A new variational method for preserving point-like and curve-like singularities in 2d images

Daniele Graziani; Laure Blanc-Féraud; Gilles Aubert

inria-00592603, version 1

A new variational method for preserving point-like and curve-like singularities in 2d images

Daniele Graziani () ¹, Laure Blanc-Féraud () ¹, Gilles Aubert ()^a^, 2

International Conference on Acoustics, Speech and Signal Processing (2011)

Résumé : We propose a new variational method to restore point-like and curve-like singularities in 2-D images. As points and open curves are fine structures, they are difficult to restore by means of first order derivative operators computed in the noisy image. In this paper we propose to use the Laplacian operator of the observed intensity, since it becomes singular at points and curves. Then we propose to restore these singularities by introducing suitable regularization involving the l-1-norm of the Laplacian operator. Results are shown on synthetic an real data.

a – Université de Nice Sophia-Antipolis
1 : ARIANA (INRIA Sophia Antipolis / Laboratoire I3S)
INRIA – Université Nice Sophia Antipolis [UNS] – CNRS : UMR7271
2 : Laboratoire Jean Alexandre Dieudonné (JAD)
CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS]

inria-00592603, version 1
http://hal.inria.fr/inria-00592603
oai:hal.inria.fr:inria-00592603
Contributeur : Mikael Carlavan <>
Soumis le : Vendredi 13 Mai 2011, 09:06:07
Dernière modification le : Vendredi 13 Mai 2011, 10:03:15

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