tomography/xdesign

View on GitHub
docs/source/demos/Parameterized.ipynb

Summary

Maintainability
Test Coverage
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Parameterized Phantom Generation\n",
    "\n",
    "Demonstrates how a parameterized function can generate 4 different phantoms from the same parameterized class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from xdesign import *\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import matplotlib.gridspec as gridspec\n",
    "\n",
    "SIZE = 600"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/user/python/venvs/py373/lib/python3.7/site-packages/xdesign/phantom.py:368: RuntimeWarning: Reached termination criteria of 500 attempts before adding all of the circles.\n",
      "  kTERM_CRIT), RuntimeWarning)\n"
     ]
    },
    {
     "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": [
    "np.random.seed(0) # random seed for repeatability\n",
    "p1 = Foam(size_range=[0.05, 0.01], gap=0, porosity=1)\n",
    "d1 = discrete_phantom(p1, SIZE)\n",
    "plt.imshow(d1, cmap='viridis')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "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": [
    "np.random.seed(0) # random seed for repeatability\n",
    "p2 = Foam(size_range=[0.07, 0.01], gap=0, porosity=0.75)\n",
    "d2 = discrete_phantom(p2, SIZE)\n",
    "plt.imshow(d2, cmap='viridis')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "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": [
    "np.random.seed(0) # random seed for repeatability\n",
    "p3 = Foam(size_range=[0.1, 0.01], gap=0, porosity=0.5)\n",
    "d3 = discrete_phantom(p3, SIZE)\n",
    "plt.imshow(d3, cmap='viridis')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "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": [
    "np.random.seed(0) # random seed for repeatability\n",
    "p4 = Foam(size_range=[0.1, 0.01], gap=0.015, porosity=0.5)\n",
    "d4 = discrete_phantom(p4, SIZE)\n",
    "plt.imshow(d4, cmap='viridis')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create a composite figure of all four discrete phantoms."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 600x600 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(dpi=100)\n",
    "gs1 = gridspec.GridSpec(2, 2)\n",
    "gs1.update(wspace=0.1, hspace=0.1) # set the spacing between axes. \n",
    "\n",
    "plt.subplot(gs1[0])\n",
    "plt.title('(a)')\n",
    "plt.axis('off')\n",
    "plt.imshow(d1, interpolation='none', cmap=plt.cm.gray)\n",
    "plt.subplot(gs1[1])\n",
    "plt.title('(b)')\n",
    "plt.axis('off')\n",
    "plt.imshow(d2, interpolation='none', cmap=plt.cm.gray)\n",
    "plt.subplot(gs1[2])\n",
    "plt.title('(c)')\n",
    "plt.axis('off')\n",
    "plt.imshow(d3, interpolation='none', cmap=plt.cm.gray)\n",
    "plt.subplot(gs1[3])\n",
    "plt.title('(d)')\n",
    "plt.axis('off')\n",
    "plt.imshow(d4, interpolation='none', cmap=plt.cm.gray)\n",
    "fig.set_size_inches(6, 6)\n",
    "plt.savefig('Foam_parameterized.png', dpi='figure',\n",
    "        orientation='landscape', papertype=None, format=None,\n",
    "        transparent=True, bbox_inches='tight', pad_inches=0.0,\n",
    "        frameon=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}