{ "cells": [ { "cell_type": "markdown", "id": "dd79813f", "metadata": { "papermill": { "duration": 0.005445, "end_time": "2025-04-30T22:20:05.652374", "exception": false, "start_time": "2025-04-30T22:20:05.646929", "status": "completed" }, "tags": [] }, "source": [ "# SIMIND Introduction" ] }, { "cell_type": "code", "execution_count": 1, "id": "c799a601", "metadata": { "execution": { "iopub.execute_input": "2025-04-30T22:20:05.663631Z", "iopub.status.busy": "2025-04-30T22:20:05.663132Z", "iopub.status.idle": "2025-04-30T22:20:13.997126Z", "shell.execute_reply": "2025-04-30T22:20:13.996307Z" }, "papermill": { "duration": 8.341131, "end_time": "2025-04-30T22:20:13.998586", "exception": false, "start_time": "2025-04-30T22:20:05.657455", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "import inspect\n", "import matplotlib.pyplot as plt\n", "import torch\n", "from pytomography.io.SPECT import simind\n", "from pytomography.projectors.SPECT import SPECTSystemMatrix\n", "from pytomography.transforms.SPECT import SPECTAttenuationTransform, SPECTPSFTransform\n", "from pytomography.algorithms import OSEM\n", "from pytomography.likelihoods import PoissonLogLikelihood\n", "import os" ] }, { "cell_type": "code", "execution_count": 2, "id": "b7ccacb1", "metadata": { "execution": { "iopub.execute_input": "2025-04-30T22:20:14.009967Z", "iopub.status.busy": "2025-04-30T22:20:14.009415Z", "iopub.status.idle": "2025-04-30T22:20:14.013016Z", "shell.execute_reply": "2025-04-30T22:20:14.012467Z" }, "papermill": { "duration": 0.009997, "end_time": "2025-04-30T22:20:14.014033", "exception": false, "start_time": "2025-04-30T22:20:14.004036", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "# CHANGE THIS TO WHERE YOU DOWNLOADED THE TUTORIAL DATA\n", "PATH = '/mnt/mydisk2/pytomo_tutorial_data/SPECT'\n", "data_path = os.path.join(PATH, 'SIMIND-Jaszak', 'lu177_SYME_jaszak')" ] }, { "cell_type": "markdown", "id": "57ee85a7", "metadata": { "papermill": { "duration": 0.004699, "end_time": "2025-04-30T22:20:14.023387", "exception": false, "start_time": "2025-04-30T22:20:14.018688", "status": "completed" }, "tags": [] }, "source": [ "## 1. Opening Data" ] }, { "cell_type": "markdown", "id": "a66388dc", "metadata": { "papermill": { "duration": 0.004787, "end_time": "2025-04-30T22:20:14.032842", "exception": false, "start_time": "2025-04-30T22:20:14.028055", "status": "completed" }, "tags": [] }, "source": [ "First we specify the save paths corresponding to the SIMIND header files for each of the three energy windows" ] }, { "cell_type": "code", "execution_count": 3, "id": "26b1e869", "metadata": { "execution": { "iopub.execute_input": "2025-04-30T22:20:14.043162Z", "iopub.status.busy": "2025-04-30T22:20:14.042766Z", "iopub.status.idle": "2025-04-30T22:20:14.045889Z", "shell.execute_reply": "2025-04-30T22:20:14.045287Z" }, "papermill": { "duration": 0.009369, "end_time": "2025-04-30T22:20:14.046838", "exception": false, "start_time": "2025-04-30T22:20:14.037469", "status": "completed" }, "tags": [] }, "outputs": [], "source": [ "photopeak_path = os.path.join(data_path,'tot_w4.h00')\n", "lower_path = os.path.join(data_path, 'tot_w5.h00')\n", "upper_path = os.path.join(data_path, 'tot_w6.h00')" ] }, { "cell_type": "markdown", "id": "da5c549a", "metadata": { "papermill": { "duration": 0.004678, "end_time": "2025-04-30T22:20:14.056197", "exception": false, "start_time": "2025-04-30T22:20:14.051519", "status": "completed" }, "tags": [] }, "source": [ "PyTomography stores information such as voxel size, image dimensions, in metadata:\n", "* `ObjectMeta`: Voxel size, image dimensions\n", "* `ProjMeta` (for SPECT): detector angles, radial positions, detector pixel size/dimensions" ] }, { "cell_type": "code", "execution_count": 4, "id": "b5f715fa", "metadata": { "execution": { "iopub.execute_input": "2025-04-30T22:20:14.066999Z", "iopub.status.busy": "2025-04-30T22:20:14.066590Z", "iopub.status.idle": "2025-04-30T22:20:14.337346Z", "shell.execute_reply": "2025-04-30T22:20:14.336524Z" }, "papermill": { "duration": 0.27739, "end_time": "2025-04-30T22:20:14.338279", "exception": true, "start_time": "2025-04-30T22:20:14.060889", "status": "failed" }, "tags": [] }, "outputs": [], "source": [ "object_meta, proj_meta = simind.get_metadata(photopeak_path)" ] }, { "cell_type": "code", "execution_count": 