From fcc3e6121dc0db2da196f95a806e0a79dff42415 Mon Sep 17 00:00:00 2001
From: Pandit Atharva <atharva@msspc65.mss.uni-erlangen.de>
Date: Mon, 7 Nov 2022 16:23:33 +0100
Subject: [PATCH 1/2] updated setup and C files

---
 75spheres_yade.png                            | Bin 0 -> 85375 bytes
 __pycache__/setup.cpython-310.pyc             | Bin 0 -> 3122 bytes
 ...Sphere on artificial data-checkpoint.ipynb | 339 +++++++++
 ...nning radioSphere on artificial data.ipynb |   2 +-
 examples/tomopack75Spheres.py                 |  20 +-
 gran_trac.png                                 | Bin 0 -> 74669 bytes
 .../FigureGenerator-Fig3-4-checkpoint.ipynb   | 559 +++++++++++++++
 .../synthetic/FigureGenerator-Fig3-4.ipynb    |   2 +-
 ...ctSphereC3.cpython-310-x86_64-linux-gnu.so | Bin 0 -> 1014760 bytes
 ...ectSphereC3.cpython-38-x86_64-linux-gnu.so | Bin 0 -> 1005480 bytes
 projectSphereC3.so                            | Bin 0 -> 1134288 bytes
 setup.py                                      |  19 +-
 test.png                                      | Bin 0 -> 79301 bytes
 test.py                                       |  83 +++
 tests/__init__.pyc                            | Bin 0 -> 315 bytes
 tests/test_cleaner.py                         |   2 +-
 tools/DEM/nddem.py                            |   2 +-
 .../__pycache__/projectSphere.cpython-38.pyc  | Bin 0 -> 15906 bytes
 tools/calibrateAttenuation.py                 |   8 +-
 tools/projectSphere.py                        |   5 +-
 .../_projectSphereC.cpp                       | 658 ++++++++++++------
 .../_projectSphereC.pyx                       |  18 +-
 .../projectSphereC3.cython/projectSphereC.cpp |  12 +-
 .../projectSphereC3.cython/projectSphereC.hpp |  13 +-
 tools/projectSphereC3.cython/trial.cpp        | 127 ++++
 25 files changed, 1604 insertions(+), 265 deletions(-)
 create mode 100644 75spheres_yade.png
 create mode 100644 __pycache__/setup.cpython-310.pyc
 create mode 100644 examples/.ipynb_checkpoints/Running radioSphere on artificial data-checkpoint.ipynb
 create mode 100644 gran_trac.png
 create mode 100644 paper/figureScripts/synthetic/.ipynb_checkpoints/FigureGenerator-Fig3-4-checkpoint.ipynb
 create mode 100755 projectSphereC3.cpython-310-x86_64-linux-gnu.so
 create mode 100755 projectSphereC3.cpython-38-x86_64-linux-gnu.so
 create mode 100755 projectSphereC3.so
 create mode 100644 test.png
 create mode 100644 test.py
 create mode 100644 tests/__init__.pyc
 create mode 100644 tools/__pycache__/projectSphere.cpython-38.pyc
 create mode 100644 tools/projectSphereC3.cython/trial.cpp

diff --git a/75spheres_yade.png b/75spheres_yade.png
new file mode 100644
index 0000000000000000000000000000000000000000..698e62d441321fd70c93343595f65bae9818bb8c
GIT binary patch
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diff --git a/examples/.ipynb_checkpoints/Running radioSphere on artificial data-checkpoint.ipynb b/examples/.ipynb_checkpoints/Running radioSphere on artificial data-checkpoint.ipynb
new file mode 100644
index 0000000..c5632bc
--- /dev/null
+++ b/examples/.ipynb_checkpoints/Running radioSphere on artificial data-checkpoint.ipynb	
@@ -0,0 +1,339 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import os, sys\n",
+    "import numpy\n",
+    "import radioSphere\n",
+    "import tifffile\n",
+    "import scipy.ndimage\n",
+    "import matplotlib\n",
+    "import matplotlib.pyplot as plt\n",
+    "\n",
+    "# Plotting stuff\n",
+    "plt.style.use('../tools/radioSphere.mplstyle')\n",
+    "matplotlib.rcParams['figure.figsize'] = [10,6]"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Experimental parameters"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "GRAPH = False # flag to control showing all graphs within functions\n",
+    "verbose = True # flag to control showing extra information in this script\n",
+    "\n",
+    "# Properties of the experimental setup\n",
+    "SOD = 20  # source to (middle of) object distance (mm)\n",
+    "SDD = 100 # source to detector panel distance (mm)\n",
+    "\n",
+    "# Detector panel properties\n",
+    "pixelSizeDetectorMM = 0.1 # size of one pixel on the detector panel (mm)\n",
+    "detectorResolution = [512,512] # number of pixels on the detector panel (-)\n",
+    "\n",
+    "# DEM parameters\n",
+    "radiusMM = 0.5 # particle radius, set in DEM script (mm)\n",
+    "DEM_output_file = '../data/radioSphereMonodisperseFlow.data'\n",
+    "samplingTransverseDistanceMM = 4 # how far from the centre of the image to draw particles\n",
+    "samplingThicknessXMM = 2 # how deep to sample particles in the beam direction (mm)\n",
+    "timeStepDEM = 20 # which time step to load\n",
+    "\n",
+    "# radioSphere parameters\n",
+    "CORxIncPerRadius = 10 # how many increments per particle radius\n",
+    "blurPX = 0.0 # how much blur to add to the images, if any\n",
+    "noiseSigmaMM = 0.0 # standard deviation of noise level (mm)\n",
+    "\n",
+    "# Derived values\n",
+    "zoomLevel = SDD/SOD # how much a particle is 'zoomed' because of the cone beam effect (-)\n",
+    "halfConeBeamAngleDegrees = numpy.degrees(numpy.arctan(radiusMM/SOD)) # defined in paper"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Generate artifical radiograph from MercuryDPM data that comes with radioSphere"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Made radiograph for thickness 2 mm. It contains 118 particles.\n",
+      "Time step 20\n",
+      "Blur 0.0 px. Noise 0.0 mm.\n",
+      "SOD = 20.00 mm. Half beam angle = 27.11 degrees.\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "this_case = f'{samplingThicknessXMM}_{timeStepDEM}_{noiseSigmaMM}_{blurPX}'\n",
+    "\n",
+    "radioMM, spheres_DEM, radiiMM, sourceObjectDistMM = radioSphere.mercury.generateSampledRadiographFromMercuryData(\n",
+    "    DEM_output_file,\n",
+    "    timeStepDEM,\n",
+    "    halfConeBeamAngleDegrees,\n",
+    "    pixelSizeDetectorMM,\n",
+    "    detectorResolution,\n",
+    "    zoomLevel=zoomLevel,\n",
+    "    samplingTransverseDistanceMM=samplingTransverseDistanceMM,\n",
+    "    samplingThicknessXMM=samplingThicknessXMM,\n",
+    "    GRAPH=GRAPH\n",
+    "    )\n",
+    "print(f\"Made radiograph for thickness {samplingThicknessXMM} mm. It contains {len(spheres_DEM)} particles.\")\n",
+    "print(f\"Time step {timeStepDEM}\")\n",
+    "print(f\"Blur {blurPX} px. Noise {noiseSigmaMM} mm.\")\n",
+    "print(f\"SOD = {sourceObjectDistMM:.2f} mm. Half beam angle = {numpy.degrees(numpy.arctan(detectorResolution[0]*pixelSizeDetectorMM/sourceObjectDistMM/zoomLevel)):.2f} degrees.\")\n",
+    "\n",
+    "# blur first\n",
+    "if blurPX > 0: radioMM = scipy.ndimage.filters.gaussian_filter(radioMM, sigma=blurPX)\n",
+    "# Add mm noise\n",
+    "if noiseSigmaMM > 0: radioMM += numpy.random.normal(scale=noiseSigmaMM, size=radioMM.shape)\n",
+    "\n",
+    "if verbose:\n",
+    "    plt.imshow(radioMM)\n",
+    "    cb = plt.colorbar()\n",
+    "    cb.set_label('Path length (mm)')\n",
+    "    plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Do tomopack scan to find particle locations in 3D"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Loading previous indicator functions... done.\n",
+      "\n",
+      "Converting tomopack x-scan to 3D positions\n",
+      "\n",
+      "\n",
+      "tomopackDivergentScanTo3DPositions(): I'm returning 118 3D positions.\n",
+      "\n",
+      "detectSpheres.calculateErrors(): number_lost = 1\n",
+      "Lost 1 particles with a typical error of 0.11977845269475211 mm.\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 720x432 with 6 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Define the distances from the source at which we want to evaluate tomopack\n",
+    "CORxMin=sourceObjectDistMM-samplingThicknessXMM/2-4*radiiMM[0]\n",
+    "CORxMax=sourceObjectDistMM+samplingThicknessXMM/2+4*radiiMM[0]\n",
+    "CORxDelta=radiiMM[0]/CORxIncPerRadius\n",
+    "CORxNumber = numpy.int(numpy.ceil((CORxMax - CORxMin)/CORxDelta))\n",
+    "\n",
+    "# Get the distance of every particle from the source\n",
+    "positionsXYZmm = radioSphere.detectSpheres.tomopackDivergentScanTo3DPositions(\n",
+    "    radioMM,\n",
+    "    radiiMM[0],\n",
+    "    CORxNumber=CORxNumber,\n",
+    "    CORxMin=CORxMin,\n",
+    "    CORxMax=CORxMax,\n",
+    "    massThreshold=0.1,\n",
+    "    maxIterations=500,\n",
+    "    scanFixedNumber=len(spheres_DEM),\n",
+    "    sourceDetectorDistMM=SDD,\n",
+    "    pixelSizeMM=pixelSizeDetectorMM,\n",
+    "    l=0.2,\n",
+    "    kTrustRatio=0.75,\n",
+    "    useCache=True,\n",
+    "    verbose=verbose,\n",
+    "    cacheFile=f'../cache/fXseriesDEM_{this_case}.tif'\n",
+    "    )\n",
+    "\n",
+    "err_mean, err_std, number_lost = radioSphere.detectSpheres.calculateErrors(positionsXYZmm,spheres_DEM,radiiMM)\n",
+    "\n",
+    "print(f'Lost {number_lost} particles with a typical error of {err_mean} mm.')\n",
+    "\n",
+    "# Now generate a radiograph using the recovered positions\n",
+    "p_f_x = radioSphere.projectSphere.projectSphereMM(\n",
+    "    positionsXYZmm,\n",
+    "    radiiMM[0]*numpy.ones(len(positionsXYZmm)),\n",
+    "    sourceDetectorDistMM=zoomLevel*sourceObjectDistMM,\n",
+    "    pixelSizeMM=pixelSizeDetectorMM,\n",
+    "    detectorResolution=radioMM.shape\n",
+    "    )\n",
+    "\n",
+    "# Calculate the current residual (difference between what we wanted and what we got)\n",
+    "residual = p_f_x - radioMM\n",
+    "\n",
+    "if verbose:\n",
+    "    plt.clf()\n",
+    "    plt.subplot(1,3,1)\n",
+    "    plt.title(\"radioMM\")\n",
+    "    plt.imshow(radioMM)\n",
+    "    plt.colorbar()\n",
+    "\n",
+    "    plt.subplot(1,3,2)\n",
+    "    plt.title(\"Guess at radioMM\")\n",
+    "    plt.imshow(p_f_x)\n",
+    "    plt.colorbar()\n",
+    "\n",
+    "    plt.subplot(1,3,3)\n",
+    "    plt.title(\"Residual from tomopack scan\")\n",
+    "    plt.imshow(residual, vmin=-1, vmax=1, cmap='coolwarm')\n",
+    "    plt.colorbar()\n",
+    "\n",
+    "    plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# (Optional) optimisation step to get better particle locations"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "\tIteration Number 390 |deltaMM|: 0.01667   |deltaMM|: 0.01567   |deltaMM|: 0.01459   |deltaMM|: 0.01397   |deltaMM|: 0.01302   |deltaMM|: 0.01198   |deltaMM|: 0.01169   |deltaMM|: 0.01092   |deltaMM|: 0.00973   |deltaMM|: 0.00976   |deltaMM|: 0.00914   |deltaMM|: 0.00865   |deltaMM|: 0.00831   |deltaMM|: 0.00781   |deltaMM|: 0.00763   |deltaMM|: 0.00749   |deltaMM|: 0.00728   |deltaMM|: 0.00698   |deltaMM|: 0.00660   |deltaMM|: 0.00651   |deltaMM|: 0.00613   |deltaMM|: 0.00587   |deltaMM|: 0.00569   |deltaMM|: 0.00561   |deltaMM|: 0.00557   |deltaMM|: 0.00547   |deltaMM|: 0.00506   |deltaMM|: 0.00539   |deltaMM|: 0.00513   |deltaMM|: 0.00492   |deltaMM|: 0.00485   |deltaMM|: 0.00482   |deltaMM|: 0.00485   |deltaMM|: 0.00474   |deltaMM|: 0.00477   |deltaMM|: 0.00423   |deltaMM|: 0.00471   |deltaMM|: 0.00410   |deltaMM|: 0.00451   |deltaMM|: 0.00465   |deltaMM|: 0.00448   |deltaMM|: 0.00449   |deltaMM|: 0.00402   |deltaMM|: 0.00456   |deltaMM|: 0.00463   |deltaMM|: 0.00452   |deltaMM|: 0.00377   |deltaMM|: 0.00394   |deltaMM|: 0.00382   |deltaMM|: 0.00388   |deltaMM|: 0.00440   |deltaMM|: 0.00381   |deltaMM|: 0.00370   |deltaMM|: 0.00368   |deltaMM|: 0.00423   |deltaMM|: 0.00424   |deltaMM|: 0.00429   |deltaMM|: 0.00381   |deltaMM|: 0.00374   |deltaMM|: 0.00367   |deltaMM|: 0.00428   |deltaMM|: 0.00373   |deltaMM|: 0.00380   |deltaMM|: 0.00370   |deltaMM|: 0.00419   |deltaMM|: 0.00424   |deltaMM|: 0.00421   |deltaMM|: 0.00413   |deltaMM|: 0.00369   |deltaMM|: 0.00373   |deltaMM|: 0.00364   |deltaMM|: 0.00416   |deltaMM|: 0.00411   |deltaMM|: 0.00422   |deltaMM|: 0.00416   |deltaMM|: 0.00378   |deltaMM|: 0.00370   |deltaMM|: 0.00406   |deltaMM|: 0.00414   |deltaMM|: 0.00371   |deltaMM|: 0.00370   |deltaMM|: 0.00385   |deltaMM|: 0.00354   |deltaMM|: 0.00422   |deltaMM|: 0.00355   |deltaMM|: 0.00418   |deltaMM|: 0.00421   |deltaMM|: 0.00381   |deltaMM|: 0.00357   |deltaMM|: 0.00407   |deltaMM|: 0.00371   |deltaMM|: 0.00373   |deltaMM|: 0.00370   |deltaMM|: 0.00381   |deltaMM|: 0.00350   |deltaMM|: 0.00379   |deltaMM|: 0.00330   |deltaMM|: 0.00364   |deltaMM|: 0.00366   |deltaMM|: 0.00365   |deltaMM|: 0.00375   |deltaMM|: 0.00374   |deltaMM|: 0.00356   |deltaMM|: 0.00377   |deltaMM|: 0.00383   |deltaMM|: 0.00395   |deltaMM|: 0.00420   |deltaMM|: 0.00365   |deltaMM|: 0.00395   |deltaMM|: 0.00398   |deltaMM|: 0.00343   |deltaMM|: 0.00381   |deltaMM|: 0.00388   |deltaMM|: 0.00380   |deltaMM|: 0.00383   |deltaMM|: 0.00386   |deltaMM|: 0.00373   |deltaMM|: 0.00390   |deltaMM|: 0.00373   |deltaMM|: 0.00370   |deltaMM|: 0.00383   |deltaMM|: 0.00379   |deltaMM|: 0.00377   |deltaMM|: 0.00356   |deltaMM|: 0.00377   |deltaMM|: 0.00370   |deltaMM|: 0.00337   |deltaMM|: 0.00374   |deltaMM|: 0.00390   |deltaMM|: 0.00382   |deltaMM|: 0.00372   |deltaMM|: 0.00383   |deltaMM|: 0.00337   |deltaMM|: 0.00387   |deltaMM|: 0.00377   |deltaMM|: 0.00347   |deltaMM|: 0.00380   |deltaMM|: 0.00370   |deltaMM|: 0.00365   |deltaMM|: 0.00318   |deltaMM|: 0.00383   |deltaMM|: 0.00366   |deltaMM|: 0.00384   |deltaMM|: 0.00392   |deltaMM|: 0.00338   |deltaMM|: 0.00377   |deltaMM|: 0.00374   |deltaMM|: 0.00371   |deltaMM|: 0.00394   |deltaMM|: 0.00377   |deltaMM|: 0.00381   |deltaMM|: 0.00375   |deltaMM|: 0.00340   |deltaMM|: 0.00381   |deltaMM|: 0.00353   |deltaMM|: 0.00383   |deltaMM|: 0.00368   |deltaMM|: 0.00386   |deltaMM|: 0.00375   |deltaMM|: 0.00385   |deltaMM|: 0.00383   |deltaMM|: 0.00378   |deltaMM|: 0.00358   |deltaMM|: 0.00372   |deltaMM|: 0.00340   |deltaMM|: 0.00379   |deltaMM|: 0.00345   |deltaMM|: 0.00371   |deltaMM|: 0.00343   |deltaMM|: 0.00335   |deltaMM|: 0.00355   |deltaMM|: 0.00357   |deltaMM|: 0.00371   |deltaMM|: 0.00337   |deltaMM|: 0.00371   |deltaMM|: 0.00340   |deltaMM|: 0.00321   |deltaMM|: 0.00371   |deltaMM|: 0.00328   |deltaMM|: 0.00347   |deltaMM|: 0.00334   |deltaMM|: 0.00373   |deltaMM|: 0.00363   |deltaMM|: 0.00329   |deltaMM|: 0.00336   |deltaMM|: 0.00352   |deltaMM|: 0.00375   |deltaMM|: 0.00316   |deltaMM|: 0.00344   |deltaMM|: 0.00349   |deltaMM|: 0.00371   |deltaMM|: 0.00348   |deltaMM|: 0.00354   |deltaMM|: 0.00325   |deltaMM|: 0.00362   |deltaMM|: 0.00313   |deltaMM|: 0.00367   |deltaMM|: 0.00349   |deltaMM|: 0.00340   |deltaMM|: 0.00342   |deltaMM|: 0.00338   |deltaMM|: 0.00304   |deltaMM|: 0.00303   |deltaMM|: 0.00346   |deltaMM|: 0.00320   |deltaMM|: 0.00307   |deltaMM|: 0.00346   |deltaMM|: 0.00307   |deltaMM|: 0.00346   |deltaMM|: 0.00348   |deltaMM|: 0.00338   |deltaMM|: 0.00333   |deltaMM|: 0.00319   |deltaMM|: 0.00335   |deltaMM|: 0.00323   |deltaMM|: 0.00314   |deltaMM|: 0.00345   |deltaMM|: 0.00344   |deltaMM|: 0.00331   |deltaMM|: 0.00319   |deltaMM|: 0.00303   |deltaMM|: 0.00304   |deltaMM|: 0.00343   |deltaMM|: 0.00310   |deltaMM|: 0.00340   |deltaMM|: 0.00307   |deltaMM|: 0.00295   |deltaMM|: 0.00343   |deltaMM|: 0.00322   |deltaMM|: 0.00295   |deltaMM|: 0.00283   |deltaMM|: 0.00319   |deltaMM|: 0.00291   |deltaMM|: 0.00291   |deltaMM|: 0.00325   |deltaMM|: 0.00308   |deltaMM|: 0.00316   |deltaMM|: 0.00309   |deltaMM|: 0.00296   |deltaMM|: 0.00323   |deltaMM|: 0.00293   |deltaMM|: 0.00289   |deltaMM|: 0.00309   |deltaMM|: 0.00298   |deltaMM|: 0.00274   |deltaMM|: 0.00274   |deltaMM|: 0.00321   |deltaMM|: 0.00281   |deltaMM|: 0.00266   |deltaMM|: 0.00303   |deltaMM|: 0.00306   |deltaMM|: 0.00310   |deltaMM|: 0.00278   |deltaMM|: 0.00276   |deltaMM|: 0.00307   |deltaMM|: 0.00294   |deltaMM|: 0.00263   |deltaMM|: 0.00309   |deltaMM|: 0.00285   |deltaMM|: 0.00261   |deltaMM|: 0.00297   |deltaMM|: 0.00277   |deltaMM|: 0.00297   |deltaMM|: 0.00275   |deltaMM|: 0.00303   |deltaMM|: 0.00281   |deltaMM|: 0.00259   |deltaMM|: 0.00295   |deltaMM|: 0.00271   |deltaMM|: 0.00300   |deltaMM|: 0.00265   |deltaMM|: 0.00261   |deltaMM|: 0.00272   |deltaMM|: 0.00295   |deltaMM|: 0.00258   |deltaMM|: 0.00264   |deltaMM|: 0.00264   |deltaMM|: 0.00290   |deltaMM|: 0.00263   |deltaMM|: 0.00260   |deltaMM|: 0.00262   |deltaMM|: 0.00267   |deltaMM|: 0.00271   |deltaMM|: 0.00252   |deltaMM|: 0.00292   |deltaMM|: 0.00257   |deltaMM|: 0.00273   |deltaMM|: 0.00253   |deltaMM|: 0.00284   |deltaMM|: 0.00258   |deltaMM|: 0.00284   |deltaMM|: 0.00252   |deltaMM|: 0.00259   |deltaMM|: 0.00292   |deltaMM|: 0.00262   |deltaMM|: 0.00257   |deltaMM|: 0.00258   |deltaMM|: 0.00248   |deltaMM|: 0.00248   |deltaMM|: 0.00243   |deltaMM|: 0.00252   |deltaMM|: 0.00262   |deltaMM|: 0.00252   |deltaMM|: 0.00255   |deltaMM|: 0.00245   |deltaMM|: 0.00235   |deltaMM|: 0.00290   |deltaMM|: 0.00241   |deltaMM|: 0.00268   |deltaMM|: 0.00235   |deltaMM|: 0.00231   |deltaMM|: 0.00277   |deltaMM|: 0.00270   |deltaMM|: 0.00246   |deltaMM|: 0.00263   |deltaMM|: 0.00250   |deltaMM|: 0.00265   |deltaMM|: 0.00242   |deltaMM|: 0.00249   |deltaMM|: 0.00242   |deltaMM|: 0.00230   |deltaMM|: 0.00252   |deltaMM|: 0.00232   |deltaMM|: 0.00240   |deltaMM|: 0.00260   |deltaMM|: 0.00240   |deltaMM|: 0.00234   |deltaMM|: 0.00246   |deltaMM|: 0.00242   |deltaMM|: 0.00215   |deltaMM|: 0.00233   |deltaMM|: 0.00238   |deltaMM|: 0.00266   |deltaMM|: 0.00234   |deltaMM|: 0.00234   |deltaMM|: 0.00267   |deltaMM|: 0.00219   |deltaMM|: 0.00231   |deltaMM|: 0.00245   |deltaMM|: 0.00235   |deltaMM|: 0.00222   |deltaMM|: 0.00227   |deltaMM|: 0.00232   |deltaMM|: 0.00251   |deltaMM|: 0.00228   |deltaMM|: 0.00235   |deltaMM|: 0.00250   |deltaMM|: 0.00224   |deltaMM|: 0.00224   |deltaMM|: 0.00242   |deltaMM|: 0.00260   |deltaMM|: 0.00229   |deltaMM|: 0.00218   |deltaMM|: 0.00244   |deltaMM|: 0.00217   |deltaMM|: 0.00209   |deltaMM|: 0.00223   |deltaMM|: 0.00248   |deltaMM|: 0.00207   |deltaMM|: 0.00216   |deltaMM|: 0.00210   |deltaMM|: 0.00232   |deltaMM|: 0.00251   |deltaMM|: 0.00215   |deltaMM|: 0.00211   |deltaMM|: 0.00237   |deltaMM|: 0.00211   |deltaMM|: 0.00208   |deltaMM|: 0.00207   |deltaMM|: 0.00216   |deltaMM|: 0.00200   |deltaMM|: 0.00215   |deltaMM|: 0.00212   |deltaMM|: 0.00225   |deltaMM|: 0.00205   |deltaMM|: 0.00206   |deltaMM|: 0.00213   |deltaMM|: 0.00214   |deltaMM|: 0.00212   |deltaMM|: 0.00229   |deltaMM|: 0.00194   |deltaMM|: 0.00200   |deltaMM|: 0.00208   |deltaMM|: 0.00213   |deltaMM|: 0.00189   |deltaMM|: 0.00195   |deltaMM|: 0.00234   |deltaMM|: 0.00203   |deltaMM|: 0.00202   |deltaMM|: 0.00200"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "\tIteration Number 436   |deltaMM|: 0.00203   |deltaMM|: 0.00192   |deltaMM|: 0.00196   |deltaMM|: 0.00197   |deltaMM|: 0.00198   |deltaMM|: 0.00199   |deltaMM|: 0.00197   |deltaMM|: 0.00209   |deltaMM|: 0.00220   |deltaMM|: 0.00217   |deltaMM|: 0.00184   |deltaMM|: 0.00200   |deltaMM|: 0.00199   |deltaMM|: 0.00196   |deltaMM|: 0.00197   |deltaMM|: 0.00198   |deltaMM|: 0.00205   |deltaMM|: 0.00212   |deltaMM|: 0.00212   |deltaMM|: 0.00177   |deltaMM|: 0.00219   |deltaMM|: 0.00182   |deltaMM|: 0.00186   |deltaMM|: 0.00193   |deltaMM|: 0.00181   |deltaMM|: 0.00191   |deltaMM|: 0.00183   |deltaMM|: 0.00187   |deltaMM|: 0.00175   |deltaMM|: 0.00190   |deltaMM|: 0.00185   |deltaMM|: 0.00188   |deltaMM|: 0.00182   |deltaMM|: 0.00189   |deltaMM|: 0.00174   |deltaMM|: 0.00181   |deltaMM|: 0.00184   |deltaMM|: 0.00182   |deltaMM|: 0.00177   |deltaMM|: 0.00176   |deltaMM|: 0.00178   |deltaMM|: 0.00173   |deltaMM|: 0.00167   |deltaMM|: 0.00173   |deltaMM|: 0.00174"
+     ]
+    }
+   ],
+   "source": [
+    "positionsXYZmmOpt = radioSphere.optimisePositions.optimiseSensitivityFields(\n",
+    "    radioMM,\n",
+    "    positionsXYZmm,\n",
+    "    radiiMM[0]*numpy.ones(len(positionsXYZmm)),\n",
+    "    perturbationMM=(0.1, 0.05, 0.05),\n",
+    "    minDeltaMM=0.0001,\n",
+    "    iterationsMax=500,\n",
+    "    sourceDetectorDistMM=zoomLevel*sourceObjectDistMM,\n",
+    "    pixelSizeMM=pixelSizeDetectorMM,\n",
+    "    detectorResolution=radioMM.shape,\n",
+    "    verbose=verbose,\n",
+    "    )\n",
+    "\n",
+    "p_f_x_Opt = radioSphere.projectSphere.projectSphereMM(\n",
+    "    positionsXYZmmOpt,\n",
+    "    radiiMM[0]*numpy.ones(len(positionsXYZmmOpt)),\n",
+    "    sourceDetectorDistMM=zoomLevel*sourceObjectDistMM,\n",
+    "    pixelSizeMM=pixelSizeDetectorMM,\n",
+    "    detectorResolution=radioMM.shape\n",
+    "    )\n",
+    "\n",
+    "\n",
+    "residualOpt = p_f_x_Opt - radioMM\n",
+    "\n",
+    "if verbose:\n",
+    "    plt.clf()\n",
+    "    plt.subplot(2,2,1)\n",
+    "    plt.title(\"radioMM\")\n",
+    "    plt.imshow(radioMM)\n",
+    "    plt.colorbar()\n",
+    "\n",
+    "    plt.subplot(2,2,2)\n",
+    "    plt.title(\"Residual from tomopack $\\psi$ scan 3D guess\")\n",
+    "    plt.imshow(residual, vmin=-1, vmax=1, cmap='coolwarm')\n",
+    "    plt.colorbar()\n",
+    "\n",
+    "    plt.subplot(2,2,3)\n",
+    "    plt.title(\"Residual after optimisation\")\n",
+    "    plt.imshow(residualOpt, vmin=-1, vmax=1, cmap='coolwarm')\n",
+    "    plt.colorbar()\n",
+    "\n",
+    "    plt.subplot(2,2,4)\n",
+    "    plt.title(r\"Residual after optimisation ($\\frac{1}{50}$ LUT range)\")\n",
+    "    plt.imshow(residualOpt, vmin=-0.02, vmax=0.02, cmap='coolwarm')\n",
+    "    plt.colorbar()\n",
+    "    plt.show()\n",
+    "\n",
+    "err_mean, err_std, number_lost = radioSphere.detectSpheres.calculateErrors(positionsXYZmmOpt,spheres_DEM,radiiMM)\n",
+    "print(f'Lost {number_lost} particles with a typical error of {err_mean} mm.')\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.10"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/examples/Running radioSphere on artificial data.ipynb b/examples/Running radioSphere on artificial data.ipynb
index 5c54658..c5632bc 100644
--- a/examples/Running radioSphere on artificial data.ipynb	
+++ b/examples/Running radioSphere on artificial data.ipynb	
@@ -331,7 +331,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.5"
+   "version": "3.8.10"
   }
  },
  "nbformat": 4,
diff --git a/examples/tomopack75Spheres.py b/examples/tomopack75Spheres.py
index 31917cb..bf2bc2d 100644
--- a/examples/tomopack75Spheres.py
+++ b/examples/tomopack75Spheres.py
@@ -15,14 +15,14 @@ parameters = [
 
