Analysis of a New Variational Model to Restore Point-Like and Curve-Like Singularities in Imaging |
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| Authors: | Gilles Aubert Laure Blanc-Féraud Daniele Graziani |
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| Institution: | 1. Laboratoire J.A. Dieudonné, Université de Nice Sophia Antipolis, Parc Valrose, 06108, Nice Cedex 2, France
2. Morpheme CNRS/INRIA/UNSA Sophia Antipolis, Inria, 2004 route des Lucioles, BP 93, 06902, Sophia Antipolis Cedex, France
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| Abstract: | The paper is concerned with the analysis of a new variational model to restore point-like and curve-like singularities in biological images. To this aim we investigate the variational properties of a suitable energy which governs these pathologies. Finally in order to realize numerical experiments we minimize, in the discrete setting, a regularized version of this functional by fast descent gradient scheme. |
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