5, "id": "7e1a770e", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:45.729447Z", "iopub.status.busy": "2024-11-19T22:18:45.729175Z", "iopub.status.idle": "2024-11-19T22:18:45.736119Z", "shell.execute_reply": "2024-11-19T22:18:45.735328Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "dr = (np.float32(0.48000002), np.float32(0.48000002), np.float32(0.48000002))\n", "dx = 0.48000001907348633\n", "dy = 0.48000001907348633\n", "dz = 0.48000001907348633\n", "pad_size = 27\n", "padded_shape = (182, 182, 128)\n", "recon_method = None\n", "shape = (128, 128, 128)\n", "units = counts" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "object_meta" ] }, { "cell_type": "code", "execution_count": 6, "id": "ca64ab21", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:45.749389Z", "iopub.status.busy": "2024-11-19T22:18:45.748843Z", "iopub.status.idle": "2024-11-19T22:18:45.875714Z", "shell.execute_reply": "2024-11-19T22:18:45.875064Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "angles = tensor([ 0.0000, 3.7500, 7.5000, 11.2500, 15.0000, 18.7500, 22.5000,\n", " 26.2500, 30.0000, 33.7500, 37.5000, 41.2500, 45.0000, 48.7500,\n", " 52.5000, 56.2500, 60.0000, 63.7500, 67.5000, 71.2500, 75.0000,\n", " 78.7500, 82.5000, 86.2500, 90.0000, 93.7500, 97.5000, 101.2500,\n", " 105.0000, 108.7500, 112.5000, 116.2500, 120.0000, 123.7500, 127.5000,\n", " 131.2500, 135.0000, 138.7500, 142.5000, 146.2500, 150.0000, 153.7500,\n", " 157.5000, 161.2500, 165.0000, 168.7500, 172.5000, 176.2500, 180.0000,\n", " 183.7500, 187.5000, 191.2500, 195.0000, 198.7500, 202.5000, 206.2500,\n", " 210.0000, 213.7500, 217.5000, 221.2500, 225.0000, 228.7500, 232.5000,\n", " 236.2500, 240.0000, 243.7500, 247.5000, 251.2500, 255.0000, 258.7500,\n", " 262.5000, 266.2500, 270.0000, 273.7500, 277.5000, 281.2500, 285.0000,\n", " 288.7500, 292.5000, 296.2500, 300.0000, 303.7500, 307.5000, 311.2500,\n", " 315.0000, 318.7500, 322.5000, 326.2500, 330.0000, 333.7500, 337.5000,\n", " 341.2500, 345.0000, 348.7500, 352.5000, 356.2500], device='cuda:0')\n", "dr = (np.float32(0.48000002), np.float32(0.48000002))\n", "num_projections = 96\n", "pad_size = 27\n", "padded_shape = (96, 182, 128)\n", "radii = [15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15.\n", " 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15.\n", " 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15.\n", " 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15.\n", " 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15. 15.\n", " 15. 15. 15. 15. 15. 15.]\n", "shape = (96, 128, 128)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "proj_meta" ] }, { "cell_type": "markdown", "id": "b805c640", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "The actual projection data itself is loaded as follows:" ] }, { "cell_type": "code", "execution_count": 7, "id": "346f8d22", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:45.900635Z", "iopub.status.busy": "2024-11-19T22:18:45.900123Z", "iopub.status.idle": "2024-11-19T22:18:46.006624Z", "shell.execute_reply": "2024-11-19T22:18:46.006099Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "torch.Size([96, 128, 128])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "photopeak = simind.get_projections(photopeak_path)\n", "photopeak.shape" ] }, { "cell_type": "markdown", "id": "99203515", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "This corresponds to 96 angles where each projection is 256x256. We can plot these projections as follows:" ] }, { "cell_type": "code", "execution_count": 8, "id": "e1db02d7", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:46.032386Z", "iopub.status.busy": "2024-11-19T22:18:46.031650Z", "iopub.status.idle": "2024-11-19T22:18:46.161367Z", "shell.execute_reply": "2024-11-19T22:18:46.160844Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,4,figsize=(8,2.4), gridspec_kw={'wspace':0.0})\n", "for i in range(4):\n", " ax[i].imshow(photopeak[10*i].cpu().T, cmap='magma')\n", " ax[i].axis('off')\n", " ax[i].text(0.03, 0.97, f'Angle: {10*proj_meta.angles[i]}dg', ha='left', va='top', color='white', transform=ax[i].transAxes, fontsize=12)" ] }, { "cell_type": "markdown", "id": "e0926cd0", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "Raw SIMIND data has units of Counts / Second / MBq and