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Conference Papers Year : 2018

SYMMETRIC UPWIND SCHEME FOR DISCRETE WEIGHTED TOTAL VARIATION

Abstract

This paper is devoted to the study of the discrete formulations of the weighted Total Variation (TV) based on upwind schemes that have been proposed for imaging problems in a local setting by Chambolle and al. in 2011 and in a non-local setting for graphs and point-clouds by Elmoataz et al. in 2008. We focus on two new symmetric formulations based on the euclidean and infinite norms respectively and propose a dedicated optimization algorithm to solve convex problems based on such TV penalties. We demonstrate the theoretical and practical interest of such formulations for image processing tasks.
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Dates and versions

hal-01629413 , version 1 (06-11-2017)

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Sonia Tabti, Julien Rabin, Abderrahim Elmoataz. SYMMETRIC UPWIND SCHEME FOR DISCRETE WEIGHTED TOTAL VARIATION. 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Apr 2018, calgary, Canada. ⟨10.1109/ICASSP.2018.8461736⟩. ⟨hal-01629413⟩
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