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Tools for 2-D Tomographic Reconstruction

version 1.6 (1.12 MB) by

Tools for nonlinear filters & 2-D tomographic reconstruction

3 Ratings



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There are two main methods for tomographic reconstruction: one is based on Radon transform and its inverse transform such as filtered back-projection (FBP), another is based on solving linear algebra equations such as algebraic reconstruction technique (ART).
This toolbox includes tools for creating projections and reconstructing the image from projections:
tomo_projection_2d, computes projections of a given image;
build_weight_matrix, builds weighting factor matrix used for algebraic methods;
tomo_reconstruction_bp, reconstructs the image from its projections using BP method;
tomo_reconstruction_fbp, reconstructs the image from its projections using FBP method;
tomo_reconstruction_art, reconstructs the image from its projections using ART method;
tomo_reconstruction_sart, reconstructs the image from its projections using SART method;
tomo_reconstruction_lsqr, reconstructs the image from its projections, equations are solved by calling the build-in lsqr function.
See demo.m for details.

Comments and Ratings (5)


I'm having trouble with the SART method, it doesn't converge when I try to run it. Does anyone have a demo like the one given for the ART method?

Why the method using ART/SART get images all black?

Chen Lin


Albert (view profile)

Robust, concise, intelligible code for forward and backforward projection image reconstruction.
Greatly appreciate Dr. Han's efforts of writing this code.

Lei Fu

Lei Fu (view profile)



- updates high-pass filter


Bug fixes in demo


- added a function 'imcrop_tomo' to crop the reconstructed image to the same size as the original image;
- enclosed a test function which illustrates the process of computing weighting factor matrix.


Change the diameter calculated in 'tomo_projection_2d' by adding 2, so that it will match the value computed from 'build_weight_matrix'.


- updated descriptions;
- fixed errors in art_solver.


- rearranged files
- rewrote demos
- added instructions


A more accurate method of building weight matrix

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MATLAB 7.14 (R2012a)

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