Simultaneous activity and attenuation reconstruction in emission tomography

  • In single photon emission computed tomography (SPECT) one is interested in reconstructing the activity distribution f of some radiopharmaceutical. The data gathered suffer from attenuation due to the tissue density µ. Each imaged slice incorporates noisy sample values of the nonlinear attenuated Radon transform (formular at this place in the original abstract) Traditional theory for SPECT reconstruction treats µ as a known parameter. In practical applications, however, µ is not known, but either crudely estimated, determined in costly additional measurements or plainly neglected. We demonstrate that an approximation of both f and µ from SPECT data alone is feasible, leading to quantitatively more accurate SPECT images. The result is based on nonlinear Tikhonov regularization techniques for parameter estimation problems in differential equations combined with Gauss-Newton-CG minimization.

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Author:Volker Dicken
Series (Serial Number):NLD Preprints (paper 050)
Document Type:Preprint
Date of Publication (online):2007/07/13
Year of Completion:1998
Publishing Institution:Universität Potsdam
Release Date:2007/07/13
Tag:SPECT; Tikhonov regularization; attenuated Radon transform; nonlinear invers problem; nonlinear optimization; tomogrphy
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
Wissenschaftliche Einrichtungen / Interdisziplinäres Zentrum Dynamik komplexer Systeme
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik