<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The main purpose of the paper is to present a statistical model-based iterative approach to the problem of image reconstruction from projections. This originally formulated reconstruction algorithm is based on a maximum likelihood method with an objective adjusted to the probability distribution of measured signals obtained from an x-ray computed tomograph with parallel beam geometry. Various forms of objectives are tested. Experimental results show that an objective that is exactly tailored statistically yields the best results, and that the proposed reconstruction algorithm reconstructs an image with better quality than a conventional algorithm with convolution and back-projection.</p></abstract>

The main purpose of the paper is to present a statistical model-based iterative approach to the problem of image reconstruction from projections. This originally formulated reconstruction algorithm is based on a maximum likelihood method with an objective adjusted to the probability distribution of measured signals obtained from an x-ray computed tomograph with parallel beam geometry. Various forms of objectives are tested. Experimental results show that an objective that is exactly tailored statistically yields the best results, and that the proposed reconstruction algorithm reconstructs an image with better quality than a conventional algorithm with convolution and back-projection.

An analytical iterative statistical algorithm for image reconstruction from projections

Institute of Computational Intelligence Częstochowa University of Technology, ul. Armii Krajowej 36, 42-200 Częstochowa, Poland

International Journal of Applied Mathematics and Computer Science

The main purpose of the paper is to present a statistical model-based iterative approach to the problem of image reconstruction from projections. This...

An analytical iterative statistical algorithm for image reconstruction from projections

Published Online: Mar 25, 2014

Page range: 7 - 17

DOI: https://doi.org/10.2478/amcs-2014-0001

Keywords
computed tomography, image reconstruction from projections, statistical reconstruction algorithm.

This content is open access.

An analytical iterative statistical algorithm for image reconstruction from projections

Published Online: Mar 25, 2014

Page range: 7 - 17

DOI: https://doi.org/10.2478/amcs-2014-0001

Keywordscomputed tomography, image reconstruction from projections, statistical reconstruction algorithm.

This content is open access.

Keywords
computed tomography, image reconstruction from projections, statistical reconstruction algorithm.