{ "cells": [ { "cell_type": "markdown", "id": "ec8f727eb8e07d22", "metadata": {}, "source": [ "# Forward Matrix Calculation with a Custom Forward Projector\n", "\n", "This tutorial details the process of calculating a forward matrix ($N_{\\text{views}} \\times N_{\\text{rows}} \\times N_{\\text{cols}} \\times N_E$), making use of xspec.calc_forward_matrix with input:\n", "- A list of scanned materials, accompanied by their densities.\n", "- Masks representing homogeneous objects to depict object dimensions.\n", "- A CT forward projector encapsulated within a Python class.\n", "\n", "The specified CT forward projector is designed for executing forward projections of the provided masks, thereby calculating the line path that traverses a homogeneous object in millimeters." ] }, { "cell_type": "markdown", "id": "a057e62d6694f619", "metadata": {}, "source": [ "## A. Cacluate A list of scanned materials, accompanied by their densities.\n", "Obtain LAC $\\mu(E)$ for each scanned homogeneous object with `get_lin_att_c_vs_E`:\n", "Note that, we provide a reference density for elementary substance. However, the reference density is not available for compounds." ] }, { "cell_type": "code", "execution_count": 1, "id": "fba1a46a098729c", "metadata": { "ExecuteTime": { "end_time": "2024-04-01T16:49:20.989343Z", "start_time": "2024-04-01T16:49:20.785247Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from xspec.chem_consts import get_lin_att_c_vs_E\n", "from xspec.chem_consts._periodictabledata import density\n", "\n", "# Scanned cylinders\n", "materials = ['V', 'Al', 'Ti', 'Mg']\n", "mat_density = [density['%s' % formula] for formula in materials]\n", "energies = np.linspace(1, 160, 160) # Define energies bins from 1 kV to 160 kV with step size 1 kV.\n", "lac_vs_E_list = []\n", "\n", "for i in range(len(materials)):\n", " formula = materials[i]\n", " den = mat_density[i]\n", " lac_vs_E_list.append(get_lin_att_c_vs_E(den, formula, energies))\n", " \n", "plt.figure(figsize=(10, 6))\n", "\n", "for i, lac in enumerate(lac_vs_E_list):\n", " plt.plot(energies, lac, label=materials[i])\n", "\n", "plt.xlabel('Energy (keV)')\n", "plt.ylabel('Linear Attenuation Coefficient ($\\mu(E)$)')\n", "plt.title('Linear Attenuation Coefficients vs Energy')\n", "plt.yscale('log')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3d9d0344642f00d7", "metadata": {}, "source": [ "## B. Masks for homogeneous objects\n", "\n", "This script demonstrates how to generate **a simulated list of 3D masks for homogenous samples**. \n", "The script uses the Gen_Circle class to generate each 3D mask and then calculates the LAC at a specific energy level (60 keV) for each material. \n", "The final output is a visual representation of the summed LAC across all cylindrical objects, providing insight into how different materials within a composite object might interact with X-ray photons at a given energy level." ] }, { "cell_type": "code", "execution_count": 2, "id": "2552ebf4e7122eff", "metadata": { "ExecuteTime": { "end_time": "2024-04-01T16:49:21.153Z", "start_time": "2024-04-01T16:49:20.993084Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from xspec._utils import Gen_Circle\n", "from xspec.chem_consts import get_lin_att_c_vs_E\n", "\n", "# FOV is about 10 mm * 10 mm\n", "nchanl = 1024\n", "rsize = 0.01 # mm\n", "\n", "# 4 cylinders with 1mm radius are evenly distributed on a circle with 3mm radius.\n", "Radius = [1 for _ in range(len(materials))]\n", "arrange_with_radius = 3 \n", "centers = [[np.sin(rad_angle) * arrange_with_radius, np.cos(rad_angle) * arrange_with_radius]\n", "\t\t for rad_angle in np.linspace(-np.pi / 2, -np.pi / 2 + np.pi * 2, len(materials), endpoint=False)]\n", "\n", "# Each mask represents a homogenous cylinder.\n", "mask_list = []\n", "for mat_id, mat in enumerate(materials):\n", "\tcircle = Gen_Circle((nchanl, nchanl), (rsize, rsize))\n", "\t# Use np.newaxis to convert 2D array to 3D.