{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Reconstruction with TomoPy\n",
"\n",
"Here is an example of how to use the gridrec (Dowd, 2019) reconstruction\n",
"algorithm with [TomoPy](https://tomopy.readthedocs.io/en/latest) (Gursoy, 2014).\n",
"\n",
"First [install](https://tomopy.readthedocs.io/en/latest/install.html) TomoPy."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import tomopy"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Tomographic data input in TomoPy is supported by [DXchange](https://dxchange.readthedocs.io)."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import dxchange"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[Matplotlib](https://matplotlib.org/) provides plotting of the result in this notebook. [Paraview](https://www.paraview.org) or other tools are available for more sophisticated 3D rendering."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Import and activate Python's built in logging module if desired. It may print something helpful."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"import logging\n",
"logging.basicConfig(level=logging.INFO)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This [data set](https://github.com/tomopy/tomopy/blob/master/source/tomopy/data/tooth.h5) file format follows the [APS](http://www.aps.anl.gov) beamline [2-BM and 32-ID](https://www1.aps.anl.gov/Imaging) [data-exchange](https://dxfile.readthedocs.io) definition. Other file format readers for other synchrotrons are also available with [DXchange](https://dxchange.readthedocs.io/en/latest/source/api/dxchange.exchange.html)."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"INFO:dxchange.reader:Data successfully imported: /home/dching/Documents/tomopy/source/tomopy/data/tooth.h5\n",
"INFO:dxchange.reader:Data successfully imported: /home/dching/Documents/tomopy/source/tomopy/data/tooth.h5\n",
"INFO:dxchange.reader:Data successfully imported: /home/dching/Documents/tomopy/source/tomopy/data/tooth.h5\n",
"INFO:dxchange.reader:Data successfully imported: /home/dching/Documents/tomopy/source/tomopy/data/tooth.h5\n"
]
}
],
"source": [
"proj, flat, dark, theta = dxchange.read_aps_32id(\n",
" fname='../../../source/tomopy/data/tooth.h5',\n",
" sino=(0, 2), # Select the sinogram range to reconstruct.\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot the sinogram"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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\n",
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