DocumentCode :
1156975
Title :
Iterative PET Image Reconstruction Using Translation Invariant Wavelet Transform
Author :
Zhou, Jian ; Senhadji, Lotfi ; Coatrieux, Jean-Louis ; Luo, Limin
Author_Institution :
INSERM, Rennes
Volume :
56
Issue :
1
fYear :
2009
Firstpage :
116
Lastpage :
128
Abstract :
The present work describes a Bayesian maximum a posteriori (MAP) method using a statistical multiscale wavelet prior model. Rather than using the orthogonal discrete wavelet transform (DWT), this prior is built on the translation invariant wavelet transform (TIWT). The statistical modeling of wavelet coefficients relies on the generalized Gaussian distribution. Image reconstruction is performed in spatial domain with a fast block sequential iteration algorithm. We study theoretically the TIWT MAP method by analyzing the Hessian of the prior function to provide some insights on noise and resolution properties of image reconstruction. We adapt the key concept of local shift invariance and explore how the TIWT MAP algorithm behaves with different scales. It is also shown that larger support wavelet filters do not offer better performance in contrast recovery studies. These theoretical developments are confirmed through simulation studies. The results show that the proposed method is more attractive than other MAP methods using either the conventional Gibbs prior or the DWT-based wavelet prior.
Keywords :
Gaussian distribution; image reconstruction; iterative methods; maximum likelihood estimation; positron emission tomography; wavelet transforms; Bayesian maximum a posteriori method; Gibbs prior; fast block sequential iteration algorithm; generalized Gaussian distribution; iterative PET image reconstruction; local shift invariance; orthogonal discrete wavelet transform; resolution properties; statistical modeling; statistical multiscale wavelet prior model; translation invariant wavelet transform; wavelet filters; Bayesian methods; Discrete wavelet transforms; Gaussian distribution; Image analysis; Image reconstruction; Image resolution; Positron emission tomography; Spatial resolution; Wavelet coefficients; Wavelet transforms; Emission tomography; expectation-maximization; image reconstruction; maximum a posteriori; translation invariant; wavelet transform;
fLanguage :
English
Journal_Title :
Nuclear Science, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9499
Type :
jour
DOI :
10.1109/TNS.2008.2009445
Filename :
4782151
Link To Document :
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