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Tools for 2-D Tomographic Reconstruction

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Tools for 2-D Tomographic Reconstruction

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09 Aug 2013 (Updated )

Tools for nonlinear filters & 2-D tomographic reconstruction

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Description

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.

Acknowledgements

Tomobox, Reconstruction Of Image From Projections By Algebraic Reconstruction Technique, and Anisotropic Diffusion (Perona & Malik) inspired this file.

Required Products Image Processing Toolbox
Symbolic Math Toolbox
MATLAB
MATLAB release MATLAB 7.14 (R2012a)
MATLAB Search Path
/
/Tools for Tomographic Reconstruction
/Tools for Tomographic Reconstruction/filter
/Tools for Tomographic Reconstruction/imtool
/Tools for Tomographic Reconstruction/solver
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Comments and Ratings (1)
09 Oct 2014 Lei Fu

Lei Fu (view profile)

 
Updates
12 Aug 2013 1.2

A more accurate method of building weight matrix

16 Jan 2015 1.3

- rearranged files
- rewrote demos
- added instructions

02 Feb 2015 1.4

- updated descriptions;
- fixed errors in art_solver.

02 Feb 2015 1.5

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

03 Feb 2015 1.6

- 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.

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