 for radMM, nSphere, cylDiamMM, randomNoises, xPos in parameters:
     # Load yade-generated data
-    xyzr = numpy.genfromtxt("./data/yade/cylinderDiam-{:0.3f}_sphereDiam-{:0.3f}_numberSpheres-{}.txt".format(cylDiamMM/1000, 2*radMM/1000, nSphere), skip_header=1)
+    xyzr = numpy.genfromtxt("../data/yade/cylinderDiam-{:0.3f}_sphereDiam-{:0.3f}_numberSpheres-{}.txt".format(cylDiamMM/1000, 2*radMM/1000, nSphere), skip_header=1)
     pos      = xyzr[:, 0:3]*1000
     radArray = xyzr[:, -1]*1000
     # zero mean
     pos -= numpy.mean(pos, axis=0)
     # Move in x-ray direction
     pos[:,0] += xPos
-    projMM = radioSphere.projectSphere.projectSphereMM(pos, radArray)
+    projMM = radioSphere.projectSphere.projectSphereMM(pos, radArray, atten_params=numpy.ones(len(xyzr)))
 
     # Set up second projection
     slaveCentreMM = [xPos,0,0]
@@ -30,7 +30,8 @@ for radMM, nSphere, cylDiamMM, randomNoises, xPos in parameters:
 
     projMM = radioSphere.projectSphere.projectSphereMM(pos,
                                                             radArray,
-                                                            sourceDetectorDistMM=numpy.inf
+                                                            sourceDetectorDistMM=100,
+                                                            atten_params=numpy.ones(len(pos)),
                                                             # transformationCentreMM=slaveCentreMM,
                                                             # transformationMatrix=slaveTransformation)
                                                             )
@@ -38,23 +39,24 @@ for radMM, nSphere, cylDiamMM, randomNoises, xPos in parameters:
 
 psi = radioSphere.projectSphere.projectSphereMM(numpy.array([[xPos-0.5,0,0]]),
                                           numpy.array([1]),
-                                          sourceDetectorDistMM=numpy.inf
+                                          sourceDetectorDistMM=numpy.inf,
+                                          atten_params=numpy.ones(len(xyzr))
                                           # transformationCentreMM=slaveCentreMM,
                                           # transformationMatrix=slaveTransformation)
                                           )
 # plt.imshow(psi); plt.colorbar(); plt.show()
 
-
-f_x = radioSphere.detectSpheres.tomopack(projMM, psi, maxIterations=100, GRAPH=False,
+'''
+f_x = radioSphere.detectSpheres.tomopack(projMM, psi, maxIterations=100,
                                          # epsilon=1.0
                                          epsilon='iterative'
                                          )
-
 posPack = radioSphere.detectSpheres.indicatorFunctionToDetectorPositions(f_x)
 print(posPack.shape)
 print(posPack)
-
+'''
 # plt.ioff()
 plt.imshow(projMM)
-plt.plot((numpy.array(posPack).T)[0,:], (numpy.array(posPack).T)[1,:], 'rx')
+#plt.plot((numpy.array(posPack).T)[0,:], (numpy.array(posPack).T)[1,:], 'rx')
+plt.colorbar()
 plt.show()
diff --git a/gran_trac.png b/gran_trac.png
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HcmV?d00001

