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Simultaneous reconstruction and segmentation for tomography data
Author(s) -
Ramlau Ronny,
Klann Esther,
Ring Wolfgang
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700582
Subject(s) - piecewise , segmentation , tomography , level set (data structures) , artificial intelligence , data set , single photon emission computed tomography , computer science , algorithm , set (abstract data type) , inversion (geology) , pattern recognition (psychology) , mathematics , computer vision , physics , nuclear medicine , mathematical analysis , geology , medicine , optics , programming language , paleontology , structural basin
We present a Mumford‐Shah like approach for the inversion of CT and SPECT‐data (Single Photon Emission Computerized Tomography). With this approach we aim at the simultaneous reconstruction and segmentation of activity and density distribution from given tomography data. We assume the functions to be piecewise constant with respect to a set of contours. Shape sensitivity analysis is used to find a descent direction for the cost functional which leads to an update formula for the contour in a level set framework. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)