Geometry-Texture Decomposition/Reconstruction Using a Proximal Interior Point Algorithm

Marie-Caroline Corbineau; Emilie Chouzenoux; Jean-Christophe Pesquet

Geometry-Texture Decomposition/Reconstruction Using a Proximal Interior Point Algorithm

Marie-Caroline Corbineau ¹ Emilie Chouzenoux ^{2, 1} Jean-Christophe Pesquet ¹

1 GALEN-POST - Organ Modeling through Extraction, Representation and Understanding of Medical Image Content

Inria Saclay - Ile de France

2 LIGM - Laboratoire d'Informatique Gaspard-Monge

Abstract : The geometry-texture decomposition of images produced by X-Ray Computed Tomography (CT) is a challenging inverse problem which is usually performed in two steps: reconstruction and decomposition. Decomposition can be used for instance to produce an approximate segmentation of the image, but this one can be compromised by artifacts and noise arising from the acquisition and reconstruction processes. We propose a geometry-texture decomposition based on a TV-Laplacian model, well-suited for segmentation and edge detection. The corresponding joint reconstruction and decomposition task from CT data is then formulated as a convex constrained minimization problem. We use our recently introduced proximal interior point method to solve this inverse problem in a reliable manner. Numerical experiments on realistic images of material samples illustrate the practical efficiency of the proposed approach. Our algorithm indeed compares favorably with a state-of-the-art method.

Keywords : Geometry-texture decomposition Interior point methods Proximal algorithm Computed tomography

Document type :

Conference papers

Domain :

Engineering Sciences [physics] / Signal and Image processing

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https://hal.archives-ouvertes.fr/hal-01863408
Contributor : Marie-Caroline Corbineau <>
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