diff --git a/paper/figureScripts/synthetic/.ipynb_checkpoints/FigureGenerator-Fig3-4-checkpoint.ipynb b/paper/figureScripts/synthetic/.ipynb_checkpoints/FigureGenerator-Fig3-4-checkpoint.ipynb
new file mode 100644
index 0000000..58f1cd8
--- /dev/null
+++ b/paper/figureScripts/synthetic/.ipynb_checkpoints/FigureGenerator-Fig3-4-checkpoint.ipynb
@@ -0,0 +1,559 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "from mpl_toolkits.axes_grid1 import make_axes_locatable\n",
+    "from scipy.ndimage import maximum_filter, convolve\n",
+    "from matplotlib.colors import LogNorm\n",
+    "plt.style.use('../tools/radioSphere.mplstyle')\n",
+    "%matplotlib inline\n",
+    "\n",
+    "import matplotlib\n",
+    "# matplotlib.rcParams['text.latex.preamble'] = '\\\\renewcommand{\\\\vec}[1]{\\\\underline{#1}};\\\\newcommand{\\\\im}[1]{\\\\underline{\\\\underline{#1}}}'\n",
+    "matplotlib.rcParams['text.latex.preamble'] = '\\\\renewcommand{\\\\vec}[1]{\\\\mathbf{#1}}\\n\\\\newcommand{\\\\im}[1]{#1}'\n",
+    "\n",
+    "single_column_width = 3.2872828 # 236.6843 pt in inches, for MST manuscript\n",
+    "double_column_width = 6.7753125 # 487.8225 pt in inches, for MST manuscript\n",
+    "golden_ratio = (1 + np.sqrt(5))/2."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def single_particle_projection(x, y, x_detector, y_detector, a):\n",
+    "    # This function returns the parallel projection (dims of x_detector) of particles positioned at x and y\n",
+    "    psi = a*np.sqrt(r**2 - (x - x_detector)**2 - (y - y_detector)**2)\n",
+    "    psi[np.isnan(psi)] = 0.\n",
+    "    # psi = np.exp(-((x-x_detector)/r)**2)\n",
+    "    return psi\n",
+    "\n",
+    "# non-naiive approach\n",
+    "def PI_projector(f):\n",
+    "    g = f.copy()\n",
+    "    g[f<0.5] = 0.\n",
+    "    g[g.imag < 1e-14] = np.round(g[g.imag < 1e-14])\n",
+    "    # g.real = np.round(g.real)\n",
+    "    # g = np.round(g) # NOTE: Should this have an abs?\n",
+    "    # g = np.round(np.abs(g)) # NOTE: Should this have an abs?\n",
+    "    return g\n",
+    "\n",
+    "# Bottom of page 8 in TomoPack.pdf --- just take peaks in a 3x3 pixel area, and weight by all of the mass in that area\n",
+    "def filter_maxima(f,debug=False):\n",
+    "    f_abs = np.abs(f)\n",
+    "    f_abs[f<0] = 0\n",
+    "    g = maximum_filter(f_abs,size=3)\n",
+    "    peaks = f_abs == g\n",
+    "    masses = convolve(f_abs,[[1,1,1],[1,1,1],[1,1,1]])\n",
+    "    if debug:\n",
+    "        plt.imshow(np.real(f))\n",
+    "        plt.title('real part of original estimation')\n",
+    "        plt.colorbar()\n",
+    "        plt.show()\n",
+    "        plt.imshow(f_abs)\n",
+    "        plt.title('positive real component')\n",
+    "        plt.colorbar()\n",
+    "        plt.show()\n",
+    "        plt.imshow(g)\n",
+    "        plt.colorbar()\n",
+    "        plt.title('Local filtered maxima')\n",
+    "        plt.show()\n",
+    "        plt.imshow(peaks)\n",
+    "        plt.colorbar()\n",
+    "        plt.title('Location of local peaks')\n",
+    "        plt.show()\n",
+    "        plt.imshow(masses)\n",
+    "        plt.colorbar()\n",
+    "        plt.title('Local masses')\n",
+    "        plt.show()\n",
+    "        plt.imshow(peaks*masses)\n",
+    "        plt.colorbar()\n",
+    "        plt.title('Final weighted estimation')\n",
+    "        plt.show()\n",
+    "    return peaks*masses"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Make convolution example"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "<ipython-input-21-550d8b7010cc>:3: RuntimeWarning: invalid value encountered in sqrt\n",
+      "  psi = a*np.sqrt(r**2 - (x - x_detector)**2 - (y - y_detector)**2)\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 487.822x139.378 with 6 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "nx = 201\n",
+    "ny = 201\n",
+    "L = 0.1\n",
+    "x = np.linspace(-L,L,nx)\n",
+    "y = np.linspace(-L,L,ny)\n",
+    "x_plot = np.linspace(-L,L,nx+1)\n",
+    "y_plot = np.linspace(-L,L,nx+1)\n",
+    "X,Y = np.meshgrid(x,y,indexing='ij')\n",
+    "x_true = []\n",
+    "y_true = []\n",
+    "r = 0.01\n",
+    "a = 1./r\n",
+    "N = 30\n",
+    "\n",
+    "np.random.seed(seed=0)\n",
+    "# xp = 2*np.random.rand(N,2) - 1\n",
+    "\n",
+    "p = np.zeros([nx,ny])\n",
+    "I = np.zeros([nx,ny])\n",
+    "psi = single_particle_projection(0,0,X,Y,a)\n",
+    "pad = 2*r\n",
+    "for i in range(N):\n",
+    "    x_loc = 2*(L-pad)*np.random.rand() - (L - pad)\n",
+    "    y_loc = 2*(L-pad)*np.random.rand() - (L - pad)\n",
+    "    x_index = int((x_loc + L)/(2*L)*nx)\n",
+    "    y_index = int((y_loc + L)/(2*L)*ny)\n",
+    "    I[x_index,y_index] += 1\n",
+    "    p += single_particle_projection(x_loc,y_loc,X,Y,a)\n",
+    "    x_true.append(x_loc)\n",
+    "    y_true.append(y_loc)\n",
+    "    \n",
+    "plt.close('all')\n",
+    "aspect_ratio = 3.5\n",
+    "fig = plt.figure(figsize=[double_column_width,double_column_width/aspect_ratio])\n",
+    "\n",
+    "ax = plt.subplot(131)\n",
+    "plt.title(r'$\\im{\\psi}(\\vec{x})$', pad=7)\n",
+    "plt.pcolormesh(x_plot,y_plot,psi,rasterized=True)\n",
+    "plt.xticks([-L,0,L])\n",
+    "plt.yticks([-L,0,L])\n",
+    "plt.xlabel(r'$y$ (m)')\n",
+    "plt.ylabel(r'$z$ (m)',labelpad=-5)\n",
+    "plt.gca().set_aspect('equal')\n",
+    "\n",
+    "divider = make_axes_locatable(ax)\n",
+    "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.1)\n",
+    "cbar = plt.colorbar(ax=ax,cax=cax,ticks=[0,1])\n",
+    "# cbar.ax.set_yticklabels(['0','0.01'])\n",
+    "# plt.colorbar()\n",
+    "\n",
+    "ax = plt.subplot(132)\n",
+    "plt.title(r'$\\im{\\mathcal{I}}(\\vec{x})$', pad=5)\n",
+    "plt.pcolormesh(x_plot,y_plot,I,rasterized=True,cmap='gray_r')\n",
+    "plt.xticks([-L,0,L])\n",
+    "plt.yticks([-L,0,L])\n",
+    "plt.xlabel(r'$y$ (m)')\n",
+    "plt.ylabel(r'$z$ (m)',labelpad=-5)\n",
+    "plt.gca().set_aspect('equal')\n",
+    "\n",
+    "divider = make_axes_locatable(ax)\n",
+    "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.1)\n",
+    "plt.colorbar(ax=ax,cax=cax,ticks=[0,1])\n",
+    "\n",
+    "ax = plt.subplot(133)\n",
+    "plt.title(r'$\\im{p}(\\vec{x})$', pad=7)\n",
+    "plt.pcolormesh(x_plot,y_plot,p,rasterized=True,vmin=0,vmax=2)\n",
+    "plt.xticks([-L,0,L])\n",
+    "plt.yticks([-L,0,L])\n",
+    "plt.xlabel(r'$y$ (m)')\n",
+    "plt.ylabel(r'$z$ (m)',labelpad=-5)\n",
+    "plt.gca().set_aspect('equal')\n",
+    "\n",
+    "divider = make_axes_locatable(ax)\n",
+    "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.1)\n",
+    "plt.colorbar(ax=ax,cax=cax,ticks=[0,1,2,3])\n",
+    "\n",
+    "\n",
+    "plt.subplots_adjust(left=0.08,right=0.94,bottom=0.22,top=0.90,wspace=0.5)\n",
+    "plt.savefig('convolution_example.pdf')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Make FFT example"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Took 49 iterations to complete.\n",
+      "Worst particle match is 0.6865809128759589 pixels\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "<ipython-input-21-550d8b7010cc>:3: RuntimeWarning: invalid value encountered in sqrt\n",
+      "  psi = a*np.sqrt(r**2 - (x - x_detector)**2 - (y - y_detector)**2)\n"
+     ]
+    }
+   ],
+   "source": [
+    "epsilon = 0.1 # trust cutoff in psi\n",
+    "l = 0.1 # lambda, relaxation parameter\n",
+    "\n",
+    "p_FFT = np.fft.fft2(p)\n",
+    "psi_FFT = np.fft.fft2(psi)\n",
+    "\n",
+    "# Prepare for iterations\n",
+    "f_x = np.zeros_like(X)\n",
+    "f_x_old = epsilon*np.ones_like(X)\n",
+    "k_trust = np.abs(psi_FFT) > epsilon\n",
+    "f_k_naiive = p_FFT/psi_FFT\n",
+    "f_x_naiive = np.fft.ifft2(f_k_naiive)\n",
+    "\n",
+    "count = 0\n",
+    "errs = []\n",
+    "\n",
+    "while np.linalg.norm(f_x - f_x_old) > 1e-3: # NOTE: Using a different epsilon here\n",
+    "    errs.append(np.linalg.norm(f_x - f_x_old))\n",
+    "    f_x_old = f_x.copy()\n",
+    "    f_k = np.fft.fft2(f_x)\n",
+    "    f_k[k_trust] = f_k_naiive[k_trust]\n",
+    "    f_x = np.fft.fftshift(np.fft.ifft2(f_k)) # importing HACK from 1D version\n",
+    "    f_x = f_x + l*(PI_projector(f_x) - f_x)\n",
+    "    count += 1\n",
+    "    if count > 1000:\n",
+    "        print('KILLED LOOP')\n",
+    "        break\n",
+    "print('Took ' + str(count) + ' iterations to complete.')\n",
+    "\n",
+    "f_x = filter_maxima(f_x,debug=False)\n",
+    "\n",
+    "# divergence from 1D script, organise image to find highest N points\n",
+    "indicesFlat = np.argpartition(f_x, -N, axis=None)[-N:]\n",
+    "# Turn it back into 2D coordinates -- Eddy version of np.unravel_index(indices, ary.shape)\n",
+    "p_predicted = np.zeros((N,2), dtype=int)\n",
+    "p_predicted[:,0] = indicesFlat % X.shape[1]\n",
+    "p_predicted[:,1] = indicesFlat //  X.shape[1]\n",
+    "\n",
+    "not_k_trust_ind = np.where(~k_trust)\n",
+    "\n",
+    "one_on_psi_plot = 1./np.abs(psi_FFT)\n",
+    "one_on_psi_plot[~k_trust] = np.nan\n",
+    "\n",
+    "p_f_x = np.zeros_like(X, dtype=float)\n",
+    "for i in range(N):\n",
+    "    #print(x_detector[p_predicted[i,0], p_predicted[i,1]])\n",
+    "    #print(x_detector[p_predicted[i]], y_detector[p_predicted[i]])\n",
+    "    p_f_x += single_particle_projection(X[p_predicted[i,1], p_predicted[i,0]], Y[p_predicted[i,1], p_predicted[i,0]],\n",
+    "                                        X, Y, a)\n",
+    "residual = p_f_x - p\n",
+    "\n",
+    "p_true = np.vstack([x_true,y_true]).T\n",
+    "p_predMM = np.vstack([x[p_predicted[:,1]],y[p_predicted[:,0]]]).T\n",
+    "\n",
+    "from scipy.spatial import distance\n",
+    "distances = distance.cdist(p_true,p_predMM)\n",
+    "distance_threshold = r\n",
+    "\n",
+    "# an empty column in the distance matrix is a lost particle\n",
+    "number_lost = np.sum((np.sum(distances <= distance_threshold, axis=0) == 0))\n",
+    "if number_lost > 0: print(f\"detectSpheres.calculateErrors(): number_lost = {number_lost}\")\n",
+    "\n",
+    "# get errors\n",
+    "min_errors = np.min(distances, axis=0) # best match for each column\n",
+    "min_valid_errors = min_errors[min_errors < distance_threshold] # just where we found a particle\n",
+    "dx = x[1] - x[0]\n",
+    "print(f'Worst particle match is {(min_errors/dx).max()} pixels')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 34,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Done\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 487.822x243.911 with 12 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "aspect_ratio = 2.\n",
+    "plt.figure(figsize=[double_column_width,double_column_width/aspect_ratio])\n",
+    "title_pad = 5\n",
+    "\n",
+    "k = np.fft.fftshift(np.fft.fftfreq(nx))#,x[1] - x[0]))\n",
+    "k *= 200 # signal length\n",
+    "dk = k[1] - k[0]\n",
+    "k_plot = np.hstack([k[0]-dk/2,k+dk])\n",
+    "\n",
+    "ax = plt.subplot(231)\n",
+    "plt.pcolormesh(k_plot,k_plot,np.abs(np.fft.fftshift(p_FFT)), norm=LogNorm(vmin=1e-3, vmax=1e3), rasterized=True)\n",
+    "# plt.xticks([-L,0,L])\n",
+    "# plt.yticks([-L,0,L])\n",
+    "plt.xlabel(r'$k_y$ (px)')\n",
+    "plt.ylabel(r'$k_z$ (px)',labelpad=-5)\n",
+    "plt.gca().set_aspect('equal')\n",
+    "plt.title(r'$|\\im{\\tilde{p}}(\\vec{k})|$',pad=title_pad)\n",
+    "divider = make_axes_locatable(ax)\n",
+    "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.1)\n",
+    "cb = plt.colorbar(ax=ax,cax=cax,ticks=[1e-3,1e0,1e3])\n",
+    "# cb.set_label(r'$|\\tilde{p}(k)|$',rotation=0,y=0.75,labelpad=-5)\n",
+    "\n",
+    "ax = plt.subplot(232)\n",
+    "plt.pcolormesh(k_plot,k_plot,np.abs(np.fft.fftshift(psi_FFT)), norm=LogNorm(vmin=1e-3, vmax=1e3), rasterized=True)\n",
+    "# plt.xticks([-L,0,L])\n",
+    "# plt.yticks([-L,0,L])\n",
+    "plt.xlabel(r'$k_y$ (px)')\n",
+    "plt.ylabel(r'$k_z$ (px)',labelpad=-5)\n",
+    "plt.gca().set_aspect('equal')\n",
+    "plt.title(r'$|\\im{\\tilde{\\psi}}(\\vec{k})|$',pad=title_pad)\n",
+    "divider = make_axes_locatable(ax)\n",
+    "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.1)\n",
+    "cb = plt.colorbar(ax=ax,cax=cax,ticks=[1e-3,1e0,1e3])\n",
+    "# cb.set_label(r'$|\\tilde{\\psi}(k)|$',rotation=0,y=1,labelpad=8)\n",
+    "\n",
+    "\n",
+    "ax = plt.subplot(233)\n",
+    "# plt.imshow(one_on_psi_plot, norm=LogNorm())\n",
+    "plt.pcolormesh(k_plot,k_plot,1./np.abs(np.fft.fftshift(psi_FFT)), norm=LogNorm(vmin=1e-3, vmax=1e3), rasterized=True)\n",
+    "# plt.semilogy(np.arange(len(psi_FFT))[k_trust],1./np.abs(psi_FFT)[k_trust],'g.')\n",
+    "#plt.semilogy(np.arange(len(psi_FFT))[~k_trust],1./np.abs(psi_FFT)[~k_trust],'r.')\n",
+    "#plt.semilogy([0,len(psi_FFT)],[1./epsilon,1./epsilon],'k--')\n",
+    "# plt.plot(not_k_trust_ind[0], not_k_trust_ind[1], 'r.')\n",
+    "# plt.xticks([-L,0,L])\n",
+    "# plt.yticks([-L,0,L])\n",
+    "plt.xlabel(r'$k_y$ (px)')\n",
+    "plt.ylabel(r'$k_z$ (px)',labelpad=-5)\n",
+    "plt.gca().set_aspect('equal')\n",
+    "plt.title(r'$|\\im{\\tilde{\\psi}}(\\vec{k})|^{-1}$',pad=title_pad)\n",
+    "divider = make_axes_locatable(ax)\n",
+    "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.1)\n",
+    "cb = plt.colorbar(ax=ax,cax=cax,ticks=[1e-3,1e0,1e3])\n",
+    "# cb.set_label(r'$|\\tilde{\\psi}(k)|^{-1}$',rotation=0,y=1.1,labelpad=-5)\n",
+    "\n",
+    "# plt.ylim(0,1./epsilon)\n",
+    "\n",
+    "#plt.subplot(337)\n",
+    "#plt.title(r'Naiive $\\tilde{f}(k)=\\tilde{p}(k)/\\tilde{\\psi}(k)$')\n",
+    "#plt.imshow(np.real(f_k_naiive))\n",
+    "##plt.ylim(-30,30)\n",
+    "\n",
+    "ax = plt.subplot(234)\n",
+    "plt.pcolormesh(k_plot,k_plot,np.fft.fftshift(k_trust), rasterized=True, cmap='gray_r')# norm=LogNorm(vmin=1e-2, vmax=1e2))\n",
+    "# plt.xticks([-L,0,L])\n",
+    "# plt.yticks([-L,0,L])\n",
+    "plt.xlabel(r'$k_y$ (px)')\n",
+    "plt.ylabel(r'$k_z$ (px)',labelpad=-5)\n",
+    "plt.gca().set_aspect('equal')\n",
+    "plt.title(r'$\\im{K_{trust}}(\\vec{k})$',pad=title_pad)\n",
+    "divider = make_axes_locatable(ax)\n",
+    "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.1)\n",
+    "cb = plt.colorbar(ax=ax,cax=cax,ticks=[0,1])\n",
+    "# cb.set_label(r'$|\\tilde{f}(k)|$',rotation=0,y=1.1,labelpad=-10)\n",
+    "\n",
+    "# plt.plot(np.arange(len(f_k))[k_trust],np.real(f_k)[k_trust],'g.')\n",
+    "#plt.plot(np.arange(len(f_k))[~k_trust],np.real(f_k)[~k_trust],'r.')\n",
+    "# plt.plot(not_k_trust_ind[0], not_k_trust_ind[1], 'r.')\n",
+    "#plt.ylim(-30,30)\n",
+    "\n",
+    "ax = plt.subplot(235)\n",
+    "plt.pcolormesh(x_plot,y_plot,PI_projector(f_x), rasterized=True, cmap='gray_r')\n",
+    "#plt.plot(x_detector,PI_projector(f_x),'.')\n",
+    "# plt.plot(p_predicted[:,0], p_predicted[:,1], 'o', mec='r', mfc='None', mew=0.1)\n",
+    "plt.xticks([-L,0,L])\n",
+    "plt.yticks([-L,0,L])\n",
+    "plt.xlabel(r'$y$ (m)')\n",
+    "plt.ylabel(r'$z$ (m)',labelpad=-5)\n",
+    "plt.gca().set_aspect('equal')\n",
+    "plt.title(r'$\\im{\\Pi}[f(\\vec{x})]$',pad=title_pad)\n",
+    "divider = make_axes_locatable(ax)\n",
+    "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.1)\n",
+    "cb = plt.colorbar(ax=ax,cax=cax,ticks=[0,1])\n",
+    "# cb.set_label(r'$\\Pi[f(x)]$',rotation=0,y=0.85,labelpad=0)\n",
+    "\n",
+    "\n",
+    "ax = plt.subplot(236)\n",
+    "vmax = np.abs(residual).max()\n",
+    "plt.pcolormesh(x_plot,y_plot,residual, vmin=-vmax, vmax=vmax, cmap='bwr', rasterized=True)\n",
+    "plt.xticks([-L,0,L])\n",
+    "plt.yticks([-L,0,L])\n",
+    "plt.xlabel(r'$y$ (m)')\n",
+    "plt.ylabel(r'$z$ (m)',labelpad=-5)\n",
+    "plt.gca().set_aspect('equal')\n",
+    "plt.title(r'$\\im{e}(\\vec{x})$ (mm)',pad=title_pad)\n",
+    "divider = make_axes_locatable(ax)\n",
+    "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.1)\n",
+    "cb = plt.colorbar(ax=ax,cax=cax)\n",
+    "# cb.set_label(r'$e$',rotation=0,y=1.1,labelpad=-25)\n",
+    "\n",
+    "\n",
+    "\n",
+    "plt.subplots_adjust(left=0.071,right=0.93,bottom=0.117,top=0.94,wspace=1,hspace=0.5)\n",
+    "plt.savefig('FFT_example.pdf')\n",
+    "# plt.show()\n",
+    "\n",
+    "print('Done')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 81,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "%matplotlib inline\n",
+    "e = errs[2:]\n",
+    "plt.semilogy(np.arange(len(e)),e)\n",
+    "plt.xlabel('Iteration')\n",
+    "plt.ylabel('Residual')\n",
+    "plt.savefig('FFT_iterations.pdf')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "<ipython-input-4-3266b04c0601>:14: MatplotlibDeprecationWarning: shading='flat' when X and Y have the same dimensions as C is deprecated since 3.3.  Either specify the corners of the quadrilaterals with X and Y, or pass shading='auto', 'nearest' or 'gouraud', or set rcParams['pcolor.shading'].  This will become an error two minor releases later.\n",
+      "  plt.pcolormesh(np.degrees(theta),np.degrees(phi),aspect,vmin=1,vmax=1e1,norm=LogNorm(),rasterized=True)\n",
+      "<ipython-input-4-3266b04c0601>:14: MatplotlibDeprecationWarning: Passing parameters norm and vmin/vmax simultaneously is deprecated since 3.3 and will become an error two minor releases later. Please pass vmin/vmax directly to the norm when creating it.\n",
+      "  plt.pcolormesh(np.degrees(theta),np.degrees(phi),aspect,vmin=1,vmax=1e1,norm=LogNorm(),rasterized=True)\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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+      "text/plain": [
+       "<Figure size 236.684x146.279 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "theta = np.linspace(0,np.pi/2,501)\n",
+    "phi = np.linspace(0,np.pi/2,501)\n",
+    "Theta,Phi = np.meshgrid(theta,phi)\n",
+    "\n",
+    "plt.figure(figsize=[single_column_width,single_column_width/golden_ratio])\n",
+    "\n",
+    "# aspect = np.sin(np.pi/2. + Phi)/np.sin(np.pi/2. - Theta - Phi)\n",
+    "# aspect = 2*np.cos(Phi)/(np.cos(Theta + Phi) + np.cos(Theta - Phi))\n",
+    "aspect = 1./np.cos(Theta)\n",
+    "# projectedAspectRatio = 2*numpy.cos(halfBeamAngle)/(numpy.cos(alpha+halfBeamAngle)+numpy.cos(alpha-halfBeamAngle)) # Stephane's version\n",
+    "# aspect[aspect<0] = np.nan\n",
+    "# aspect[aspect>10] = np.nan\n",
+    "# aspect[(aspect<1.0001)*(aspect>0.9999)] = 1\n",
+    "plt.pcolormesh(np.degrees(theta),np.degrees(phi),aspect,vmin=1,vmax=1e1,norm=LogNorm(),rasterized=True)\n",
+    "levels = np.linspace(1,2,5)\n",
+    "# levels = np.logspace(0,1,5)\n",
+    "# levels = [1,2,3,5,10]\n",
+    "# plt.contour(Alpha,Phi,aspect,levels=levels)\n",
+    "cb = plt.colorbar(ticks=[1,2,3,4,5,6,10])\n",
+    "cb.ax.set_yticklabels([1,2,3,4,5,6,10])  # vertically oriented colorbar\n",
+    "plt.minorticks_off()\n",
+    "cb.set_label('$\\mathrm{AR}$ (-)')\n",
+    "\n",
+    "plt.xlabel(r'$\\theta$ (degrees)',labelpad=0)\n",
+    "plt.ylabel(r'$\\phi$ (degrees)',labelpad=2)\n",
+    "plt.xticks([0,20,40,60])\n",
+    "plt.yticks([0,30,60,90])\n",
+    "\n",
+    "plt.subplots_adjust(left=0.13,bottom=0.18,top=0.97,right=0.95)\n",
+    "plt.savefig('projectedParticleAspectRatio.pdf')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.10"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}
diff --git a/paper/figureScripts/synthetic/FigureGenerator-Fig3-4.ipynb b/paper/figureScripts/synthetic/FigureGenerator-Fig3-4.ipynb
index cb55db9..58f1cd8 100644
--- a/paper/figureScripts/synthetic/FigureGenerator-Fig3-4.ipynb
+++ b/paper/figureScripts/synthetic/FigureGenerator-Fig3-4.ipynb
@@ -551,7 +551,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.5"
+   "version": "3.8.10"
   }
  },
  "nbformat": 4,
diff --git a/projectSphereC3.cpython-310-x86_64-linux-gnu.so b/projectSphereC3.cpython-310-x86_64-linux-gnu.so
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diff --git a/projectSphereC3.cpython-38-x86_64-linux-gnu.so b/projectSphereC3.cpython-38-x86_64-linux-gnu.so
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diff --git a/setup.py b/setup.py
index a1b695f..e6c0594 100644
--- a/setup.py
+++ b/setup.py
@@ -43,17 +43,22 @@ def readConf(fileName, comments=["#"]):
     print("reading '{}': add {}".format(fileName, read))
     return req
 
