Dm. Higdon et al., FULLY BAYESIAN-ESTIMATION OF GIBBS HYPERPARAMETERS FOR EMISSION COMPUTED-TOMOGRAPHY DATA, IEEE transactions on medical imaging, 16(5), 1997, pp. 516-526
Citations number
43
Categorie Soggetti
Engineering, Biomedical","Radiology,Nuclear Medicine & Medical Imaging
In recent years, many investigators have proposed Gibbs prior models t
o regularize images reconstructed from emission computed tomography da
ta, Unfortunately, hyperparameters used to specify Gibbs priors can gr
eatly influence the degree of regularity imposed by such priors and, a
s a result, numerous procedures have been proposed to estimate hyperpa
rameter values from observed image data, Many of these procedures atte
mpt to maximize the joint posterior distribution on the image scene. T
o implement these methods, approximations to the joint posterior densi
ties are required, because the dependence of the Gibbs partition funct
ion on the hyperparameter values is unknown, In this paper, we use rec
ent results in Markov chain Monte Carlo (MCMC) sampling to estimate th
e relative values of Gibbs partition functions and using these values,
sample from joint posterior distributions on image scenes, This allow
s for a fully Bayesian procedure which does not fix the hyperparameter
s at some estimated or specified value, but enables uncertainty about
these values to be propagated through to the estimated intensities, We
utilize realizations from the posterior distribution for determining
credible regions for the intensity of the emission source. We consider
two different Markov random field (MRF) models-the power model and a
line-site model. As applications we estimate the posterior distributio
n of source intensities from computer simulated data as well as data c
ollected from a physical single photon emission computed tomography (S
PECT) phantom.