Error-splitting forward model for iterative reconstruction in X-ray computed tomography and application with Gauss–Markov–Potts prior

C Chapdelaine, A Mohammad-Djafari… - IEEE Transactions …, 2018 - ieeexplore.ieee.org
In order to enhance image quality for controlling the interior of a volume in industry, model-
based iterative reconstruction (MBIR) methods in three-dimensional (3-D) X-ray computed …

Performance comparison of Bayesian iterative algorithms for three classes of sparsity enforcing priors with application in computed tomography

M Dumitru, L Wang, N Gac… - … Conference on Image …, 2017 - ieeexplore.ieee.org
The piecewise constant or homogeneous image reconstruction in the context of X-ray
Computed Tomography is considered within a Bayesian approach. More precisely, the …

Bayesian 3D X-ray computed tomography with a hierarchical prior model for sparsity in Haar transform domain

L Wang, A Mohammad-Djafari, N Gac, M Dumitru - Entropy, 2018 - mdpi.com
In this paper, a hierarchical prior model based on the Haar transformation and an
appropriate Bayesian computational method for X-ray CT reconstruction are presented …

Bayesian method with sparsity enforcing prior of dual-tree complex wavelet transform coefficients for X-ray CT image reconstruction

L Wang, A Mohammad-Djafari… - 2017 25th European …, 2017 - ieeexplore.ieee.org
In this paper, a Bayesian method with a hierarchical sparsity enforcing prior model for Dual-
Tree Complex Wavelet Transform (DT-CWT) coefficients is proposed. This model is used for …

Model selection in the sparsity context for inverse problems in Bayesian framework

M Dumitru, L Wang, A Mohammad-Djafari… - Bayesian Inference and …, 2018 - Springer
The Bayesian approach is considered for inverse problems with a typical forward model
accounting for errors and a priori sparse solutions. Solutions with sparse structure are …

Comparaison des performances d'algorithmes itératifs bayésiens basés sur trois classes de modèles a priori parcimonieux appliqués à la reconstruction …

M Dumitru, L Wang, N Gac… - 26eme Colloque GRETSI …, 2017 - hal.science
Résumé The piecewise constant or homogeneous image reconstruction in the context of X-
ray Computed Tomography is considered within a Bayesian approach. More precisely, the …