+ext_modules = [Extension("projectSphereC3",
+                  sources=["tools/projectSphereC3.cython/_projectSphereC.pyx",
+                           "tools/projectSphereC3.cython/projectSphereC.cpp"],
+                  include_dirs=[numpy.get_include(),"tools/projectSphereC3.cython/"],
+                  extra_compile_args=["-fopenmp", "-I/usr/include/eigen3"],
+                  extra_link_args=['-fopenmp'],
+                  language="c++")]
+
+for e in ext_modules:
+    e.cython_directives = {'language_level': "3"}
+
 setup(
     name=name,
     version=version,
     cmdclass={'build_ext': build_ext},
-    ext_modules=[ Extension("projectSphereC3",
-                  sources=["tools/projectSphereC3.cython/_projectSphereC.pyx",
-                           "tools/projectSphereC3.cython/projectSphereC.cpp"],
-                  include_dirs=[numpy.get_include(),'tools/projectSphereC3.cython/'],
-                  extra_compile_args=['-fopenmp','-I/usr/local/include/eigen3', '-I/usr/include/eigen3', '-I' + EIGEN_LOC + '/include/eigen3'],
-                  # extra_link_args=['-fopenmp'],
-                  language='c++')],
+    ext_modules = ext_modules,
     test_suite="tests",
     author = 'Edward Ando and Benjy Marks',
     author_email = 'edward.ando@3sr-grenoble.fr',
diff --git a/test.png b/test.png
new file mode 100644
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diff --git a/test.py b/test.py
new file mode 100644
index 0000000..a8fe189
--- /dev/null
+++ b/test.py
@@ -0,0 +1,83 @@
+from radioSphere.projectSphere import projectSphereMM as ps
+import numpy as np
+import matplotlib.pyplot as plt
+from math import log10
+
+xyz = np.array([[150,0,0],[160,3,3],[180,-6,6]])
+radii = np.array([1,1,1])
+atten_params = np.array([log10(2),log10(3),log10(4)])
+proj = ps(xyz,radii,atten_params,sourceDetectorDistMM=200)
+
+#xyztrac = np.array([[170,-3,-3]])
+#radiitrac = np.array([3])
+#projtrac = ps(xyztrac,radiitrac,sourceDetectorDistMM=200)
+
+#projfull = proj + 3*projtrac
+
+plt.imshow(proj)
+plt.colorbar()
+plt.show()
+
+'''
+def projectSphereMM(spheresPositionMM, radiiMM, ROIcentreMM=None, ROIradiusMM=None, sourceDetectorDistMM=100, pixelSizeMM=0.1, detectorResolution=[512,512], projector='C', transformationCentreMM=None, transformationMatrix=None, blur=None, displacementsMM=None):
+
+    This is the python wrapping function for the C++ projector, it gets projection geometry,
+    list of particle positions and radii, projected in the X direction.
+    The output is the crossed distance for each sphere in mm.
+
+    Please refer to the figures/projectedCoords_v2 for geometry
+
+    In order to allow projections from diffferent angles, an XYZ centre and a transformation matrix can be provided,
+    which will be applied to the particle positions.
+
+    Parameters
+    ----------
+        spheresPositionMM : Nx3 2D numpy array of floats
+            xyz positions of spheres in mm, with the origin being the middle of the detector
+
+        radiiMM : 1D numpy array of floats
+            Particle radii for projection
+
+        ROIcentreMM : 3-component vector of floats, optional
+            Particle position for ROI
+            Default = Disactivated (None)
+
+        ROIradiusMM : float, optional
+            Particle radius for ROI
+            Default = Disactivated (None)
+
+        sourceDetectorDistMM : float, optional
+            Distance between x-ray source and middle of detector.
+            Set as numpy.inf for parallel projection
+            Default = 100
+
+        pixelSizeMM : float, optional
+            Pixel size on detector in mm
+            Default = 0.1
+
+        detectorResolution : 2-component list of ints, optional
+            Number of pixels rows, columns of detector
+            Default = [512,512]
+
+        projector : string, optional
+            Algorithm for the projector (leave this alone for now)
+            Default = 'C'
+
+        transformationCentreMM : 3-component vector
+            XYZ centre for a transformation
+            Default = None
+
+        transformationMatrix : 3x3 numpy array
+            XYZ transformation matrix to apply to coordinates
+            Default = None
+
+        blur : float, optional
+            sigma of blur to pass to scipy.ndimage.gaussian_filter to
+            blur the radiograph at the end of everything
+
+    Returns
+    -------
+        projectionMM : 2D numpy array of floats
+            Radiography containing the total crossed distance through the spheres distance in mm for each beam path.
+            To turn this into a radiography, the distances should be put into a calibrated Beer-Lambert law
+'''
diff --git a/tests/__init__.pyc b/tests/__init__.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..956a399022645dab9df1ae67ca0f23bab51e3dfd
GIT binary patch
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z{`>s9FWJMx!`*oQR21-MBRQ9{X(3`|DX0P70TAFrfgOMyf*rw5DRqIadL-%V>{?3Q
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diff --git a/tests/test_cleaner.py b/tests/test_cleaner.py
index c2e145e..b9793b1 100644
--- a/tests/test_cleaner.py
+++ b/tests/test_cleaner.py
@@ -49,7 +49,7 @@ positionsXYZmmTrue = numpy.array([
     [-1, 1, 1],
     [ 0, 1, 1],
     [ 1, 1, 1],
-],dtype=numpy.float)
+],dtype=float)
 
 positionsXYZmmTrue[:,0] += sourceObjectDistMM
 radiiMM = radiusMM*numpy.ones(len(positionsXYZmmTrue))
diff --git a/tools/DEM/nddem.py b/tools/DEM/nddem.py
index 01f7bc1..f4f72a2 100644
--- a/tools/DEM/nddem.py
+++ b/tools/DEM/nddem.py
@@ -2,7 +2,7 @@ import os, glob
 import numpy
 
 # _default_NDDEM_path = '~/Dropbox/Research/Codes/DEM_ND/Samples/radioSphere'
-_default_NDDEM_path = '~/code/NDDEM/Samples/radioSphere'
+_default_NDDEM_path = '~/Desktop/radioSphere/NDDEM'
 
 def write_infile(xyzMM,radiiMM,nt,dumpfolder=_default_NDDEM_path):
 
diff --git a/tools/__pycache__/projectSphere.cpython-38.pyc b/tools/__pycache__/projectSphere.cpython-38.pyc
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HcmV?d00001

diff --git a/tools/calibrateAttenuation.py b/tools/calibrateAttenuation.py
index 670f682..4ef6511 100644
--- a/tools/calibrateAttenuation.py
+++ b/tools/calibrateAttenuation.py
@@ -130,11 +130,11 @@ def generateFitParameters(calibSphereLog,pixelSizeMM,sourceDetectorDistMM,source
     return poptN
 
 if __name__ == '__main__':
-    plt.style.use('./tools/radioSphere.mplstyle')
+    plt.style.use('../tools/radioSphere.mplstyle')
 
-    calibSpherePath = './data/2021-02-09-EddyBillesNanoBis/7mm-AVG64.tif'
-    backgroundPath = './data/2021-02-09-EddyBillesNanoBis/I0-AVG64.tif'
-    outputPath = "./cache/fit-log-linear.npy"
+    calibSpherePath = '../data/2021-02-09-EddyBillesNanoBis/7mm-AVG64.tif'
+    backgroundPath = '../data/2021-02-09-EddyBillesNanoBis/I0-AVG64.tif'
+    outputPath = "../cache/fit-log-linear.npy"
 
     # Load images
     calibSphere = tifffile.imread(calibSpherePath).astype(float) / tifffile.imread(backgroundPath).astype(float)
diff --git a/tools/projectSphere.py b/tools/projectSphere.py
index 1a3d6ea..e7b9680 100644
--- a/tools/projectSphere.py
+++ b/tools/projectSphere.py
@@ -135,7 +135,7 @@ def singleSphereToDetectorPixelRange(spherePositionMM, radiusMM, radiusMargin=0.
     return numpy.array([[minRC[0], maxRC[0]], [minRC[1], maxRC[1]]])
 
 
-def projectSphereMM(spheresPositionMM, radiiMM, ROIcentreMM=None, ROIradiusMM=None, sourceDetectorDistMM=100, pixelSizeMM=0.1, detectorResolution=[512,512], projector='C', transformationCentreMM=None, transformationMatrix=None, blur=None, displacementsMM=None):
+def projectSphereMM(spheresPositionMM, radiiMM, atten_params, ROIcentreMM=None, ROIradiusMM=None, sourceDetectorDistMM=100, pixelSizeMM=0.1, detectorResolution=[512,512], projector='C', transformationCentreMM=None, transformationMatrix=None, blur=None, displacementsMM=None):
     """
     This is the python wrapping function for the C++ projector, it gets projection geometry,
     list of particle positions and radii, projected in the X direction.
@@ -262,6 +262,7 @@ def projectSphereMM(spheresPositionMM, radiiMM, ROIcentreMM=None, ROIradiusMM=No
                 # This C++ function fill in the passed projectionXmm array
                 projectSphereC3.project_func(numpy.array([sourceDetectorDistMM], dtype='<f4'),
                                              radiiMM.astype('<f4'),
+                                             atten_params.astype('<f4'),
                                              numpy.linspace(-pixelSizeMM*detectorResolution[0]/2.,
                                                              pixelSizeMM*detectorResolution[0]/2.,
                                                              detectorResolution[0]).astype('<f4'),
@@ -269,7 +270,7 @@ def projectSphereMM(spheresPositionMM, radiiMM, ROIcentreMM=None, ROIradiusMM=No
                                                              pixelSizeMM*detectorResolution[1]/2.,
                                                              detectorResolution[1]).astype('<f4'),
                                              spheresPositionMM.astype('<f4'),
-                                             projectionXmm)
+                                             projectionXmm) #mine
             else:
                 delta_blur = pixelSizeMM/4. # increment in MM between sphere centres to evaluate projection at
                 n_delta = numpy.ceil(abs(displacementsMM)/delta_blur) // 2 * 2 + 1 # round up to next odd number
diff --git a/tools/projectSphereC3.cython/_projectSphereC.cpp b/tools/projectSphereC3.cython/_projectSphereC.cpp
index f91d0cc..0e2ad1d 100644
--- a/tools/projectSphereC3.cython/_projectSphereC.cpp
+++ b/tools/projectSphereC3.cython/_projectSphereC.cpp
@@ -1,4 +1,4 @@
-/* Generated by Cython 0.29.24 */
+/* Generated by Cython 0.29.32 */
 
