Implementation and numerical evaluation for multiplicative algebraic reconstruction techniques

Tomohiro Aoyagi; Kouichi Ohtsubo; Nobuo Aoyagi

doi:10.1117/12.2573293

15 June 2020 Implementation and numerical evaluation for multiplicative algebraic reconstruction techniques

Tomohiro Aoyagi, Kouichi Ohtsubo, Nobuo Aoyagi

Proceedings Volume 11521, Biomedical Imaging and Sensing Conference 2020; 115210O (2020) https://doi.org/10.1117/12.2573293
Event: SPIE Technologies and Applications of Structured Light, 2020, Yokohama, Japan

Abstract

Multiplicative algebraic reconstruction techniques (MART) is one of the method of projections onto convex sets (POCS) for solving a system of simultaneous equation. The image reconstruction problem can be discretized and depends on seeking the inverse of some matrix. We apply the MART to image reconstruction problems and evaluate the image quality in computer simulations. It is showed that the error decreases with increasing the number of projections and the number of iterations. It is also showed that the error decreases with increasing the value of initial data.

Citation Download Citation

Tomohiro Aoyagi, Kouichi Ohtsubo, and Nobuo Aoyagi "Implementation and numerical evaluation for multiplicative algebraic reconstruction techniques", Proc. SPIE 11521, Biomedical Imaging and Sensing Conference 2020, 115210O (15 June 2020); https://doi.org/10.1117/12.2573293

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