Numerical analysis for image space reconstruction algorithm

Tomohiro Aoyagi; Kouichi Ohtsubo

doi:10.1117/12.3007904

20 September 2023 Numerical analysis for image space reconstruction algorithm

Tomohiro Aoyagi, Kouichi Ohtsubo

Proceedings Volume 12608, Biomedical Imaging and Sensing Conference; 126080Q (2023) https://doi.org/10.1117/12.3007904
Event: Optics and Photonics International Congress, 2023, Yokohama, Japan

Abstract

In mathematically the method of tomographic image reconstruction from projection can be formulated by the Fredholm integral equation of the first kind. It is necessary to solve the equation. But it is difficult in general to seek the strict solution. By discretizing the image reconstruction problem, we applied Image Space Reconstruction Algorithm (ISRA) to the problem and evaluated the image quality. We computed the normalized mean square error (NMSE) in reconstructed image. We have showed that the error decreases with increasing the number of detectors, views and iterations. Also, we have showed the effect of the relaxation parameter and the noise to the reconstructed image.

Citation Download Citation

Tomohiro Aoyagi and Kouichi Ohtsubo "Numerical analysis for image space reconstruction algorithm", Proc. SPIE 12608, Biomedical Imaging and Sensing Conference, 126080Q (20 September 2023); https://doi.org/10.1117/12.3007904

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