 #ifndef PY_SSIZE_T_CLEAN
 #define PY_SSIZE_T_CLEAN
@@ -9,9 +9,9 @@
 #elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
     #error Cython requires Python 2.6+ or Python 3.3+.
 #else
-#define CYTHON_ABI "0_29_24"
-#define CYTHON_HEX_VERSION 0x001D18F0
-#define CYTHON_FUTURE_DIVISION 0
+#define CYTHON_ABI "0_29_32"
+#define CYTHON_HEX_VERSION 0x001D20F0
+#define CYTHON_FUTURE_DIVISION 1
 #include <stddef.h>
 #ifndef offsetof
   #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
@@ -49,6 +49,7 @@
   #define CYTHON_COMPILING_IN_PYPY 1
   #define CYTHON_COMPILING_IN_PYSTON 0
   #define CYTHON_COMPILING_IN_CPYTHON 0
+  #define CYTHON_COMPILING_IN_NOGIL 0
   #undef CYTHON_USE_TYPE_SLOTS
   #define CYTHON_USE_TYPE_SLOTS 0
   #undef CYTHON_USE_PYTYPE_LOOKUP
@@ -85,10 +86,14 @@
   #define CYTHON_USE_DICT_VERSIONS 0
   #undef CYTHON_USE_EXC_INFO_STACK
   #define CYTHON_USE_EXC_INFO_STACK 0
+  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
+    #define CYTHON_UPDATE_DESCRIPTOR_DOC (PYPY_VERSION_HEX >= 0x07030900)
+  #endif
 #elif defined(PYSTON_VERSION)
   #define CYTHON_COMPILING_IN_PYPY 0
   #define CYTHON_COMPILING_IN_PYSTON 1
   #define CYTHON_COMPILING_IN_CPYTHON 0
+  #define CYTHON_COMPILING_IN_NOGIL 0
   #ifndef CYTHON_USE_TYPE_SLOTS
     #define CYTHON_USE_TYPE_SLOTS 1
   #endif
@@ -126,10 +131,59 @@
   #define CYTHON_USE_DICT_VERSIONS 0
   #undef CYTHON_USE_EXC_INFO_STACK
   #define CYTHON_USE_EXC_INFO_STACK 0
+  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
+    #define CYTHON_UPDATE_DESCRIPTOR_DOC 0
+  #endif
+#elif defined(PY_NOGIL)
+  #define CYTHON_COMPILING_IN_PYPY 0
+  #define CYTHON_COMPILING_IN_PYSTON 0
+  #define CYTHON_COMPILING_IN_CPYTHON 0
+  #define CYTHON_COMPILING_IN_NOGIL 1
+  #ifndef CYTHON_USE_TYPE_SLOTS
+    #define CYTHON_USE_TYPE_SLOTS 1
+  #endif
+  #undef CYTHON_USE_PYTYPE_LOOKUP
+  #define CYTHON_USE_PYTYPE_LOOKUP 0
+  #ifndef CYTHON_USE_ASYNC_SLOTS
+    #define CYTHON_USE_ASYNC_SLOTS 1
+  #endif
+  #undef CYTHON_USE_PYLIST_INTERNALS
+  #define CYTHON_USE_PYLIST_INTERNALS 0
+  #ifndef CYTHON_USE_UNICODE_INTERNALS
+    #define CYTHON_USE_UNICODE_INTERNALS 1
+  #endif
+  #undef CYTHON_USE_UNICODE_WRITER
+  #define CYTHON_USE_UNICODE_WRITER 0
+  #undef CYTHON_USE_PYLONG_INTERNALS
+  #define CYTHON_USE_PYLONG_INTERNALS 0
+  #ifndef CYTHON_AVOID_BORROWED_REFS
+    #define CYTHON_AVOID_BORROWED_REFS 0
+  #endif
+  #ifndef CYTHON_ASSUME_SAFE_MACROS
+    #define CYTHON_ASSUME_SAFE_MACROS 1
+  #endif
+  #ifndef CYTHON_UNPACK_METHODS
+    #define CYTHON_UNPACK_METHODS 1
+  #endif
+  #undef CYTHON_FAST_THREAD_STATE
+  #define CYTHON_FAST_THREAD_STATE 0
+  #undef CYTHON_FAST_PYCALL
+  #define CYTHON_FAST_PYCALL 0
+  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
+    #define CYTHON_PEP489_MULTI_PHASE_INIT 1
+  #endif
+  #ifndef CYTHON_USE_TP_FINALIZE
+    #define CYTHON_USE_TP_FINALIZE 1
+  #endif
+  #undef CYTHON_USE_DICT_VERSIONS
+  #define CYTHON_USE_DICT_VERSIONS 0
+  #undef CYTHON_USE_EXC_INFO_STACK
+  #define CYTHON_USE_EXC_INFO_STACK 0
 #else
   #define CYTHON_COMPILING_IN_PYPY 0
   #define CYTHON_COMPILING_IN_PYSTON 0
   #define CYTHON_COMPILING_IN_CPYTHON 1
+  #define CYTHON_COMPILING_IN_NOGIL 0
   #ifndef CYTHON_USE_TYPE_SLOTS
     #define CYTHON_USE_TYPE_SLOTS 1
   #endif
@@ -157,7 +211,7 @@
   #ifndef CYTHON_USE_UNICODE_INTERNALS
     #define CYTHON_USE_UNICODE_INTERNALS 1
   #endif
-  #if PY_VERSION_HEX < 0x030300F0
+  #if PY_VERSION_HEX < 0x030300F0 || PY_VERSION_HEX >= 0x030B00A2
     #undef CYTHON_USE_UNICODE_WRITER
     #define CYTHON_USE_UNICODE_WRITER 0
   #elif !defined(CYTHON_USE_UNICODE_WRITER)
@@ -172,11 +226,14 @@
   #ifndef CYTHON_UNPACK_METHODS
     #define CYTHON_UNPACK_METHODS 1
   #endif
-  #ifndef CYTHON_FAST_THREAD_STATE
+  #if PY_VERSION_HEX >= 0x030B00A4
+    #undef CYTHON_FAST_THREAD_STATE
+    #define CYTHON_FAST_THREAD_STATE 0
+  #elif !defined(CYTHON_FAST_THREAD_STATE)
     #define CYTHON_FAST_THREAD_STATE 1
   #endif
   #ifndef CYTHON_FAST_PYCALL
-    #define CYTHON_FAST_PYCALL 1
+    #define CYTHON_FAST_PYCALL (PY_VERSION_HEX < 0x030A0000)
   #endif
   #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
     #define CYTHON_PEP489_MULTI_PHASE_INIT (PY_VERSION_HEX >= 0x03050000)
@@ -187,15 +244,23 @@
   #ifndef CYTHON_USE_DICT_VERSIONS
     #define CYTHON_USE_DICT_VERSIONS (PY_VERSION_HEX >= 0x030600B1)
   #endif
-  #ifndef CYTHON_USE_EXC_INFO_STACK
+  #if PY_VERSION_HEX >= 0x030B00A4
+    #undef CYTHON_USE_EXC_INFO_STACK
+    #define CYTHON_USE_EXC_INFO_STACK 0
+  #elif !defined(CYTHON_USE_EXC_INFO_STACK)
     #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3)
   #endif
+  #ifndef CYTHON_UPDATE_DESCRIPTOR_DOC
+    #define CYTHON_UPDATE_DESCRIPTOR_DOC 1
+  #endif
 #endif
 #if !defined(CYTHON_FAST_PYCCALL)
 #define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
 #endif
 #if CYTHON_USE_PYLONG_INTERNALS
-  #include "longintrepr.h"
+  #if PY_MAJOR_VERSION < 3
+    #include "longintrepr.h"
+  #endif
   #undef SHIFT
   #undef BASE
   #undef MASK
@@ -326,9 +391,68 @@ class __Pyx_FakeReference {
   #define __Pyx_DefaultClassType PyClass_Type
 #else
   #define __Pyx_BUILTIN_MODULE_NAME "builtins"
-#if PY_VERSION_HEX >= 0x030800A4 && PY_VERSION_HEX < 0x030800B2
-  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
-          PyCode_New(a, 0, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
+  #define __Pyx_DefaultClassType PyType_Type
+#if PY_VERSION_HEX >= 0x030B00A1
+    static CYTHON_INLINE PyCodeObject* __Pyx_PyCode_New(int a, int k, int l, int s, int f,
+                                                    PyObject *code, PyObject *c, PyObject* n, PyObject *v,
+                                                    PyObject *fv, PyObject *cell, PyObject* fn,
+                                                    PyObject *name, int fline, PyObject *lnos) {
+        PyObject *kwds=NULL, *argcount=NULL, *posonlyargcount=NULL, *kwonlyargcount=NULL;
+        PyObject *nlocals=NULL, *stacksize=NULL, *flags=NULL, *replace=NULL, *call_result=NULL, *empty=NULL;
+        const char *fn_cstr=NULL;
+        const char *name_cstr=NULL;
+        PyCodeObject* co=NULL;
+        PyObject *type, *value, *traceback;
+        PyErr_Fetch(&type, &value, &traceback);
+        if (!(kwds=PyDict_New())) goto end;
+        if (!(argcount=PyLong_FromLong(a))) goto end;
+        if (PyDict_SetItemString(kwds, "co_argcount", argcount) != 0) goto end;
+        if (!(posonlyargcount=PyLong_FromLong(0))) goto end;
+        if (PyDict_SetItemString(kwds, "co_posonlyargcount", posonlyargcount) != 0) goto end;
+        if (!(kwonlyargcount=PyLong_FromLong(k))) goto end;
+        if (PyDict_SetItemString(kwds, "co_kwonlyargcount", kwonlyargcount) != 0) goto end;
+        if (!(nlocals=PyLong_FromLong(l))) goto end;
+        if (PyDict_SetItemString(kwds, "co_nlocals", nlocals) != 0) goto end;
+        if (!(stacksize=PyLong_FromLong(s))) goto end;
+        if (PyDict_SetItemString(kwds, "co_stacksize", stacksize) != 0) goto end;
+        if (!(flags=PyLong_FromLong(f))) goto end;
+        if (PyDict_SetItemString(kwds, "co_flags", flags) != 0) goto end;
+        if (PyDict_SetItemString(kwds, "co_code", code) != 0) goto end;
+        if (PyDict_SetItemString(kwds, "co_consts", c) != 0) goto end;
+        if (PyDict_SetItemString(kwds, "co_names", n) != 0) goto end;
+        if (PyDict_SetItemString(kwds, "co_varnames", v) != 0) goto end;
+        if (PyDict_SetItemString(kwds, "co_freevars", fv) != 0) goto end;
+        if (PyDict_SetItemString(kwds, "co_cellvars", cell) != 0) goto end;
+        if (PyDict_SetItemString(kwds, "co_linetable", lnos) != 0) goto end;
+        if (!(fn_cstr=PyUnicode_AsUTF8AndSize(fn, NULL))) goto end;
+        if (!(name_cstr=PyUnicode_AsUTF8AndSize(name, NULL))) goto end;
+        if (!(co = PyCode_NewEmpty(fn_cstr, name_cstr, fline))) goto end;
+        if (!(replace = PyObject_GetAttrString((PyObject*)co, "replace"))) goto cleanup_code_too;
+        if (!(empty = PyTuple_New(0))) goto cleanup_code_too; // unfortunately __pyx_empty_tuple isn't available here
+        if (!(call_result = PyObject_Call(replace, empty, kwds))) goto cleanup_code_too;
+        Py_XDECREF((PyObject*)co);
+        co = (PyCodeObject*)call_result;
+        call_result = NULL;
+        if (0) {
+            cleanup_code_too:
+            Py_XDECREF((PyObject*)co);
+            co = NULL;
+        }
+        end:
+        Py_XDECREF(kwds);
+        Py_XDECREF(argcount);
+        Py_XDECREF(posonlyargcount);
+        Py_XDECREF(kwonlyargcount);
+        Py_XDECREF(nlocals);
+        Py_XDECREF(stacksize);
+        Py_XDECREF(replace);
+        Py_XDECREF(call_result);
+        Py_XDECREF(empty);
+        if (type) {
+            PyErr_Restore(type, value, traceback);
+        }
+        return co;
+    }
 #else
   #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
           PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
@@ -566,10 +690,10 @@ static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
 #if PY_VERSION_HEX < 0x030200A4
   typedef long Py_hash_t;
   #define __Pyx_PyInt_FromHash_t PyInt_FromLong
-  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
+  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsHash_t
 #else
   #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
-  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
+  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsSsize_t
 #endif
 #if PY_MAJOR_VERSION >= 3
   #define __Pyx_PyMethod_New(func, self, klass) ((self) ? ((void)(klass), PyMethod_New(func, self)) : __Pyx_NewRef(func))
@@ -594,8 +718,10 @@ static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
     } __Pyx_PyAsyncMethodsStruct;
 #endif
 
-#if defined(WIN32) || defined(MS_WINDOWS)
-  #define _USE_MATH_DEFINES
+#if defined(_WIN32) || defined(WIN32) || defined(MS_WINDOWS)
+  #if !defined(_USE_MATH_DEFINES)
+    #define _USE_MATH_DEFINES
+  #endif
 #endif
 #include <math.h>
 #ifdef NAN
@@ -736,6 +862,7 @@ static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
     (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
 static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
 static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
+static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
 #if CYTHON_ASSUME_SAFE_MACROS
 #define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
 #else
@@ -911,7 +1038,7 @@ typedef struct {
 } __Pyx_BufFmt_Context;
 
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":690
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":689
  * # in Cython to enable them only on the right systems.
  * 
  * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
@@ -920,7 +1047,7 @@ typedef struct {
  */
 typedef npy_int8 __pyx_t_5numpy_int8_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":691
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":690
  * 
  * ctypedef npy_int8       int8_t
  * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
@@ -929,7 +1056,7 @@ typedef npy_int8 __pyx_t_5numpy_int8_t;
  */
 typedef npy_int16 __pyx_t_5numpy_int16_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":692
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":691
  * ctypedef npy_int8       int8_t
  * ctypedef npy_int16      int16_t
  * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
@@ -938,7 +1065,7 @@ typedef npy_int16 __pyx_t_5numpy_int16_t;
  */
 typedef npy_int32 __pyx_t_5numpy_int32_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":693
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":692
  * ctypedef npy_int16      int16_t
  * ctypedef npy_int32      int32_t
  * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
@@ -947,7 +1074,7 @@ typedef npy_int32 __pyx_t_5numpy_int32_t;
  */
 typedef npy_int64 __pyx_t_5numpy_int64_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":697
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":696
  * #ctypedef npy_int128     int128_t
  * 
  * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
@@ -956,7 +1083,7 @@ typedef npy_int64 __pyx_t_5numpy_int64_t;
  */
 typedef npy_uint8 __pyx_t_5numpy_uint8_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":698
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":697
  * 
  * ctypedef npy_uint8      uint8_t
  * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
@@ -965,7 +1092,7 @@ typedef npy_uint8 __pyx_t_5numpy_uint8_t;
  */
 typedef npy_uint16 __pyx_t_5numpy_uint16_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":699
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":698
  * ctypedef npy_uint8      uint8_t
  * ctypedef npy_uint16     uint16_t
  * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
@@ -974,7 +1101,7 @@ typedef npy_uint16 __pyx_t_5numpy_uint16_t;
  */
 typedef npy_uint32 __pyx_t_5numpy_uint32_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":700
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":699
  * ctypedef npy_uint16     uint16_t
  * ctypedef npy_uint32     uint32_t
  * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
@@ -983,7 +1110,7 @@ typedef npy_uint32 __pyx_t_5numpy_uint32_t;
  */
 typedef npy_uint64 __pyx_t_5numpy_uint64_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":704
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":703
  * #ctypedef npy_uint128    uint128_t
  * 
  * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
@@ -992,7 +1119,7 @@ typedef npy_uint64 __pyx_t_5numpy_uint64_t;
  */
 typedef npy_float32 __pyx_t_5numpy_float32_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":705
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":704
  * 
  * ctypedef npy_float32    float32_t
  * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
@@ -1001,7 +1128,7 @@ typedef npy_float32 __pyx_t_5numpy_float32_t;
  */
 typedef npy_float64 __pyx_t_5numpy_float64_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":714
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":713
  * # The int types are mapped a bit surprising --
  * # numpy.int corresponds to 'l' and numpy.long to 'q'
  * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
@@ -1010,7 +1137,7 @@ typedef npy_float64 __pyx_t_5numpy_float64_t;
  */
 typedef npy_long __pyx_t_5numpy_int_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":715
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":714
  * # numpy.int corresponds to 'l' and numpy.long to 'q'
  * ctypedef npy_long       int_t
  * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
@@ -1019,7 +1146,7 @@ typedef npy_long __pyx_t_5numpy_int_t;
  */
 typedef npy_longlong __pyx_t_5numpy_long_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":716
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":715
  * ctypedef npy_long       int_t
  * ctypedef npy_longlong   long_t
  * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
@@ -1028,7 +1155,7 @@ typedef npy_longlong __pyx_t_5numpy_long_t;
  */
 typedef npy_longlong __pyx_t_5numpy_longlong_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":718
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":717
  * ctypedef npy_longlong   longlong_t
  * 
  * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
@@ -1037,7 +1164,7 @@ typedef npy_longlong __pyx_t_5numpy_longlong_t;
  */
 typedef npy_ulong __pyx_t_5numpy_uint_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":719
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":718
  * 
  * ctypedef npy_ulong      uint_t
  * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
@@ -1046,7 +1173,7 @@ typedef npy_ulong __pyx_t_5numpy_uint_t;
  */
 typedef npy_ulonglong __pyx_t_5numpy_ulong_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":720
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":719
  * ctypedef npy_ulong      uint_t
  * ctypedef npy_ulonglong  ulong_t
  * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
@@ -1055,7 +1182,7 @@ typedef npy_ulonglong __pyx_t_5numpy_ulong_t;
  */
 typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":722
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":721
  * ctypedef npy_ulonglong  ulonglong_t
  * 
  * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
@@ -1064,7 +1191,7 @@ typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;
  */
 typedef npy_intp __pyx_t_5numpy_intp_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":723
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":722
  * 
  * ctypedef npy_intp       intp_t
  * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
@@ -1073,7 +1200,7 @@ typedef npy_intp __pyx_t_5numpy_intp_t;
  */
 typedef npy_uintp __pyx_t_5numpy_uintp_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":725
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":724
  * ctypedef npy_uintp      uintp_t
  * 
  * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
@@ -1082,7 +1209,7 @@ typedef npy_uintp __pyx_t_5numpy_uintp_t;
  */
 typedef npy_double __pyx_t_5numpy_float_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":726
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":725
  * 
  * ctypedef npy_double     float_t
  * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
@@ -1091,7 +1218,7 @@ typedef npy_double __pyx_t_5numpy_float_t;
  */
 typedef npy_double __pyx_t_5numpy_double_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":727
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":726
  * ctypedef npy_double     float_t
  * ctypedef npy_double     double_t
  * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
@@ -1126,7 +1253,7 @@ static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(do
 
