Title :
Relations between system matrices and the complete data space in MLEM using the Kullback-Leibler distance
Author :
Huh, Sam S. ; Clinthorne, Neal H. ; Haefner, A. ; Chivers, D. ; Mihailescu, Lucian ; Vetter, K.
Author_Institution :
Appl. Nucl. Phys. Program, Lawrence Berkeley Nat. Lab., Berkeley, CA, USA
fDate :
Oct. 27 2013-Nov. 2 2013
Abstract :
We present a quantitative method for relating system matrices to the complete-data space in maximum likelihood expectation maximization (MLEM) using the Kullback-Leibler distance. We show that a more accurate system matrix has a smaller Kullback-Leibler (KL) distance. System matrices of a coded aperture imaging system were used for comparison. The calculation of the KL distance is based on the Monte Carlo integral. We note that system matrices for the KL distance evaluation should be generated by underlying physics processes.
Keywords :
Monte Carlo methods; image reconstruction; matrix algebra; maximum likelihood estimation; Kullback-Leibler distance; Monte Carlo integral; coded aperture imaging system; complete-data space; image reconstruction; maximum likelihood expectation maximization; system matrices; Apertures; Attenuation; Detectors; Imaging; Monte Carlo methods; Position measurement; Ray tracing;
Conference_Titel :
Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC), 2013 IEEE
Conference_Location :
Seoul
Print_ISBN :
978-1-4799-0533-1
DOI :
10.1109/NSSMIC.2013.6829795
