Three-dimensional reconstruction from cone beam projection by a block iterative technique

Francoise Peyrin; Robert Goutte; Michel Amiel

doi:10.1117/12.27591

1 July 1991 Three-dimensional reconstruction from cone beam projection by a block iterative technique

Francoise Peyrin, Robert Goutte, Michel Amiel

Proceedings Volume 1443, Medical Imaging V: Image Physics; (1991) https://doi.org/10.1117/12.27591
Event: Medical Imaging '91, 1991, San Jose, CA, United States

Abstract

This work is concerned with truly 3D X-ray tomography. The method consists in the acquisition of an object's radiographs for different positions of an X-ray cone beam source. The image is then obtained by solving a 3D reconstruction problem from cone beam projections. When considering a series expansion approach, the problem is equivalent to the resolution of a linear system, presenting very particular characteristics in size and sparseness. The authors investigate the use of block iterative techniques which allow an efficient implementation of the algorithm on a parallel computer. Three different block iterative reconstruction schemes are developed. They can be used with or without simple constraints on the solution (positivity, amplitude, support...). Results obtained on simulated images allow comparison to the convergence properties of the different methods. Contrary to the conventional case in truly 3D X-ray tomography, different trajectories of the cone beam source are considered and the first results obtained on simulated objects are discussed.

Citation Download Citation

Francoise Peyrin, Robert Goutte, and Michel Amiel "Three-dimensional reconstruction from cone beam projection by a block iterative technique", Proc. SPIE 1443, Medical Imaging V: Image Physics, (1 July 1991); https://doi.org/10.1117/12.27591

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