 /*--- Type declarations ---*/
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":729
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":728
  * ctypedef npy_longdouble longdouble_t
  * 
  * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
@@ -1135,7 +1262,7 @@ static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(do
  */
 typedef npy_cfloat __pyx_t_5numpy_cfloat_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":730
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":729
  * 
  * ctypedef npy_cfloat      cfloat_t
  * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
@@ -1144,7 +1271,7 @@ typedef npy_cfloat __pyx_t_5numpy_cfloat_t;
  */
 typedef npy_cdouble __pyx_t_5numpy_cdouble_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":731
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":730
  * ctypedef npy_cfloat      cfloat_t
  * ctypedef npy_cdouble     cdouble_t
  * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
@@ -1153,7 +1280,7 @@ typedef npy_cdouble __pyx_t_5numpy_cdouble_t;
  */
 typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;
 
-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":733
+/* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":732
  * ctypedef npy_clongdouble clongdouble_t
  * 
  * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
@@ -1628,6 +1755,7 @@ static const char __pyx_k_detector[] = "detector";
 static const char __pyx_k_detVertPos[] = "detVertPos";
 static const char __pyx_k_ImportError[] = "ImportError";
 static const char __pyx_k_detHorizPos[] = "detHorizPos";
+static const char __pyx_k_atten_params[] = "atten_params";
 static const char __pyx_k_project_func[] = "project_func";
 static const char __pyx_k_projectSphereC3[] = "projectSphereC3";
 static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
@@ -1635,14 +1763,15 @@ static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multia
 static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";
 static const char __pyx_k_tools_projectSphereC3_cython__pr[] = "tools/projectSphereC3.cython/_projectSphereC.pyx";
 static PyObject *__pyx_n_s_ImportError;
+static PyObject *__pyx_n_s_atten_params;
 static PyObject *__pyx_n_s_cline_in_traceback;
 static PyObject *__pyx_n_s_detHorizPos;
 static PyObject *__pyx_n_s_detVertPos;
 static PyObject *__pyx_n_s_detector;
 static PyObject *__pyx_n_s_main;
 static PyObject *__pyx_n_s_name;
-static PyObject *__pyx_kp_s_numpy_core_multiarray_failed_to;
-static PyObject *__pyx_kp_s_numpy_core_umath_failed_to_impor;
+static PyObject *__pyx_kp_u_numpy_core_multiarray_failed_to;
+static PyObject *__pyx_kp_u_numpy_core_umath_failed_to_impor;
 static PyObject *__pyx_n_s_projectSphereC3;
 static PyObject *__pyx_n_s_project_func;
 static PyObject *__pyx_n_s_radii;
@@ -1650,19 +1779,19 @@ static PyObject *__pyx_n_s_sdd;
 static PyObject *__pyx_n_s_spheres;
 static PyObject *__pyx_n_s_test;
 static PyObject *__pyx_kp_s_tools_projectSphereC3_cython__pr;
-static PyObject *__pyx_pf_15projectSphereC3_project_func(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_sdd, PyArrayObject *__pyx_v_radii, PyArrayObject *__pyx_v_detVertPos, PyArrayObject *__pyx_v_detHorizPos, PyArrayObject *__pyx_v_spheres, PyArrayObject *__pyx_v_detector); /* proto */
+static PyObject *__pyx_pf_15projectSphereC3_project_func(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_sdd, PyArrayObject *__pyx_v_radii, PyArrayObject *__pyx_v_atten_params, PyArrayObject *__pyx_v_detVertPos, PyArrayObject *__pyx_v_detHorizPos, PyArrayObject *__pyx_v_spheres, PyArrayObject *__pyx_v_detector); /* proto */
 static PyObject *__pyx_tuple_;
 static PyObject *__pyx_tuple__2;
 static PyObject *__pyx_tuple__3;
 static PyObject *__pyx_codeobj__4;
 /* Late includes */
 
-/* "tools/projectSphereC3.cython/_projectSphereC.pyx":22
+/* "tools/projectSphereC3.cython/_projectSphereC.pyx":23
  * 
  * # create the wrapper code, with numpy type annotations
  * def project_func(               np.ndarray[ float,  ndim=1, mode="c" ]  sdd         not None,             # <<<<<<<<<<<<<<
  *                                 np.ndarray[ float,  ndim=1, mode="c" ]  radii       not None,
- *                                 np.ndarray[ float,  ndim=1, mode="c" ]  detVertPos  not None,
+ *                                 np.ndarray[ float,  ndim=1, mode="c" ]  atten_params not None,
  */
 
 /* Python wrapper */
@@ -1671,6 +1800,7 @@ static PyMethodDef __pyx_mdef_15projectSphereC3_1project_func = {"project_func",
 static PyObject *__pyx_pw_15projectSphereC3_1project_func(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
   PyArrayObject *__pyx_v_sdd = 0;
   PyArrayObject *__pyx_v_radii = 0;
+  PyArrayObject *__pyx_v_atten_params = 0;
   PyArrayObject *__pyx_v_detVertPos = 0;
   PyArrayObject *__pyx_v_detHorizPos = 0;
   PyArrayObject *__pyx_v_spheres = 0;
@@ -1682,12 +1812,14 @@ static PyObject *__pyx_pw_15projectSphereC3_1project_func(PyObject *__pyx_self,
   __Pyx_RefNannyDeclarations
   __Pyx_RefNannySetupContext("project_func (wrapper)", 0);
   {
-    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_sdd,&__pyx_n_s_radii,&__pyx_n_s_detVertPos,&__pyx_n_s_detHorizPos,&__pyx_n_s_spheres,&__pyx_n_s_detector,0};
-    PyObject* values[6] = {0,0,0,0,0,0};
+    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_sdd,&__pyx_n_s_radii,&__pyx_n_s_atten_params,&__pyx_n_s_detVertPos,&__pyx_n_s_detHorizPos,&__pyx_n_s_spheres,&__pyx_n_s_detector,0};
+    PyObject* values[7] = {0,0,0,0,0,0,0};
     if (unlikely(__pyx_kwds)) {
       Py_ssize_t kw_args;
       const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
       switch (pos_args) {
+        case  7: values[6] = PyTuple_GET_ITEM(__pyx_args, 6);
+        CYTHON_FALLTHROUGH;
         case  6: values[5] = PyTuple_GET_ITEM(__pyx_args, 5);
         CYTHON_FALLTHROUGH;
         case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
@@ -1712,37 +1844,43 @@ static PyObject *__pyx_pw_15projectSphereC3_1project_func(PyObject *__pyx_self,
         case  1:
         if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_radii)) != 0)) kw_args--;
         else {
-          __Pyx_RaiseArgtupleInvalid("project_func", 1, 6, 6, 1); __PYX_ERR(0, 22, __pyx_L3_error)
+          __Pyx_RaiseArgtupleInvalid("project_func", 1, 7, 7, 1); __PYX_ERR(0, 23, __pyx_L3_error)
         }
         CYTHON_FALLTHROUGH;
         case  2:
-        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_detVertPos)) != 0)) kw_args--;
+        if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_atten_params)) != 0)) kw_args--;
         else {
-          __Pyx_RaiseArgtupleInvalid("project_func", 1, 6, 6, 2); __PYX_ERR(0, 22, __pyx_L3_error)
+          __Pyx_RaiseArgtupleInvalid("project_func", 1, 7, 7, 2); __PYX_ERR(0, 23, __pyx_L3_error)
         }
         CYTHON_FALLTHROUGH;
         case  3:
-        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_detHorizPos)) != 0)) kw_args--;
+        if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_detVertPos)) != 0)) kw_args--;
         else {
-          __Pyx_RaiseArgtupleInvalid("project_func", 1, 6, 6, 3); __PYX_ERR(0, 22, __pyx_L3_error)
+          __Pyx_RaiseArgtupleInvalid("project_func", 1, 7, 7, 3); __PYX_ERR(0, 23, __pyx_L3_error)
         }
         CYTHON_FALLTHROUGH;
         case  4:
-        if (likely((values[4] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_spheres)) != 0)) kw_args--;
+        if (likely((values[4] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_detHorizPos)) != 0)) kw_args--;
         else {
-          __Pyx_RaiseArgtupleInvalid("project_func", 1, 6, 6, 4); __PYX_ERR(0, 22, __pyx_L3_error)
+          __Pyx_RaiseArgtupleInvalid("project_func", 1, 7, 7, 4); __PYX_ERR(0, 23, __pyx_L3_error)
         }
         CYTHON_FALLTHROUGH;
         case  5:
-        if (likely((values[5] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_detector)) != 0)) kw_args--;
+        if (likely((values[5] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_spheres)) != 0)) kw_args--;
+        else {
+          __Pyx_RaiseArgtupleInvalid("project_func", 1, 7, 7, 5); __PYX_ERR(0, 23, __pyx_L3_error)
+        }
+        CYTHON_FALLTHROUGH;
+        case  6:
+        if (likely((values[6] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_detector)) != 0)) kw_args--;
         else {
-          __Pyx_RaiseArgtupleInvalid("project_func", 1, 6, 6, 5); __PYX_ERR(0, 22, __pyx_L3_error)
+          __Pyx_RaiseArgtupleInvalid("project_func", 1, 7, 7, 6); __PYX_ERR(0, 23, __pyx_L3_error)
         }
       }
       if (unlikely(kw_args > 0)) {
-        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "project_func") < 0)) __PYX_ERR(0, 22, __pyx_L3_error)
+        if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "project_func") < 0)) __PYX_ERR(0, 23, __pyx_L3_error)
       }
-    } else if (PyTuple_GET_SIZE(__pyx_args) != 6) {
+    } else if (PyTuple_GET_SIZE(__pyx_args) != 7) {
       goto __pyx_L5_argtuple_error;
     } else {
       values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
@@ -1751,29 +1889,32 @@ static PyObject *__pyx_pw_15projectSphereC3_1project_func(PyObject *__pyx_self,
       values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
       values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
       values[5] = PyTuple_GET_ITEM(__pyx_args, 5);
+      values[6] = PyTuple_GET_ITEM(__pyx_args, 6);
     }
     __pyx_v_sdd = ((PyArrayObject *)values[0]);
     __pyx_v_radii = ((PyArrayObject *)values[1]);
-    __pyx_v_detVertPos = ((PyArrayObject *)values[2]);
-    __pyx_v_detHorizPos = ((PyArrayObject *)values[3]);
-    __pyx_v_spheres = ((PyArrayObject *)values[4]);
-    __pyx_v_detector = ((PyArrayObject *)values[5]);
+    __pyx_v_atten_params = ((PyArrayObject *)values[2]);
+    __pyx_v_detVertPos = ((PyArrayObject *)values[3]);
+    __pyx_v_detHorizPos = ((PyArrayObject *)values[4]);
+    __pyx_v_spheres = ((PyArrayObject *)values[5]);
+    __pyx_v_detector = ((PyArrayObject *)values[6]);
   }
   goto __pyx_L4_argument_unpacking_done;
   __pyx_L5_argtuple_error:;
-  __Pyx_RaiseArgtupleInvalid("project_func", 1, 6, 6, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 22, __pyx_L3_error)
+  __Pyx_RaiseArgtupleInvalid("project_func", 1, 7, 7, PyTuple_GET_SIZE(__pyx_args)); __PYX_ERR(0, 23, __pyx_L3_error)
   __pyx_L3_error:;
   __Pyx_AddTraceback("projectSphereC3.project_func", __pyx_clineno, __pyx_lineno, __pyx_filename);
   __Pyx_RefNannyFinishContext();
   return NULL;
   __pyx_L4_argument_unpacking_done:;
-  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_sdd), __pyx_ptype_5numpy_ndarray, 0, "sdd", 0))) __PYX_ERR(0, 22, __pyx_L1_error)
-  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_radii), __pyx_ptype_5numpy_ndarray, 0, "radii", 0))) __PYX_ERR(0, 23, __pyx_L1_error)
-  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_detVertPos), __pyx_ptype_5numpy_ndarray, 0, "detVertPos", 0))) __PYX_ERR(0, 24, __pyx_L1_error)
-  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_detHorizPos), __pyx_ptype_5numpy_ndarray, 0, "detHorizPos", 0))) __PYX_ERR(0, 25, __pyx_L1_error)
-  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_spheres), __pyx_ptype_5numpy_ndarray, 0, "spheres", 0))) __PYX_ERR(0, 26, __pyx_L1_error)
-  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_detector), __pyx_ptype_5numpy_ndarray, 0, "detector", 0))) __PYX_ERR(0, 27, __pyx_L1_error)
-  __pyx_r = __pyx_pf_15projectSphereC3_project_func(__pyx_self, __pyx_v_sdd, __pyx_v_radii, __pyx_v_detVertPos, __pyx_v_detHorizPos, __pyx_v_spheres, __pyx_v_detector);
+  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_sdd), __pyx_ptype_5numpy_ndarray, 0, "sdd", 0))) __PYX_ERR(0, 23, __pyx_L1_error)
+  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_radii), __pyx_ptype_5numpy_ndarray, 0, "radii", 0))) __PYX_ERR(0, 24, __pyx_L1_error)
+  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_atten_params), __pyx_ptype_5numpy_ndarray, 0, "atten_params", 0))) __PYX_ERR(0, 25, __pyx_L1_error)
+  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_detVertPos), __pyx_ptype_5numpy_ndarray, 0, "detVertPos", 0))) __PYX_ERR(0, 26, __pyx_L1_error)
+  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_detHorizPos), __pyx_ptype_5numpy_ndarray, 0, "detHorizPos", 0))) __PYX_ERR(0, 27, __pyx_L1_error)
+  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_spheres), __pyx_ptype_5numpy_ndarray, 0, "spheres", 0))) __PYX_ERR(0, 28, __pyx_L1_error)
+  if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_detector), __pyx_ptype_5numpy_ndarray, 0, "detector", 0))) __PYX_ERR(0, 29, __pyx_L1_error)
+  __pyx_r = __pyx_pf_15projectSphereC3_project_func(__pyx_self, __pyx_v_sdd, __pyx_v_radii, __pyx_v_atten_params, __pyx_v_detVertPos, __pyx_v_detHorizPos, __pyx_v_spheres, __pyx_v_detector);
 
   /* function exit code */
   goto __pyx_L0;
@@ -1784,7 +1925,9 @@ static PyObject *__pyx_pw_15projectSphereC3_1project_func(PyObject *__pyx_self,
   return __pyx_r;
 }
 
