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Journal Articles Applied Mathematics and Optimization Year : 2013

Analysis of a new variational model to restore point-like and curve-like singularities in imaging

Laure Blanc-Féraud
Daniele Graziani
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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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Dates and versions

inria-00522098 , version 1 (29-09-2010)
inria-00522098 , version 2 (04-02-2011)
inria-00522098 , version 3 (15-02-2011)
inria-00522098 , version 4 (12-09-2012)
inria-00522098 , version 5 (14-09-2012)

Identifiers

  • HAL Id : inria-00522098 , version 5

Cite

Gilles Aubert, Laure Blanc-Féraud, Daniele Graziani. Analysis of a new variational model to restore point-like and curve-like singularities in imaging. Applied Mathematics and Optimization, 2013, 67, pp.73-96. ⟨inria-00522098v5⟩
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