Iterative PET Image Reconstruction Using Translation Invariant Wavelet Transform.

Jian Zhou 1, 2 Lotfi Senhadji 1, 2, * Jean-Louis Coatrieux 1, 2, * Limin Luo 2, 3, *
* Auteur correspondant
1 LTSI - Laboratoire Traitement du Signal et de l'Image
2 CRIBS - Centre de Recherche en Information Biomédicale sino-français
3 LIST - Laboratory of Image Science and Technology [Nanjing]
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 : Emission tomography expectation-maximization image reconstruction maximum a posteriori translation invariant wavelet transform
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Article dans une revue
IEEE Transactions on Nuclear Science, Institute of Electrical and Electronics Engineers, 2009, 56 (1), pp.116-128. 〈10.1109/TNS.2008.2009445〉
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Soumis le : dimanche 15 février 2009 - 14:29:23
Dernière modification le : mardi 3 juillet 2018 - 10:58:04
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Jian Zhou, Lotfi Senhadji, Jean-Louis Coatrieux, Limin Luo. Iterative PET Image Reconstruction Using Translation Invariant Wavelet Transform.. IEEE Transactions on Nuclear Science, Institute of Electrical and Electronics Engineers, 2009, 56 (1), pp.116-128. 〈10.1109/TNS.2008.2009445〉. 〈inserm-00361436〉

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