-static PyObject *__pyx_pf_15projectSphereC3_project_func(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_sdd, PyArrayObject *__pyx_v_radii, PyArrayObject *__pyx_v_detVertPos, PyArrayObject *__pyx_v_detHorizPos, PyArrayObject *__pyx_v_spheres, PyArrayObject *__pyx_v_detector) {
+static PyObject *__pyx_pf_15projectSphereC3_project_func(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_sdd, PyArrayObject *__pyx_v_radii, PyArrayObject *__pyx_v_atten_params, PyArrayObject *__pyx_v_detVertPos, PyArrayObject *__pyx_v_detHorizPos, PyArrayObject *__pyx_v_spheres, PyArrayObject *__pyx_v_detector) {
+  __Pyx_LocalBuf_ND __pyx_pybuffernd_atten_params;
+  __Pyx_Buffer __pyx_pybuffer_atten_params;
   __Pyx_LocalBuf_ND __pyx_pybuffernd_detHorizPos;
   __Pyx_Buffer __pyx_pybuffer_detHorizPos;
   __Pyx_LocalBuf_ND __pyx_pybuffernd_detVertPos;
@@ -1811,6 +1954,10 @@ static PyObject *__pyx_pf_15projectSphereC3_project_func(CYTHON_UNUSED PyObject
   __pyx_pybuffer_radii.refcount = 0;
   __pyx_pybuffernd_radii.data = NULL;
   __pyx_pybuffernd_radii.rcbuffer = &__pyx_pybuffer_radii;
+  __pyx_pybuffer_atten_params.pybuffer.buf = NULL;
+  __pyx_pybuffer_atten_params.refcount = 0;
+  __pyx_pybuffernd_atten_params.data = NULL;
+  __pyx_pybuffernd_atten_params.rcbuffer = &__pyx_pybuffer_atten_params;
   __pyx_pybuffer_detVertPos.pybuffer.buf = NULL;
   __pyx_pybuffer_detVertPos.refcount = 0;
   __pyx_pybuffernd_detVertPos.data = NULL;
@@ -1829,50 +1976,55 @@ static PyObject *__pyx_pf_15projectSphereC3_project_func(CYTHON_UNUSED PyObject
   __pyx_pybuffernd_detector.rcbuffer = &__pyx_pybuffer_detector;
   {
     __Pyx_BufFmt_StackElem __pyx_stack[1];
-    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_sdd.rcbuffer->pybuffer, (PyObject*)__pyx_v_sdd, &__Pyx_TypeInfo_float, PyBUF_FORMAT| PyBUF_C_CONTIGUOUS, 1, 0, __pyx_stack) == -1)) __PYX_ERR(0, 22, __pyx_L1_error)
+    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_sdd.rcbuffer->pybuffer, (PyObject*)__pyx_v_sdd, &__Pyx_TypeInfo_float, PyBUF_FORMAT| PyBUF_C_CONTIGUOUS, 1, 0, __pyx_stack) == -1)) __PYX_ERR(0, 23, __pyx_L1_error)
   }
   __pyx_pybuffernd_sdd.diminfo[0].strides = __pyx_pybuffernd_sdd.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_sdd.diminfo[0].shape = __pyx_pybuffernd_sdd.rcbuffer->pybuffer.shape[0];
   {
     __Pyx_BufFmt_StackElem __pyx_stack[1];
-    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_radii.rcbuffer->pybuffer, (PyObject*)__pyx_v_radii, &__Pyx_TypeInfo_float, PyBUF_FORMAT| PyBUF_C_CONTIGUOUS, 1, 0, __pyx_stack) == -1)) __PYX_ERR(0, 22, __pyx_L1_error)
+    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_radii.rcbuffer->pybuffer, (PyObject*)__pyx_v_radii, &__Pyx_TypeInfo_float, PyBUF_FORMAT| PyBUF_C_CONTIGUOUS, 1, 0, __pyx_stack) == -1)) __PYX_ERR(0, 23, __pyx_L1_error)
   }
   __pyx_pybuffernd_radii.diminfo[0].strides = __pyx_pybuffernd_radii.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_radii.diminfo[0].shape = __pyx_pybuffernd_radii.rcbuffer->pybuffer.shape[0];
   {
     __Pyx_BufFmt_StackElem __pyx_stack[1];
-    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_detVertPos.rcbuffer->pybuffer, (PyObject*)__pyx_v_detVertPos, &__Pyx_TypeInfo_float, PyBUF_FORMAT| PyBUF_C_CONTIGUOUS, 1, 0, __pyx_stack) == -1)) __PYX_ERR(0, 22, __pyx_L1_error)
+    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_atten_params.rcbuffer->pybuffer, (PyObject*)__pyx_v_atten_params, &__Pyx_TypeInfo_float, PyBUF_FORMAT| PyBUF_C_CONTIGUOUS, 1, 0, __pyx_stack) == -1)) __PYX_ERR(0, 23, __pyx_L1_error)
+  }
+  __pyx_pybuffernd_atten_params.diminfo[0].strides = __pyx_pybuffernd_atten_params.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_atten_params.diminfo[0].shape = __pyx_pybuffernd_atten_params.rcbuffer->pybuffer.shape[0];
+  {
+    __Pyx_BufFmt_StackElem __pyx_stack[1];
+    if (unlikely(__Pyx_GetBufferAndValidate(&__pyx_pybuffernd_detVertPos.rcbuffer->pybuffer, (PyObject*)__pyx_v_detVertPos, &__Pyx_TypeInfo_float, PyBUF_FORMAT| PyBUF_C_CONTIGUOUS, 1, 0, __pyx_stack) == -1)) __PYX_ERR(0, 23, __pyx_L1_error)
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-  /* "tools/projectSphereC3.cython/_projectSphereC.pyx":22
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- *                                 np.ndarray[ float,  ndim=1, mode="c" ]  detVertPos  not None,
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-  /* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":929
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-      /* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":943
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-    /* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":948
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-  /* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":947
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-    /* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":954
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-  /* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":953
+  /* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":952
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-/* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":967
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-  /* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":967
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-  /* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":982
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-  /* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":1004
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-  /* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":1011
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-  /* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":1007
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-  /* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":1018
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-  /* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":1014
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-   if (!__pyx_ptype_5numpy_flexible) __PYX_ERR(1, 787, __pyx_L1_error)
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   __pyx_ptype_5numpy_character = __Pyx_ImportType(__pyx_t_1, "numpy", "character", sizeof(PyObject), __Pyx_ImportType_CheckSize_Warn);
-   if (!__pyx_ptype_5numpy_character) __PYX_ERR(1, 789, __pyx_L1_error)
+   if (!__pyx_ptype_5numpy_character) __PYX_ERR(1, 788, __pyx_L1_error)
   __pyx_ptype_5numpy_ufunc = __Pyx_ImportType(__pyx_t_1, "numpy", "ufunc", sizeof(PyUFuncObject), __Pyx_ImportType_CheckSize_Ignore);
-   if (!__pyx_ptype_5numpy_ufunc) __PYX_ERR(1, 827, __pyx_L1_error)
+   if (!__pyx_ptype_5numpy_ufunc) __PYX_ERR(1, 826, __pyx_L1_error)
   __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
   __Pyx_RefNannyFinishContext();
   return 0;
@@ -3371,16 +3526,16 @@ if (!__Pyx_RefNanny) {
  */
   __pyx_t_1 = __pyx_f_5numpy_import_array(); if (unlikely(__pyx_t_1 == ((int)-1))) __PYX_ERR(0, 8, __pyx_L1_error)
 
-  /* "tools/projectSphereC3.cython/_projectSphereC.pyx":22
+  /* "tools/projectSphereC3.cython/_projectSphereC.pyx":23
  * 
  * # create the wrapper code, with numpy type annotations
  * def project_func(               np.ndarray[ float,  ndim=1, mode="c" ]  sdd         not None,             # <<<<<<<<<<<<<<
  *                                 np.ndarray[ float,  ndim=1, mode="c" ]  radii       not None,
- *                                 np.ndarray[ float,  ndim=1, mode="c" ]  detVertPos  not None,
+ *                                 np.ndarray[ float,  ndim=1, mode="c" ]  atten_params not None,
  */
-  __pyx_t_2 = PyCFunction_NewEx(&__pyx_mdef_15projectSphereC3_1project_func, NULL, __pyx_n_s_projectSphereC3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 22, __pyx_L1_error)
+  __pyx_t_2 = PyCFunction_NewEx(&__pyx_mdef_15projectSphereC3_1project_func, NULL, __pyx_n_s_projectSphereC3); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 23, __pyx_L1_error)
   __Pyx_GOTREF(__pyx_t_2);
-  if (PyDict_SetItem(__pyx_d, __pyx_n_s_project_func, __pyx_t_2) < 0) __PYX_ERR(0, 22, __pyx_L1_error)
+  if (PyDict_SetItem(__pyx_d, __pyx_n_s_project_func, __pyx_t_2) < 0) __PYX_ERR(0, 23, __pyx_L1_error)
   __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
 
   /* "tools/projectSphereC3.cython/_projectSphereC.pyx":1
@@ -3393,7 +3548,7 @@ if (!__Pyx_RefNanny) {
   if (PyDict_SetItem(__pyx_d, __pyx_n_s_test, __pyx_t_2) < 0) __PYX_ERR(0, 1, __pyx_L1_error)
   __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
 
-  /* "../../../../opt/homebrew/Caskroom/miniconda/base/lib/python3.8/site-packages/numpy/__init__.pxd":1014
+  /* "../../.local/lib/python3.10/site-packages/numpy/__init__.pxd":1013
  * 
  * 
  * cdef inline NPY_DATETIMEUNIT get_datetime64_unit(object obj) nogil:             # <<<<<<<<<<<<<<
@@ -4671,7 +4826,7 @@ static int __Pyx_CLineForTraceback(CYTHON_NCP_UNUSED PyThreadState *tstate, int
     }
     if (!use_cline) {
         c_line = 0;
-        PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
+        (void) PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
     }
     else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
         c_line = 0;
@@ -4765,33 +4920,40 @@ static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
   #include "compile.h"
 #include "frameobject.h"
 #include "traceback.h"
+#if PY_VERSION_HEX >= 0x030b00a6
+  #ifndef Py_BUILD_CORE
+    #define Py_BUILD_CORE 1
+  #endif
+  #include "internal/pycore_frame.h"
+#endif
 static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
             const char *funcname, int c_line,
             int py_line, const char *filename) {
-    PyCodeObject *py_code = 0;
-    PyObject *py_srcfile = 0;
-    PyObject *py_funcname = 0;
+    PyCodeObject *py_code = NULL;
+    PyObject *py_funcname = NULL;
     #if PY_MAJOR_VERSION < 3
+    PyObject *py_srcfile = NULL;
     py_srcfile = PyString_FromString(filename);
-    #else
-    py_srcfile = PyUnicode_FromString(filename);
-    #endif
     if (!py_srcfile) goto bad;
+    #endif
     if (c_line) {
         #if PY_MAJOR_VERSION < 3
         py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
+        if (!py_funcname) goto bad;
         #else
         py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
+        if (!py_funcname) goto bad;
+        funcname = PyUnicode_AsUTF8(py_funcname);
+        if (!funcname) goto bad;
         #endif
     }
     else {
         #if PY_MAJOR_VERSION < 3
         py_funcname = PyString_FromString(funcname);
-        #else
-        py_funcname = PyUnicode_FromString(funcname);
+        if (!py_funcname) goto bad;
         #endif
     }
-    if (!py_funcname) goto bad;
+    #if PY_MAJOR_VERSION < 3
     py_code = __Pyx_PyCode_New(
         0,
         0,
@@ -4810,11 +4972,16 @@ static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
         __pyx_empty_bytes  /*PyObject *lnotab*/
     );
     Py_DECREF(py_srcfile);
-    Py_DECREF(py_funcname);
+    #else
+    py_code = PyCode_NewEmpty(filename, funcname, py_line);
+    #endif
+    Py_XDECREF(py_funcname);  // XDECREF since it's only set on Py3 if cline
     return py_code;
 bad:
-    Py_XDECREF(py_srcfile);
     Py_XDECREF(py_funcname);
+    #if PY_MAJOR_VERSION < 3
+    Py_XDECREF(py_srcfile);
+    #endif
     return NULL;
 }
 static void __Pyx_AddTraceback(const char *funcname, int c_line,
@@ -4822,14 +4989,24 @@ static void __Pyx_AddTraceback(const char *funcname, int c_line,
     PyCodeObject *py_code = 0;
     PyFrameObject *py_frame = 0;
     PyThreadState *tstate = __Pyx_PyThreadState_Current;
+    PyObject *ptype, *pvalue, *ptraceback;
     if (c_line) {
         c_line = __Pyx_CLineForTraceback(tstate, c_line);
     }
     py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
     if (!py_code) {
+        __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
         py_code = __Pyx_CreateCodeObjectForTraceback(
             funcname, c_line, py_line, filename);
-        if (!py_code) goto bad;
+        if (!py_code) {
+            /* If the code object creation fails, then we should clear the
+               fetched exception references and propagate the new exception */
+            Py_XDECREF(ptype);
+            Py_XDECREF(pvalue);
+            Py_XDECREF(ptraceback);
+            goto bad;
+        }
+        __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
         __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
     }
     py_frame = PyFrame_New(
@@ -5728,11 +5905,33 @@ static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObj
 
 /* CheckBinaryVersion */
   static int __Pyx_check_binary_version(void) {
-    char ctversion[4], rtversion[4];
-    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
-    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
-    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
+    char ctversion[5];
+    int same=1, i, found_dot;
+    const char* rt_from_call = Py_GetVersion();
+    PyOS_snprintf(ctversion, 5, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
+    found_dot = 0;
+    for (i = 0; i < 4; i++) {
+        if (!ctversion[i]) {
+            same = (rt_from_call[i] < '0' || rt_from_call[i] > '9');
+            break;
+        }
+        if (rt_from_call[i] != ctversion[i]) {
+            same = 0;
+            break;
+        }
+    }
+    if (!same) {
+        char rtversion[5] = {'\0'};
         char message[200];
+        for (i=0; i<4; ++i) {
+            if (rt_from_call[i] == '.') {
+                if (found_dot) break;
+                found_dot = 1;
+            } else if (rt_from_call[i] < '0' || rt_from_call[i] > '9') {
+                break;
+            }
+            rtversion[i] = rt_from_call[i];
+        }
         PyOS_snprintf(message, sizeof(message),
                       "compiletime version %s of module '%.100s' "
                       "does not match runtime version %s",
@@ -5990,6 +6189,23 @@ static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
   Py_DECREF(x);
   return ival;
 }
+static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) {
+  if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) {
+    return (Py_hash_t) __Pyx_PyIndex_AsSsize_t(o);
+#if PY_MAJOR_VERSION < 3
+  } else if (likely(PyInt_CheckExact(o))) {
+    return PyInt_AS_LONG(o);
+#endif
+  } else {
+    Py_ssize_t ival;
+    PyObject *x;
+    x = PyNumber_Index(o);
+    if (!x) return -1;
+    ival = PyInt_AsLong(x);
+    Py_DECREF(x);
+    return ival;
+  }
+}
 static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
   return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
 }
diff --git a/tools/projectSphereC3.cython/_projectSphereC.pyx b/tools/projectSphereC3.cython/_projectSphereC.pyx
index 713abda..c952363 100644
--- a/tools/projectSphereC3.cython/_projectSphereC.pyx
+++ b/tools/projectSphereC3.cython/_projectSphereC.pyx
@@ -10,26 +10,28 @@ np.import_array()
 # cdefine the signature of our c function
 cdef extern from "projectSphereC.hpp":
     void project( int nSdd,                     float * sddA,              
-                  int nRadii,                   float * radii,             
+                  int nRadii,                   float * radii,
+                  int values,                   float * atten_params,        
                   int detHeight2,               float * detVertPos,        
                   int detWidth2,                float * detHorizPos,       
                   int nSpheres,  int three,     float * spheres,           
-                  int detHeight, int detWidth,  float * detector )
+                  int detHeight, int detWidth,  float * detector)  #mine
                     
 
 
 # create the wrapper code, with numpy type annotations
 def project_func(               np.ndarray[ float,  ndim=1, mode="c" ]  sdd         not None,
                                 np.ndarray[ float,  ndim=1, mode="c" ]  radii       not None,
+                                np.ndarray[ float,  ndim=1, mode="c" ]  atten_params not None,
                                 np.ndarray[ float,  ndim=1, mode="c" ]  detVertPos  not None,
                                 np.ndarray[ float,  ndim=1, mode="c" ]  detHorizPos not None,
                                 np.ndarray[ float,  ndim=2, mode="c" ]  spheres     not None,
-                                np.ndarray[ float,  ndim=2, mode="c" ]  detector    not None ):
+                                np.ndarray[ float,  ndim=2, mode="c" ]  detector    not None):  #mine
   
     project( sdd.shape[0],                        <float*> np.PyArray_DATA(sdd),        
-             radii.shape[0],                      <float*> np.PyArray_DATA(radii),      
-             detVertPos.shape[0],                 <float*> np.PyArray_DATA(detVertPos), 
+             radii.shape[0],                      <float*> np.PyArray_DATA(radii),
+             atten_params.shape[0],               <float*> np.PyArray_DATA(atten_params),
+             detVertPos.shape[0],                 <float*> np.PyArray_DATA(detVertPos),
              detHorizPos.shape[0],                <float*> np.PyArray_DATA(detHorizPos),
-             spheres.shape[0],  spheres.shape[1], <float*> np.PyArray_DATA(spheres),    
-             detector.shape[0], detector.shape[1],<float*> np.PyArray_DATA(detector)   )
-    
+             spheres.shape[0],  spheres.shape[1], <float*> np.PyArray_DATA(spheres),
+             detector.shape[0], detector.shape[1],<float*> np.PyArray_DATA(detector))    #mine
diff --git a/tools/projectSphereC3.cython/projectSphereC.cpp b/tools/projectSphereC3.cython/projectSphereC.cpp
index eedb30c..f5bd8e7 100644
--- a/tools/projectSphereC3.cython/projectSphereC.cpp
+++ b/tools/projectSphereC3.cython/projectSphereC.cpp
@@ -20,10 +20,11 @@
 
 void project( int nSdd,                     float * sddA,
               int nRadii,                   float * radii,
+              int values,                   float * atten_params,
               int detHeight2,               float * detVertPos,
               int detWidth2,                float * detHorizPos,
               int nSpheres,  int three,     float * spheres,
-              int detHeight, int detWidth,  float * detector )
+              int detHeight, int detWidth,  float * detector)  //mine
 {
     /* Safety checks */
     if ( three != 3  )
@@ -50,9 +51,10 @@ void project( int nSdd,                     float * sddA,
      * Eigen Arrays starting with capital letters */
     Eigen::Map<Eigen::MatrixXf> Sph(  spheres,    three,     nSpheres );
     Eigen::Map<Eigen::MatrixXf> Rad(  radii,      nSpheres,  1 );
+    Eigen::Map<Eigen::MatrixXf> Atten( atten_params , values,  1 );
     Eigen::Map<Eigen::MatrixXf> Det(  detector,   detWidth,  detHeight );
     Eigen::Map<Eigen::MatrixXf> DetV( detVertPos, detHeight, 1 );
-    Eigen::Map<Eigen::MatrixXf> DetH( detHorizPos,detWidth,  1 );
+    Eigen::Map<Eigen::MatrixXf> DetH( detHorizPos,detWidth,  1 );   //mine
 
     #pragma omp parallel
     #pragma omp for
@@ -68,9 +70,10 @@ void project( int nSdd,                     float * sddA,
 //         printf("\n\n");
 