\n", "\tmask_list.append(circle.generate_mask(Radius[mat_id], centers[mat_id])[np.newaxis])\n", "\n", "# Calculate the summed LAC for all materials at 60 keV\n", "summed_lac = np.sum(\n", " np.array([ml * get_lin_att_c_vs_E(mat_density[i], materials[i], 60.0) for i, ml in enumerate(mask_list)]),\n", " axis=(0, 1))\n", "\n", "# Plotting the result\n", "plt.figure(figsize=(8, 8))\n", "plt.imshow(summed_lac, vmin=0, vmax=0.5, cmap='viridis')\n", "plt.colorbar(label='Linear Attenuation Coefficient')\n", "plt.title('Linear Attenuation Coefficients at 60 keV')\n", "\n", "# Adding labels for each material at its center\n", "for i, center in enumerate(centers):\n", " plt.text(center[1] * nchanl/9 + nchanl/2, center[0] * nchanl/9 + nchanl/2, materials[i], color='red', ha='center', va='center', fontsize=20)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1119867d77d129ea", "metadata": {}, "source": [ "## C. A CT forward projector encapsulated within a Python class\n", "Before you start, ensure you have the following prerequisites installed:\n", "\n", "- SVMBIR (for forward projection, you can use your own forward projector)" ] }, { "cell_type": "markdown", "id": "42bac0bfe2766ad5", "metadata": {}, "source": [ "The custom forward projector should be encapsulated within a python class `fw_projector` . This class is designed to initialize with specific parameters that outline the CT geometry. It features a forward function dedicated to executing the projection of a specified mask.\n", "\n", "In the ensuing example, we encapsulate the `svmbir.project` function within a python class `fw_projector` class. The process involves two principal steps:\n", "\n", "1. Initializing the class with essential geometric parameters through the `__init__()` method.\n", "\n", "2. Crafting a `forward(self, mask)` method that computes and returns the projection ($N_{\\text{views}} \\times N_{\\text{rows}} \\times N_{\\text{cols}}$) of a 3D mask.\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "c6ba4af6066298a7", "metadata": { "ExecuteTime": { "end_time": "2024-04-01T16:49:21.156398Z", "start_time": "2024-04-01T16:49:21.154743Z" } }, "outputs": [], "source": [ "import svmbir\n", "\n", "class fw_projector:\n", " \"\"\"A class for forward projection using SVMBIR.\"\"\"\n", "\n", " def __init__(self, angles, num_channels, delta_pixel=1):\n", " \"\"\"\n", " Initializes the forward projector with specified geometric parameters.\n", "\n", " Parameters:\n", " angles (array): Array of projection angles.\n", " num_channels (int): Number of detector channels.\n", " delta_pixel (float, optional): Size of a pixel, defaults to 1.\n", " \"\"\"\n", " self.angles = angles\n", " self.num_channels = num_channels\n", " self.delta_pixel = delta_pixel\n", "\n", " def forward(self, mask):\n", " \"\"\"\n", " Computes the projection of a given mask.\n", "\n", " Parameters:\n", " mask (numpy.ndarray): 3D mask of the object to be projected.\n", "\n", " Returns:\n", " numpy.ndarray: The computed projection of the mask.\n", " \"\"\"\n", " projections = svmbir.project(mask, self.angles, self.num_channels) * self.delta_pixel\n", " return projections\n", " \n", "angles = np.linspace(-np.pi/2, np.pi, 40, endpoint=False)\n", "projector = fw_projector(angles, num_channels=1024, delta_pixel=0.01)" ] }, { "cell_type": "markdown", "id": "577fb1ae34f207db", "metadata": {}, "source": [ "## Calculating the Forward Matrix\n", "\n", "Calculate the forward matrix ($N_{\\text{views}} \\times N_{\\text{rows}} \\times N_{\\text{cols}} \\times N_E$) using the list of masks, LAC, and projector using `calc_forward_matrix`:\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "d9e8fe9152a64b61", "metadata": { "ExecuteTime": { "end_time": "2024-04-01T16:49:23.537175Z", "start_time": "2024-04-01T16:49:21.157950Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Found system matrix: /Users/damonli/.cache/svmbir/sysmatrix/fa02df7dd8cb1ddb5e4d.2Dsvmatrix\n", "Found system matrix: /Users/damonli/.cache/svmbir/sysmatrix/fa02df7dd8cb1ddb5e4d.2Dsvmatrix\n", "Found system matrix: /Users/damonli/.cache/svmbir/sysmatrix/fa02df7dd8cb1ddb5e4d.2Dsvmatrix\n", "Found system matrix: /Users/damonli/.cache/svmbir/sysmatrix/fa02df7dd8cb1ddb5e4d.2Dsvmatrix\n", "Shape of spec_F (40, 1, 1024, 160)\n" ] } ], "source": [ "from xspec import calc_forward_matrix\n", "spec_F = calc_forward_matrix(mask_list, lac_vs_E_list, projector)\n", "print('Shape of spec_F', spec_F.shape)" ] }, { "cell_type": "code", "execution_count": 5, "id": "808d87959cbeea7b", "metadata": { "ExecuteTime": { "end_time": "2024-04-01T16:49:23.613685Z", "start_time": "2024-04-01T16:49:23.542867Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Transmission Value at -76.50 Degrees for 60 keV')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(spec_F[2,0,:,60])\n", "plt.title(f'Transmission Value at {np.degrees(angles[2]):.2f} Degrees for 60 keV')" ] } ], "metadata": { "kernelspec": { "display_name": "xspec", "language": "python", "name": "xspec" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 5 }