DocumentCode :
2909976
Title :
Regularization parameter selection for Bayesian reconstruction of attenuation map
Author :
Panin, V.Y. ; Zeng, G.L. ; Gullberg, G.T.
Author_Institution :
Dept. of Radiol., Utah Univ., Salt Lake City, UT, USA
Volume :
3
fYear :
1998
fDate :
1998
Firstpage :
1594
Abstract :
Previously the authors developed algorithms to obtain transmission reconstructions from truncated projections and from emission data without transmission measurements. The optimal basis set of “knowledge set” was used to create an approximate attenuation map, and the expansion coefficients were estimated using optimization algorithms. Since a truncated expansion does not represent an image precisely and the projections of the basis vectors are not orthogonal, the estimated coefficients can be unstable in the presence of systematic errors. A constraint, based on distribution of the expansion coefficient, is considered here to regularize the estimation problem. The parameter selection methods based on different assumptions are applied to find the optimal regularization parameter. The selected regularization parameter obtained from a projection data set has been shown to provide satisfactory reconstruction results
Keywords :
Bayes methods; gamma-ray absorption; image reconstruction; measurement errors; medical image processing; optimisation; parameter estimation; single photon emission computed tomography; Bayesian reconstruction; SPECT; attenuation map; basis vectors; expansion coefficients; medical diagnostic imaging; nuclear medicine; optimization algorithms; parameter selection methods; regularization parameter selection; systematic errors; Attenuation; Bayesian methods; Cities and towns; Detectors; Eigenvalues and eigenfunctions; Image reconstruction; Radiology; Transmission line matrix methods; USA Councils; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Nuclear Science Symposium, 1998. Conference Record. 1998 IEEE
Conference_Location :
Toronto, Ont.
ISSN :
1082-3654
Print_ISBN :
0-7803-5021-9
Type :
conf
DOI :
10.1109/NSSMIC.1998.773847
Filename :
773847
Link To Document :
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