L-buffer-illustrations.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "68bcc0a2-53bb-4834-917d-becfdf85a04e",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "import matplotlib # To plot images\n",
    "import matplotlib.pyplot as plt # Plotting\n",
    "\n",
    "font = {'family' : 'serif',\n",
    "         'size'   : 10\n",
    "       }\n",
    "matplotlib.rc('font', **font)\n",
    "\n",
    "from PIL import Image, ImageChops\n",
    "\n",
    "\n",
    "from gvxrPython3 import gvxr # Simulate X-ray images\n",
    "from gvxrPython3.utils import plotScreenshot # Visualise the 3D environment if Matplotlib is supported"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "31aa4640-0f25-4d3a-8dd9-7d257fff57ee",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Create an OpenGL context\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Fri Mar 31 15:04:16 2023 ---- Create window (ID: 0)\n",
      "Fri Mar 31 15:04:16 2023 ---- Initialise GLFW\n",
      "Fri Mar 31 15:04:16 2023 ---- Create an OpenGL window with a 4.5 context.\n",
      "Fri Mar 31 15:04:16 2023 ---- Make the window's context current\n",
      "Fri Mar 31 15:04:16 2023 ---- Initialise GLEW\n",
      "Fri Mar 31 15:04:16 2023 ---- OpenGL vendor: NVIDIA Corporation\n",
      "Fri Mar 31 15:04:16 2023 ---- OpenGL renderer: NVIDIA GeForce RTX 2080 Ti/PCIe/SSE2\n",
      "Fri Mar 31 15:04:16 2023 ---- OpenGL version: 4.5.0 NVIDIA 515.76\n",
      "Fri Mar 31 15:04:16 2023 ---- Use OpenGL 4.5.\n",
      "Fri Mar 31 15:04:16 2023 ---- Initialise the X-ray renderer if needed and if possible\n"
     ]
    }
   ],
   "source": [
    "print(\"Create an OpenGL context\")\n",
    "\n",
    "window_id = 0\n",
    "opengl_major_version = 4\n",
    "opengl_minor_version = 5\n",
    "\n",
    "# gvxr.createOpenGLContext(window_id, opengl_major_version, opengl_minor_version);\n",
    "\n",
    "# backend = \"OPENGL\"\n",
    "# visible = True\n",
    "\n",
    "# gvxr.createWindow(window_id, visible, backend, opengl_major_version, opengl_minor_version);\n",
    "\n",
    "visible = True\n",
    "# gvxr.createWindow(window_id, visible, backend, opengl_major_version, opengl_minor_version);\n",
    "\n",
    "backend = \"OPENGL\"\n",
    "# visible has no effect with EGL\n",
    "gvxr.createWindow(window_id, visible, backend, opengl_major_version, opengl_minor_version);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d95c7f9b-eb3c-4df6-8606-f41e8aceeb90",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "gvxr.setSourcePosition(-40.0, 0.0, 0.0, \"cm\")\n",
    "gvxr.usePointSource()\n",
    "gvxr.setMonoChromatic(80, \"keV\", 500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "68f73b60-8df6-4da6-af42-6d108753dd02",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Fri Mar 31 15:04:16 2023 ---- Initialise the renderer\n"
     ]
    }
   ],
   "source": [
    "gvxr.setDetectorNumberOfPixels(640, 320)\n",
    "gvxr.setDetectorPixelSize(0.5, 0.5, \"mm\")\n",
    "gvxr.setDetectorPosition(10, 0, 0, \"cm\")\n",
    "gvxr.setDetectorUpVector(0, 1, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2b178501-3632-4294-9f8a-e76557a259b2",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "gvxr.removePolygonMeshesFromSceneGraph()\n",
    "gvxr.removePolygonMeshesFromXRayRenderer()\n",
    "\n",
    "gvxr.makeCube(\"cube\", 10.0, \"cm\", \"root\")\n",
    "gvxr.makeCylinder(\"cyl\", 10,\n",
    "                  5,\n",
    "                  2.5,\n",
    "                  \"cm\",\n",
    "                  \"cube\")\n",
    "\n",
    "gvxr.subtractMesh(\"cube\", \"cyl\")\n",
    "\n",
    "gvxr.setCompound(\"cube\", \"H2O\")\n",
    "\n",
    "gvxr.setDensity(\"cube\", 1, \"g/cm3\")\n",
    "gvxr.addPolygonMeshAsInnerSurface(\"cube\")\n",
    "gvxr.setColor(\"cube\", 1, 0, 1, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "6798fe2b-ca9c-44cb-a04e-959702ffaea2",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "gvxr.computeXRayImage();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "db40a1f3-629d-4e04-87f0-f106573daab1",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "gvxr.setWindowBackGroundColour(1, 1, 1)\n",
    "gvxr.displayScene()\n",
    "gvxr.setWindowSize(1250, 500)\n",
    "gvxr.displayScene()\n",
    "gvxr.setZoom(437.4293212890625)\n",
    "gvxr.setSceneRotationMatrix((0.9980781078338623, 0.011293421499431133, -0.06087784469127655, 0.0, \n",
    "                             -0.011663769371807575, 0.9999145269393921, -0.005729933734983206, 0.0, \n",
    "                             0.060806844383478165, 0.006429105065762997, 0.9981271028518677, 0.0, \n",
    "                             0.0, 0.0, 0.0, 1.0))\n",
    "# gvxr.renderLoop()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "590c13d1-a6a4-4974-8f22-f0483d931faa",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def trim(im):\n",
    "    bg = Image.new(im.mode, im.size, im.getpixel((0,0)))\n",
    "    diff = ImageChops.difference(im, bg)\n",
    "    diff = ImageChops.add(diff, diff, 2.0, -100)\n",
    "    bbox = diff.getbbox()\n",
    "    if bbox:\n",
    "        return im.crop(bbox)\n",
    "    else:\n",
    "        return im"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "c7da30de-17d8-4e78-b8c7-1e67eeefc42d",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "screenshot = (255 * np.array(gvxr.takeScreenshot())).astype(np.uint8)\n",
    "\n",
    "im = Image.fromarray(screenshot)\n",
    "cropped = trim(im)\n",
    "cropped.save('simple-sim2.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "5666e496-2f58-4157-85f2-c1e087095c20",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotScreenshot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "4133c8e0-4412-48aa-9516-0d161c549a8c",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "lbuffer = np.array(gvxr.getLastLBuffer())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "082aec43-a7bc-46b7-b8ed-2e735c7e0261",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 5))\n",
    "plt.imshow(lbuffer, cmap=\"gray\")\n",
    "plt.colorbar()\n",
    "plt.margins(0,0)\n",
    "plt.savefig(\"lbuffer2.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "92563541-c979-4165-b260-ab2dc72b330b",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mu_d = lbuffer * gvxr.getLinearAttenuationCoefficient(\"cube\", 80, \"keV\")\n",
    "\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.imshow(mu_d, cmap=\"gray\")\n",
    "plt.colorbar()\n",
    "plt.margins(0,0)\n",
    "plt.savefig(\"mu_x_times_d_x2.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "5484f455-b075-4fff-a8b7-4c0d3e771e51",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xray_image = np.array(gvxr.computeXRayImage(), dtype=np.single)\n",
    "xray_image /= gvxr.getUnitOfEnergy(\"keV\") # Conversion in MeV, not needed it's the default unit\n",
    "\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.imshow(xray_image, cmap=\"gray\")\n",
    "plt.colorbar()\n",
    "plt.margins(0,0)\n",
    "plt.savefig(\"integrated_energy2.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "0f3d6938-b0fe-4b1b-8388-93e3b0d3a925",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PDFCROP 1.40, 2020/06/06 - Copyright (c) 2002-2020 by Heiko Oberdiek, Oberdiek Package Support Group.\n",
      "==> 1 page written on `lbuffer2-crop.pdf'.\n",
      "PDFCROP 1.40, 2020/06/06 - Copyright (c) 2002-2020 by Heiko Oberdiek, Oberdiek Package Support Group.\n",
      "==> 1 page written on `mu_x_times_d_x2-crop.pdf'.\n",
      "PDFCROP 1.40, 2020/06/06 - Copyright (c) 2002-2020 by Heiko Oberdiek, Oberdiek Package Support Group.\n",
      "==> 1 page written on `integrated_energy2-crop.pdf'.\n"
     ]
    }
   ],
   "source": [
    "import subprocess\n",
    "\n",
    "for fname in [\"lbuffer2.pdf\", \"mu_x_times_d_x2.pdf\", \"integrated_energy2.pdf\"]:\n",
    "    subprocess.run(['pdfcrop', fname])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "19515d95-dd26-4854-95d5-9aad4b79816c",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Fri Mar 31 15:04:51 2023 ---- Destroy all the windows\n",
      "Fri Mar 31 15:04:51 2023 ---- Destroy window 0(0x563e308b3fc0)\n"
     ]
    }
   ],
   "source": [
    "gvxr.terminate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1b7b5e20-a8a5-4534-90c4-62982b8e6851",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}