Eigenvalue and Eigenvector Expansions for Image Reconstruction

Tomohiro Aoyagi; Kouichi Ohtsubo

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Paper

Eigenvalue and Eigenvector Expansions for Image Reconstruction

Topics: Biomedical Optics

In Proceedings of the 10th International Conference on Photonics, Optics and Laser Technology PHOTOPTICS - Volume 1, 111-115, 2022

Authors: Tomohiro Aoyagi and Kouichi Ohtsubo

Affiliation: Faculty of Information Science and Arts, Toyo University, 2100 Kujirai, Saitama, Japan

Keyword(s): Computerized Tomography, Eigenvalue, Eigenvector, Condition Number, Jacobi Method, GARDS.

Abstract: In medical imaging modality, such as X-ray computerized tomography, image reconstruction from projection is to produce the density distribution within the human body from estimates of its line integrals along a finite number of lines of known locations. Generalized Analytic Reconstruction from Discrete Samples (GARDS) can be derived by the Singular Value Decomposition analysis. In this paper, by discretizing the image reconstruction problem, we applied GARDS to the problem and evaluated the image quality. We have computed the condition number in the case of changing the views and the normalized mean square error in the case of changing the views and the number of the eigenvectors. We have showed that the error decreases with increasing the number of eigenvectors and the number of views.

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Paper citation in several formats:

Aoyagi, T. and Ohtsubo, K. (2022). Eigenvalue and Eigenvector Expansions for Image Reconstruction. In Proceedings of the 10th International Conference on Photonics, Optics and Laser Technology - PHOTOPTICS; ISBN 978-989-758-554-8; ISSN 2184-4364, SciTePress, pages 111-115. DOI: 10.5220/0010807900003121

@conference{photoptics22,
author={Tomohiro Aoyagi. and Kouichi Ohtsubo.},
title={Eigenvalue and Eigenvector Expansions for Image Reconstruction},
booktitle={Proceedings of the 10th International Conference on Photonics, Optics and Laser Technology - PHOTOPTICS},
year={2022},
pages={111-115},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010807900003121},
isbn={978-989-758-554-8},
issn={2184-4364},
}

TY - CONF

JO - Proceedings of the 10th International Conference on Photonics, Optics and Laser Technology - PHOTOPTICS
TI - Eigenvalue and Eigenvector Expansions for Image Reconstruction
SN - 978-989-758-554-8
IS - 2184-4364
AU - Aoyagi, T.
AU - Ohtsubo, K.
PY - 2022
SP - 111
EP - 115
DO - 10.5220/0010807900003121
PB - SciTePress