TY  - INPR
A1  - Dicken, Volker
T1  - Simultaneous activity and attenuation reconstruction in emission tomography
N2  - 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.
T3  - NLD Preprints - 50 
KW  - SPECT
KW  - tomogrphy
KW  - attenuated Radon transform
KW  - nonlinear invers problem
KW  - Tikhonov regularization
KW  - nonlinear optimization
Y1  - 2007
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/1341
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-14747
ER  -