LINEAR OVER RANGES ITERATIVE ALGORITHMS FOR IMAGE RECONSTRUCTION IN ELECTRICAL CAPACITANCE TOMOGRAPHY
Waldemar Smolik
W.Smolik@ire.pw.edu.plWarsaw University of Technology, Faculty of Electronics and Information Technology, The Institute of Radioelectronics and Multimedia Technology, Nuclear and Medical Electronics Division (Poland)
Jacek Kryszyn
Warsaw University of Technology, Faculty of Electronics and Information Technology, The Institute of Radioelectronics and Multimedia Technology, Nuclear and Medical Electronics Division (Poland)
Abstract
The paper concerns the non-linear algorithms for image reconstruction in electrical capacitance tomography for which Jacobi matrix computation time is very long. The paper presents the idea of an iterative linearization in nonlinear problems, which leads to a reduction in the number of steps calculating Jacobi matrix. The linear Landweber algorithm with sensitivity matrix updating and non-linear Levenberg-Marquardt algorithm with Jacobi matrix updating in selected steps only were presented.
Keywords:
non-linear problem, iterative linearization, electrical tomography, image reconstruction from projectionsReferences
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Authors
Waldemar SmolikW.Smolik@ire.pw.edu.pl
Warsaw University of Technology, Faculty of Electronics and Information Technology, The Institute of Radioelectronics and Multimedia Technology, Nuclear and Medical Electronics Division Poland
Authors
Jacek KryszynWarsaw University of Technology, Faculty of Electronics and Information Technology, The Institute of Radioelectronics and Multimedia Technology, Nuclear and Medical Electronics Division Poland
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