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

Daniele Graziani 1 Laure Blanc-Féraud 1 Gilles Aubert 2
1 ARIANA - Inverse problems in earth monitoring
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - SIS - Signal, Images et Systèmes
Abstract : 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.
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https://hal.inria.fr/inria-00592603
Contributor : Mikael Carlavan <>
Submitted on : Friday, May 13, 2011 - 9:06:07 AM
Last modification on : Monday, October 12, 2020 - 10:30:17 AM
Long-term archiving on: : Friday, November 9, 2012 - 11:25:24 AM

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Daniele Graziani, Laure Blanc-Féraud, Gilles Aubert. A new variational method for preserving point-like and curve-like singularities in 2D images. International Conference on Acoustics, Speech and Signal Processing, 2011, Prague, Czech Republic. ⟨inria-00592603⟩

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