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Detecting codimension-two objects in an image with Ginzburg-Landau models

Gilles Aubert 1 Jean-François Aujol Laure Blanc-Féraud
1 ARIANA - Inverse problems in earth monitoring
CRISAM - Inria Sophia Antipolis - Méditerranée , Laboratoire I3S - SIS - Signal, Images et Systèmes
Abstract : In this paper, we propose a new mathematical model for detecting in an image singularities of codimension greater than or equal to two. This means we want to detect points in a 2-D image or points and curves in a 3-D image. We drew one's inspiration from Ginzburg-Landau (G-L) models which have proved their efficiency for modeling many phenomena in physics. We introduce the model, state its mathematical properties and give some experimental results demonstrating its capability.
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https://hal.inria.fr/inria-00070744
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Submitted on : Friday, May 19, 2006 - 9:29:29 PM
Last modification on : