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Regularized Kalman filtering in dynamic SPECT
Author(s) -
Celler A.,
Qranfal J.,
Trummer M.R.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700819
Subject(s) - tikhonov regularization , underdetermined system , kalman filter , regularization (linguistics) , algorithm , computer science , bounded function , mathematics , mathematical optimization , artificial intelligence , inverse problem , mathematical analysis
Abstract This paper presents an algorithm for reconstructing a dynamic SPECT image. Projections of a time‐dependent activity are acquired in discrete time frames. This leads to a highly underdetermined set of equations for the images corresponding to each time frame. We reconstruct these images using a Kalman filter algorithm which helps is processing the time‐varying information, To obtain meaningful results a positivity constraint must be enforced. Due to the ill‐posedness of the problem, regularization is required. We compared Tikhonov and total bounded variation regularization schemes, and found the latter to be more effective, producing superior results. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)