# Numerical Evaluation of the Image Space Reconstruction Algorithm

### Tomohiro Aoyagi, Kouichi Ohtsubo

#### 2024

#### Abstract

In medical imaging modality, such as X-ray computerized tomography (CT), positron emission tomography (PET) and single photon emission computed tomography (SPECT), image reconstruction from projection is to produce an image of a two-dimensional object from estimates of its line integrals along a finite number of lines of known locations. The method of tomographic image reconstruction from projection can be formulated with the Fredholm integral equation of the first kind, mathematically. 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 the 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 shown that the error decreases with increasing the number of detectors, views and iterations. In addition, the effect of the relaxation parameter, the weighting factor and the noise to the reconstructed image are analysed.

Download#### Paper Citation

#### in Harvard Style

Aoyagi T. and Ohtsubo K. (2024). **Numerical Evaluation of the Image Space Reconstruction Algorithm**. In *Proceedings of the 12th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS*; ISBN 978-989-758-686-6, SciTePress, pages 78-85. DOI: 10.5220/0012432100003651

#### in Bibtex Style

@conference{photoptics24,

author={Tomohiro Aoyagi and Kouichi Ohtsubo},

title={Numerical Evaluation of the Image Space Reconstruction Algorithm},

booktitle={Proceedings of the 12th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS},

year={2024},

pages={78-85},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0012432100003651},

isbn={978-989-758-686-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 12th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS

TI - Numerical Evaluation of the Image Space Reconstruction Algorithm

SN - 978-989-758-686-6

AU - Aoyagi T.

AU - Ohtsubo K.

PY - 2024

SP - 78

EP - 85

DO - 10.5220/0012432100003651

PB - SciTePress