Summary

International Symposium on Nonlinear Theory and its Applications

2009

Session Number:C2L-C

Session:

Number:C2L-C2

Dynamics of Continuous-Time Image Reconstruction System for Computed Tomography

Omar Abou Al-Ola,  Ken’ichi Fujimoto,  Tetsuya Yoshinaga,  

pp.-

Publication Date:2009/10/18

Online ISSN:2188-5079

DOI:10.34385/proc.43.C2L-C2

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Summary:
This paper investigates dynamical properties of a continuous-time image reconstruction (CIR) system for computed tomography. We verify that an objective function of the inverse regularization problem decreases in time along the solutions to differential equations describing the CIR system. Moreover we illustrate that the system could reconstruct images with ensuring positive pixel values for simulated projection data.