represents the *expectation value* of the measured data in each detector bin. We can generate clinically realistic data by \n", "1. scaling by time and activity (converting to units of counts)\n", "2. obtaining a Poisson realization" ] }, { "cell_type": "code", "execution_count": 9, "id": "8066a946", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:46.188330Z", "iopub.status.busy": "2024-11-19T22:18:46.187912Z", "iopub.status.idle": "2024-11-19T22:18:46.208616Z", "shell.execute_reply": "2024-11-19T22:18:46.207926Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [], "source": [ "activity = 1000 # MBq \n", "time_per_proj = 15 # s\n", "photopeak_realization = torch.poisson(photopeak * activity * time_per_proj)" ] }, { "cell_type": "markdown", "id": "7f287cfd", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "The actual data is noisier:" ] }, { "cell_type": "code", "execution_count": 10, "id": "5933329f", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:46.236571Z", "iopub.status.busy": "2024-11-19T22:18:46.234688Z", "iopub.status.idle": "2024-11-19T22:18:46.350019Z", "shell.execute_reply": "2024-11-19T22:18:46.349393Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,4,figsize=(8,2.4), gridspec_kw={'wspace':0.0})\n", "for i in range(4):\n", " ax[i].imshow(photopeak_realization[10*i].cpu().T, cmap='magma')\n", " ax[i].axis('off')\n", " ax[i].text(0.03, 0.97, f'Angle {10*i}', ha='left', va='top', color='white', transform=ax[i].transAxes, fontsize=12)" ] }, { "cell_type": "markdown", "id": "df67969a", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "We can do similar things for the adjacent scatter windows:" ] }, { "cell_type": "code", "execution_count": 11, "id": "68197b7c", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:46.385069Z", "iopub.status.busy": "2024-11-19T22:18:46.384830Z", "iopub.status.idle": "2024-11-19T22:18:46.540684Z", "shell.execute_reply": "2024-11-19T22:18:46.540077Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [], "source": [ "lower = simind.get_projections(lower_path)\n", "upper = simind.get_projections(upper_path)\n", "lower_realization = torch.poisson(lower * activity * time_per_proj)\n", "upper_realization = torch.poisson(upper * activity * time_per_proj)" ] }, { "cell_type": "markdown", "id": "d0a4e66f", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "These adjacent energy windows can be used to get an estimate for the scatter in the photopeak window via the triple energy window (TEW) technique:" ] }, { "cell_type": "code", "execution_count": 12, "id": "c4da3070", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:46.571337Z", "iopub.status.busy": "2024-11-19T22:18:46.571001Z", "iopub.status.idle": "2024-11-19T22:18:46.585402Z", "shell.execute_reply": "2024-11-19T22:18:46.584861Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [], "source": [ "ww_peak, ww_lower, ww_upper = [simind.get_energy_window_width(path) for path in [photopeak_path, lower_path, upper_path]]\n", "scatter_estimate_TEW = simind.compute_EW_scatter(lower_realization, upper_realization , ww_lower, ww_upper, ww_peak)" ] }, { "cell_type": "code", "execution_count": 13, "id": "63bbfc3b", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:46.601238Z", "iopub.status.busy": "2024-11-19T22:18:46.600854Z", "iopub.status.idle": "2024-11-19T22:18:46.714073Z", "shell.execute_reply": "2024-11-19T22:18:46.713561Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,4,figsize=(8,2.4), gridspec_kw={'wspace':0.0})\n", "for i in range(4):\n", " ax[i].imshow(scatter_estimate_TEW[10*i].cpu().T, cmap='magma')\n", " ax[i].axis('off')\n", " ax[i].text(0.03, 0.97, f'Angle {10*i}', ha='left', va='top', color='white', transform=ax[i].transAxes, fontsize=12)" ] }, { "cell_type": "markdown", "id": "28cf5179", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "## 2. Creating the System Matrix" ] }, { "cell_type": "markdown", "id": "c1195846", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "The SPECT system matrix depends on modeling (i) attenuation and (ii) collimator detector response (or point spread function)" ] }, { "cell_type": "markdown", "id": "56cc57de", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "### 2.1 Attenuation Modeling" ] }, { "cell_type": "markdown", "id": "dbf60f8d", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "For