Gauss-Markov-Potts Priors for Images in Computer Tomography Resulting to Joint Optimal Reconstruction and segmentation

作者: Ali Mohammad-Djafari

DOI:

关键词:

摘要: In many applications of Computed Tomography (CT), we know that the object under test is composed a finite number materials meaning images to be reconstructed are homogeneous area. To account for this prior knowledge, propose family Gauss-Markov fields with hidden Potts label fields. Then, using these models in Bayesian inference framework, able jointly reconstruct image and segment it an optimal way. paper, first present models, then appropriate computational methods (MCMC or Variational Bayes) compute Joint Maximum A Posteriori (JMAP) posterior mean estimators. We finally provide few results showing efficiency proposed CT very limited angle projections.

参考文章(33)
Hacheme Ayasso, Ali Mohammad-Djafari, Variational Bayes with Gauss-Markov-Potts Prior Models for Joint Image Restoration and Segmentation. international conference on computer vision theory and applications. pp. 571- 576 ,(2008)
J. W. Miskin, D.J.C. MacKay, Ensemble Learning for blind source separation Independent Component Analysis. pp. 209- 233 ,(2001) , 10.1017/CBO9780511624148.009
Tommi S Jaakkola, Michael I Jordan, None, Bayesian parameter estimation via variational methods Statistics and Computing. ,vol. 10, pp. 25- 37 ,(2000) , 10.1023/A:1008932416310
Zoubin Ghahramani, Michael Jordan, None, Factorial Hidden Markov Models neural information processing systems. ,vol. 29, pp. 472- 478 ,(1995) , 10.1023/A:1007425814087
S Kiebel, K Friston, J Ashburner, T Nichols, W Penny, Statistical Parametric Mapping: The Analysis of Functional Brain Images (2007). ,(2007)
Ali Mohammad-Djafari, Lionel Robillard, Hierarchical Markovian models for 3D Computed Tomography in non destructive testing applications european signal processing conference. pp. 1- 5 ,(2006)
O. Féron, B. Duchêne, A. Mohammad-Djafari, Microwave imaging of piecewise constant objects in a 2D-TE configuration International Journal of Applied Electromagnetics and Mechanics. ,vol. 26, pp. 167- 174 ,(2007) , 10.3233/JAE-2007-905
A. Mohammad-Djafari, Hierarchical Markov modeling for fusion of X ray radiographic data and anatomical data in computed tomography international symposium on biomedical imaging. pp. 401- 404 ,(2002) , 10.1109/ISBI.2002.1029279
William D. Penny, Richard M. Everson, Stephen J. Roberts, Hidden Markov Independent Component Analysis Advances in Independent Component Analysis. pp. 3- 22 ,(2000) , 10.1007/978-1-4471-0443-8_1
Ali Mohammad-Djafari, Bayesian inference for inverse problems in signal and image processing and applications International Journal of Imaging Systems and Technology. ,vol. 16, pp. 209- 214 ,(2006) , 10.1002/IMA.20081