         /* Some pre-calculation to avoid repeating in loop */
-        float sphereCoordNormSquare, radiusSquare;
+        float sphereCoordNormSquare, radiusSquare, atten;   //mine
         sphereCoordNormSquare = std::pow( Sph.block<3,1>(0, sphere).norm(), 2 );
         radiusSquare          = std::pow( Rad( sphere, 0 ), 2 );
+        atten = Atten(sphere,0);  //mine
 
         unsigned int h,v;
         float length;
@@ -97,7 +100,8 @@ void project( int nSdd,                     float * sddA,
                 if ( length > 0.0 )
                 {
                     #pragma omp atomic
-                    Det(h,v) += length;
+                    Det(h,v) += exp(length * atten);   //new
+                    //Det(h,v) += length;              //old
                 }
             }
 
diff --git a/tools/projectSphereC3.cython/projectSphereC.hpp b/tools/projectSphereC3.cython/projectSphereC.hpp
index 468bc23..e91d36e 100644
--- a/tools/projectSphereC3.cython/projectSphereC.hpp
+++ b/tools/projectSphereC3.cython/projectSphereC.hpp
@@ -1,6 +1,7 @@
-void project( int nSdd,                     float * sddA,              
-              int nRadii,                   float * radii,             
-              int detHeight2,               float * detVertPos,        
-              int detWidth2,                float * detHorizPos,       
-              int nSpheres,  int three,     float * spheres,           
-              int detHeight, int detWidth,  float * detector );
+void project( int nSdd,                     float * sddA,
+              int nRadii,                   float * radii,
+              int values,                   float * atten_params,
+              int detHeight2,               float * detVertPos,
+              int detWidth2,                float * detHorizPos,
+              int nSpheres,  int three,     float * spheres,
+              int detHeight, int detWidth,  float * detector);
diff --git a/tools/projectSphereC3.cython/trial.cpp b/tools/projectSphereC3.cython/trial.cpp
new file mode 100644
index 0000000..eedb30c
--- /dev/null
+++ b/tools/projectSphereC3.cython/trial.cpp
@@ -0,0 +1,127 @@
+#include <stdio.h>
+#include <math.h>
+#include <iostream>
+#include <Eigen/Dense>
+#include <omp.h>
+#include "projectSphereC.hpp"
+
+/* 2016-10-09 -- Edward Andò
+ *  Sphere projector in divergent geometry, based on Benjy Marks'
+ *  Python implementation
+ */
+
+/* This function takes in:
+ *    - Geometry for projection:
+ *      - Source-Detector distance (mm)
+ *      - Pixel size (mm)
+ *    - An array of circle positions in space + radius
+ *    - A 2D "detector" matrix (empty) for the projection
+ */
+
+void project( int nSdd,                     float * sddA,
+              int nRadii,                   float * radii,
+              int detHeight2,               float * detVertPos,
+              int detWidth2,                float * detHorizPos,
+              int nSpheres,  int three,     float * spheres,
+              int detHeight, int detWidth,  float * detector )
+{
+    /* Safety checks */
+    if ( three != 3  )
+    {
+        printf("C++ project(): Did not get 3 columns in spheres matrix, got %i...\n", three);
+        return;
+    }
+    if ( detHeight != detHeight2 || detWidth != detWidth2 )
+    {
+        printf("C++ project(): Input data problem...\n");
+        return;
+    }
+
+//     for ( int h = 0; h < nAttenuationParams; h++ )
+//     {
+//         printf("attenuationCoeff %i = %f", h, attenuationParams[h] );
+//     }
+
+    float sdd = sddA[0];
+
+
+    /* map incoming arrays (spheres and detector) into eigen arrays,
+     * Careful, Eigen accesses in Y,X compared to python's X,Y
+     * Eigen Arrays starting with capital letters */
+    Eigen::Map<Eigen::MatrixXf> Sph(  spheres,    three,     nSpheres );
+    Eigen::Map<Eigen::MatrixXf> Rad(  radii,      nSpheres,  1 );
+    Eigen::Map<Eigen::MatrixXf> Det(  detector,   detWidth,  detHeight );
+    Eigen::Map<Eigen::MatrixXf> DetV( detVertPos, detHeight, 1 );
+    Eigen::Map<Eigen::MatrixXf> DetH( detHorizPos,detWidth,  1 );
+
+    #pragma omp parallel
+    #pragma omp for
+
+    /* Looping over all spheres */
+    for ( unsigned int sphere = 0; sphere < nSpheres; sphere++ )
+    {
+//         printf( "\tsphere = %i\n", sphere );
+//         printf( "\tdetector pixels: %ix%i\n", detHeight, detWidth);
+//         std::cout << Sph.block<3,1>(0,sphere) << std::endl;
+//         printf("\n");
+//         std::cout << Rad(sphere,0) << std::endl;
+//         printf("\n\n");
+
+        /* Some pre-calculation to avoid repeating in loop */
+        float sphereCoordNormSquare, radiusSquare;
+        sphereCoordNormSquare = std::pow( Sph.block<3,1>(0, sphere).norm(), 2 );
+        radiusSquare          = std::pow( Rad( sphere, 0 ), 2 );
+
+        unsigned int h,v;
+        float length;
+        Eigen::Matrix<float, 3, 1> line;
+        Eigen::Matrix<float, 3, 1> lineNorm;
+
+        for ( h = 0; h < detWidth; h++ )
+        {
+            for ( v = 0; v < detHeight; v++ )
+            {
+                /* Create the line's end */
+                line(0,0) = sdd;
+                line(1,0) = DetH(h,0);
+                line(2,0) = DetV(v,0);
+                lineNorm = line.normalized();
+
+//                 printf( "%f, %f, %f\n", line(0,0), line(1,0), line(2,0) );
+//                 printf( "%f, %f, %f\n\n", lineNorm(0,0), lineNorm(1,0), lineNorm(2,0) );
+
+                length = 2.0 * std::sqrt(  std::pow( lineNorm.dot( Sph.block<3,1>(0,sphere) ), 2)
+                                         - sphereCoordNormSquare
+                                         + radiusSquare );
+
+                if ( length > 0.0 )
+                {
+                    #pragma omp atomic
+                    Det(h,v) += length;
+                }
+            }
+
+        }
+
+     }
+
+
+
+
+
+    /* Loop over non-zero pixels and calculate the e^ part of the beer-lambert law,
+     * i.e., e^(-mu*rho*x) where x is length, and mu*rho is the incoming attenuationCoeff */
+
+//     unsigned int h,v;
+//     for ( h = 0; h < detWidth; h++ )
+//     {
+//         for ( v = 0; v < detHeight; v++ )
+//         {
+//             // 2017-05-22 attempt to correct BH with a power factor on the distance (attenuationDistancePowerFudge)
+// //             Det(h,v) = exp( - ( Det(h,v) ) * 1 );
+//             Det(h,v) = attenuationParams[0] * exp( - Det(h,v) * 1 );
+//         }
+//     }
+
+
+}
-- 
GitLab


From 8dcb841cbe12839c1981698266d6b665bd3f7f91 Mon Sep 17 00:00:00 2001
From: Pandit Atharva <atharva@msspc65.mss.uni-erlangen.de>
Date: Wed, 16 Nov 2022 11:14:54 +0100
Subject: [PATCH 2/2] new setup and .cpp files

---
 75spheres_yade.png                            | Bin 85375 -> 0 bytes
 gran_trac.png                                 | Bin 74669 -> 0 bytes
 ...ctSphereC3.cpython-310-x86_64-linux-gnu.so | Bin 1014760 -> 1198440 bytes
 ...ectSphereC3.cpython-38-x86_64-linux-gnu.so | Bin 1005480 -> 0 bytes
 test.png                                      | Bin 79301 -> 0 bytes
 test.py                                       |  83 ------------
 .../projectSphereC3.cython/projectSphereC.cpp |   4 +-
 tools/projectSphereC3.cython/trial.cpp        | 127 ------------------
 8 files changed, 3 insertions(+), 211 deletions(-)
 delete mode 100644 75spheres_yade.png
 delete mode 100644 gran_trac.png
 delete mode 100755 projectSphereC3.cpython-38-x86_64-linux-gnu.so
 delete mode 100644 test.png
 delete mode 100644 test.py
 delete mode 100644 tools/projectSphereC3.cython/trial.cpp

diff --git a/75spheres_yade.png b/75spheres_yade.png
deleted file mode 100644
index 698e62d441321fd70c93343595f65bae9818bb8c..0000000000000000000000000000000000000000
GIT binary patch
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diff --git a/projectSphereC3.cpython-310-x86_64-linux-gnu.so b/projectSphereC3.cpython-310-x86_64-linux-gnu.so
index 90f0768ed9d817992ef3246dbd80cb755a123a46..9264478db2575d867c0fb099a4a7b9a466e1342d 100755
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diff --git a/test.py b/test.py
deleted file mode 100644
index a8fe189..0000000
--- a/test.py
+++ /dev/null
@@ -1,83 +0,0 @@
-from radioSphere.projectSphere import projectSphereMM as ps
-import numpy as np
-import matplotlib.pyplot as plt
-from math import log10
-
-xyz = np.array([[150,0,0],[160,3,3],[180,-6,6]])
-radii = np.array([1,1,1])
-atten_params = np.array([log10(2),log10(3),log10(4)])
-proj = ps(xyz,radii,atten_params,sourceDetectorDistMM=200)
-
-#xyztrac = np.array([[170,-3,-3]])
-#radiitrac = np.array([3])
-#projtrac = ps(xyztrac,radiitrac,sourceDetectorDistMM=200)
-
-#projfull = proj + 3*projtrac
-
-plt.imshow(proj)
-plt.colorbar()
-plt.show()
-
-'''
-def projectSphereMM(spheresPositionMM, radiiMM, ROIcentreMM=None, ROIradiusMM=None, sourceDetectorDistMM=100, pixelSizeMM=0.1, detectorResolution=[512,512], projector='C', transformationCentreMM=None, transformationMatrix=None, blur=None, displacementsMM=None):
-
-    This is the python wrapping function for the C++ projector, it gets projection geometry,
-    list of particle positions and radii, projected in the X direction.
-    The output is the crossed distance for each sphere in mm.
-
-    Please refer to the figures/projectedCoords_v2 for geometry
-
-    In order to allow projections from diffferent angles, an XYZ centre and a transformation matrix can be provided,
-    which will be applied to the particle positions.
-
-    Parameters
-    ----------
-        spheresPositionMM : Nx3 2D numpy array of floats
-            xyz positions of spheres in mm, with the origin being the middle of the detector
-
-        radiiMM : 1D numpy array of floats
-            Particle radii for projection
-
-        ROIcentreMM : 3-component vector of floats, optional
-            Particle position for ROI
-            Default = Disactivated (None)
-
-        ROIradiusMM : float, optional
-            Particle radius for ROI
-            Default = Disactivated (None)
-
-        sourceDetectorDistMM : float, optional
-            Distance between x-ray source and middle of detector.
-            Set as numpy.inf for parallel projection
-            Default = 100
-
-        pixelSizeMM : float, optional
-            Pixel size on detector in mm
-            Default = 0.1
-
-        detectorResolution : 2-component list of ints, optional
-            Number of pixels rows, columns of detector
-            Default = [512,512]
-
-        projector : string, optional
-            Algorithm for the projector (leave this alone for now)
-            Default = 'C'
-
-        transformationCentreMM : 3-component vector
-            XYZ centre for a transformation
-            Default = None
-
-        transformationMatrix : 3x3 numpy array
-            XYZ transformation matrix to apply to coordinates
-            Default = None
-
-        blur : float, optional
-            sigma of blur to pass to scipy.ndimage.gaussian_filter to
-            blur the radiograph at the end of everything
-
-    Returns
-    -------
-        projectionMM : 2D numpy array of floats
-            Radiography containing the total crossed distance through the spheres distance in mm for each beam path.
-            To turn this into a radiography, the distances should be put into a calibrated Beer-Lambert law
-'''
diff --git a/tools/projectSphereC3.cython/projectSphereC.cpp b/tools/projectSphereC3.cython/projectSphereC.cpp
index f5bd8e7..405c624 100644
--- a/tools/projectSphereC3.cython/projectSphereC.cpp
+++ b/tools/projectSphereC3.cython/projectSphereC.cpp
@@ -56,6 +56,8 @@ void project( int nSdd,                     float * sddA,
     Eigen::Map<Eigen::MatrixXf> DetV( detVertPos, detHeight, 1 );
     Eigen::Map<Eigen::MatrixXf> DetH( detHorizPos,detWidth,  1 );   //mine
 
+    Det.array() += 1.f;
+
     #pragma omp parallel
     #pragma omp for
 
@@ -100,7 +102,7 @@ void project( int nSdd,                     float * sddA,
                 if ( length > 0.0 )
                 {
                     #pragma omp atomic
-                    Det(h,v) += exp(length * atten);   //new
+                    Det(h,v) *= exp(- length * atten);   //new
                     //Det(h,v) += length;              //old
                 }
             }
diff --git a/tools/projectSphereC3.cython/trial.cpp b/tools/projectSphereC3.cython/trial.cpp
deleted file mode 100644
index eedb30c..0000000
--- a/tools/projectSphereC3.cython/trial.cpp
+++ /dev/null
@@ -1,127 +0,0 @@
-#include <stdio.h>
-#include <math.h>
-#include <iostream>
-#include <Eigen/Dense>
-#include <omp.h>
-#include "projectSphereC.hpp"
-
-/* 2016-10-09 -- Edward Andò
- *  Sphere projector in divergent geometry, based on Benjy Marks'
- *  Python implementation
- */
-
-/* This function takes in:
- *    - Geometry for projection:
- *      - Source-Detector distance (mm)
- *      - Pixel size (mm)
- *    - An array of circle positions in space + radius
- *    - A 2D "detector" matrix (empty) for the projection
- */
-
-void project( int nSdd,                     float * sddA,
-              int nRadii,                   float * radii,
-              int detHeight2,               float * detVertPos,
-              int detWidth2,                float * detHorizPos,
-              int nSpheres,  int three,     float * spheres,
-              int detHeight, int detWidth,  float * detector )
-{
-    /* Safety checks */
-    if ( three != 3  )
-    {
-        printf("C++ project(): Did not get 3 columns in spheres matrix, got %i...\n", three);
-        return;
-    }
-    if ( detHeight != detHeight2 || detWidth != detWidth2 )
-    {
-        printf("C++ project(): Input data problem...\n");
-        return;
-    }
-
-//     for ( int h = 0; h < nAttenuationParams; h++ )
-//     {
-//         printf("attenuationCoeff %i = %f", h, attenuationParams[h] );
-//     }
-
-    float sdd = sddA[0];
-
-
-    /* map incoming arrays (spheres and detector) into eigen arrays,
-     * Careful, Eigen accesses in Y,X compared to python's X,Y
-     * Eigen Arrays starting with capital letters */
-    Eigen::Map<Eigen::MatrixXf> Sph(  spheres,    three,     nSpheres );
-    Eigen::Map<Eigen::MatrixXf> Rad(  radii,      nSpheres,  1 );
-    Eigen::Map<Eigen::MatrixXf> Det(  detector,   detWidth,  detHeight );
-    Eigen::Map<Eigen::MatrixXf> DetV( detVertPos, detHeight, 1 );
-    Eigen::Map<Eigen::MatrixXf> DetH( detHorizPos,detWidth,  1 );
-
-    #pragma omp parallel
-    #pragma omp for
-
-    /* Looping over all spheres */
-    for ( unsigned int sphere = 0; sphere < nSpheres; sphere++ )
-    {
-//         printf( "\tsphere = %i\n", sphere );
-//         printf( "\tdetector pixels: %ix%i\n", detHeight, detWidth);
-//         std::cout << Sph.block<3,1>(0,sphere) << std::endl;
-//         printf("\n");
-//         std::cout << Rad(sphere,0) << std::endl;
-//         printf("\n\n");
-
-        /* Some pre-calculation to avoid repeating in loop */
-        float sphereCoordNormSquare, radiusSquare;
-        sphereCoordNormSquare = std::pow( Sph.block<3,1>(0, sphere).norm(), 2 );
-        radiusSquare          = std::pow( Rad( sphere, 0 ), 2 );
-
-        unsigned int h,v;
-        float length;
-        Eigen::Matrix<float, 3, 1> line;
-        Eigen::Matrix<float, 3, 1> lineNorm;
-
-        for ( h = 0; h < detWidth; h++ )
-        {
-            for ( v = 0; v < detHeight; v++ )
-            {
-                /* Create the line's end */
-                line(0,0) = sdd;
-                line(1,0) = DetH(h,0);
-                line(2,0) = DetV(v,0);
-                lineNorm = line.normalized();
-
-//                 printf( "%f, %f, %f\n", line(0,0), line(1,0), line(2,0) );
-//                 printf( "%f, %f, %f\n\n", lineNorm(0,0), lineNorm(1,0), lineNorm(2,0) );
-
-                length = 2.0 * std::sqrt(  std::pow( lineNorm.dot( Sph.block<3,1>(0,sphere) ), 2)
-                                         - sphereCoordNormSquare
-                                         + radiusSquare );
-
-                if ( length > 0.0 )
-                {
-                    #pragma omp atomic
-                    Det(h,v) += length;
-                }
-            }
-
-        }
-
-     }
-
-
-
-
-
-    /* Loop over non-zero pixels and calculate the e^ part of the beer-lambert law,
-     * i.e., e^(-mu*rho*x) where x is length, and mu*rho is the incoming attenuationCoeff */
-
-//     unsigned int h,v;
-//     for ( h = 0; h < detWidth; h++ )
-//     {
-//         for ( v = 0; v < detHeight; v++ )
-//         {
-//             // 2017-05-22 attempt to correct BH with a power factor on the distance (attenuationDistancePowerFudge)
-// //             Det(h,v) = exp( - ( Det(h,v) ) * 1 );
-//             Det(h,v) = attenuationParams[0] * exp( - Det(h,v) * 1 );
-//         }
-//     }
-
-
-}
-- 
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