attenuation modeling we need the corresponding attenuation map. The SIMIND generated attenuation map can be loaded as follows:" ] }, { "cell_type": "code", "execution_count": 14, "id": "feac3eba", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:46.788597Z", "iopub.status.busy": "2024-11-19T22:18:46.788171Z", "iopub.status.idle": "2024-11-19T22:18:46.885674Z", "shell.execute_reply": "2024-11-19T22:18:46.884905Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [], "source": [ "path_amap = os.path.join(data_path, 'amap.hct')\n", "amap = simind.get_attenuation_map(path_amap)" ] }, { "cell_type": "markdown", "id": "faa2a995", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "We can plot a 3D axial slice of this phantom (cylinder) as follows:" ] }, { "cell_type": "code", "execution_count": 15, "id": "350ae47e", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:46.920083Z", "iopub.status.busy": "2024-11-19T22:18:46.919820Z", "iopub.status.idle": "2024-11-19T22:18:47.025656Z", "shell.execute_reply": "2024-11-19T22:18:47.025105Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(3,3))\n", "plt.imshow(amap[:,:,64].cpu().T, cmap='Greys_r')\n", "plt.axis('off')\n", "plt.colorbar(label='1 / cm')" ] }, { "cell_type": "markdown", "id": "d1ba3df5", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "From this attenuation map we build a `SPECTAttenuationTransform`, which will eventually be used in creating the system matrix" ] }, { "cell_type": "code", "execution_count": 16, "id": "775db2ff", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:47.099386Z", "iopub.status.busy": "2024-11-19T22:18:47.098923Z", "iopub.status.idle": "2024-11-19T22:18:47.102958Z", "shell.execute_reply": "2024-11-19T22:18:47.102335Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [], "source": [ "att_transform = SPECTAttenuationTransform(amap)" ] }, { "cell_type": "markdown", "id": "34214677", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "### 2.2 Collimator Detector Response (or Point Spread Function) Modeling" ] }, { "cell_type": "markdown", "id": "337dc90f", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "A perfect SPECT detector would only allow photons travelling perpendicular to the collimator holes to be detected: in practice this is not the case. The angle at which photons can enter depends on the collimator/scintillator parameters. We can get the metadata from the header as follows:\n", "\n", "* The information gives the function/parameters for the point spread function, which depends on the distance between the source/detector $r$" ] }, { "cell_type": "code", "execution_count": 17, "id": "ace4d645", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:47.149760Z", "iopub.status.busy": "2024-11-19T22:18:47.149118Z", "iopub.status.idle": "2024-11-19T22:18:47.157636Z", "shell.execute_reply": "2024-11-19T22:18:47.157169Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "kernel_dimensions = 2D\n", "min_sigmas = 3\n", "shape = gaussian\n", "sigma_fit_params = [np.float64(0.03161982518530097), np.float64(0.12485030454109175), np.float64(0.12542298561135923)]\n", "\n", " sigma_fit = lambda r, a, b, c: np.sqrt((a*r+b)**2+c**2)\n", "\n" ] } ], "source": [ "psf_meta = simind.get_psfmeta_from_header(photopeak_path)\n", "# Below is optional to print details about psf_meta\n", "sigma_fit_func_code = inspect.getsource(psf_meta.sigma_fit)\n", "print(psf_meta)\n", "print(sigma_fit_func_code)" ] }, { "cell_type": "markdown", "id": "107caafd", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "As before, we create a `Transform` with this metadata, which we will soon provide to the system matrix" ] }, { "cell_type": "code", "execution_count": 18, "id": "c222ce09", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:47.190814Z", "iopub.status.busy": "2024-11-19T22:18:47.190483Z", "iopub.status.idle": "2024-11-19T22:18:47.193603Z", "shell.execute_reply": "2024-11-19T22:18:47.193027Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [], "source": [ "psf_transform = SPECTPSFTransform(psf_meta)" ] }, { "cell_type": "markdown", "id": "7a0baa22", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "### 2.3 Creating the system matrix" ] }, { "cell_type": "markdown", "id": "8897ca62", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "The `SPECTSystemMatrix` requires the `metadata` as well as transforms derived previously. In this case we use attenuation and PSF modeling" ] }, { "cell_type": "code", "execution_count": 19, "id": "ccb9fdeb", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:47.241013Z", "iopub.status.busy": "2024-11-19T22:18:47.240461Z", "iopub.status.idle": "2024-11-19T22:18:47.325185Z", "shell.execute_reply": "2024-11-19T22:18:47.324556Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [], "source": [ "system_matrix = SPECTSystemMatrix(\n", " obj2obj_transforms = [att_transform,psf_transform],\n", " proj2proj_transforms = [],\n", " object_meta = object_meta,\n", " proj_meta = proj_meta\n", " )" ] }, { "cell_type": "markdown", "id": "3735261c", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "## 3 Likelihood / Reconstruction" ] }, { "cell_type": "markdown", "id": "d445e4f6", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "The likelihood function for SPECT/PET is the `PoissonLogLikelihood`:\n", "* It gives the relative probability of measuring `projections` given `system_matrix`, an additive term `scatter_estimate_TEW`, and an object estimate (not specified in creating an instance of the class)" ] }, { "cell_type": "code", "execution_count": 20, "id": "bfa5f4f2", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:47.373766Z", "iopub.status.busy": "2024-11-19T22:18:47.373516Z", "iopub.status.idle": "2024-11-19T22:18:47.376568Z", "shell.execute_reply": "2024-11-19T22:18:47.376013Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [], "source": [ "likelihood = PoissonLogLikelihood(\n", " system_matrix = system_matrix,\n", " projections = photopeak_realization,\n", " additive_term = scatter_estimate_TEW\n", ")" ] }, { "cell_type": "markdown", "id": "a2e0706b", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "We can use the likelihood in image reconstruction, in this case we'll use the ordered subset expectation maximum (OSEM) algorithm. We initialize it as follows:" ] }, { "cell_type": "code", "execution_count": 21, "id": "3f333e69", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:47.408158Z", "iopub.status.busy": "2024-11-19T22:18:47.407956Z", "iopub.status.idle": "2024-11-19T22:18:47.420534Z", "shell.execute_reply": "2024-11-19T22:18:47.419808Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [], "source": [ "recon_algorithm = OSEM(likelihood)" ] }, { "cell_type": "markdown", "id": "3ac3f1fd", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "And now we can call it to reconstruct:" ] }, { "cell_type": "code", "execution_count": 22, "id": "a49204a9", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:47.453413Z", "iopub.status.busy": "2024-11-19T22:18:47.452815Z", "iopub.status.idle": "2024-11-19T22:18:53.486288Z", "shell.execute_reply": "2024-11-19T22:18:53.485192Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [], "source": [ "reconstructed_image = recon_algorithm(\n", " n_iters=4,\n", " n_subsets=8,\n", ")" ] }, { "cell_type": "markdown", "id": "e5bba8a3", "metadata": { "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "source": [ "And we can look at the central axial slice of the reconstructed image:" ] }, { "cell_type": "code", "execution_count": 23, "id": "b9adac53", "metadata": { "execution": { "iopub.execute_input": "2024-11-19T22:18:53.520001Z", "iopub.status.busy": "2024-11-19T22:18:53.519364Z", "iopub.status.idle": "2024-11-19T22:18:53.570163Z", "shell.execute_reply": "2024-11-19T22:18:53.569580Z" }, "papermill": { "duration": null, "end_time": null, "exception": null, "start_time": null, "status": "pending" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(3,3))\n", "plt.imshow(reconstructed_image[:,:,64].cpu().T, cmap='magma', origin='lower', interpolation='Gaussian')\n", "plt.xlim(40,85)\n", "plt.ylim(40,85)\n", "plt.axis('off')\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "pytomo", "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": "3.12.9" }, "papermill": { "default_parameters": {}, "duration": 12.273785, "end_time": "2025-04-30T22:20:16.892967", "environment_variables": {}, "exception": true, "input_path": "t_siminddata.ipynb", "output_path": "t_siminddata.ipynb", "parameters": {}, "start_time": "2025-04-30T22:20:04.619182", "version": "2.6.0" } }, "nbformat": 4, "nbformat_minor": 5 }