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X-Rays Tomographic Reconstruction Images using Proximal Methods based on L 1 Norm and TV Regularization
Author(s) -
A. Allag,
Redouane Drai,
Abdessalem Benammar,
Tarek Boutkedjirt
Publication year - 2018
Publication title -
procedia computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.334
H-Index - 76
ISSN - 1877-0509
DOI - 10.1016/j.procs.2018.01.119
Subject(s) - regularization (linguistics) , tomographic reconstruction , computer science , total variation denoising , inverse problem , algorithm , inverse , tomography , norm (philosophy) , iterative reconstruction , computer vision , artificial intelligence , image (mathematics) , mathematics , optics , physics , mathematical analysis , geometry , law , political science
In this paper, sparse regularization methods are applied to X-rays tomographic reconstruction 2D images. These methods are based on total variation algorithm associated to L1 norm and proximal functions. The inverse problem can therefore be regularized by using total variation regularisation based on proximal functions such as Forward-Backward, Douglas-Rachford and Chambolle-Pock approaches. We applied this method to non-destructive evaluation of material in the case of 2D reconstruction of X-rays tomographic images containing real defects.

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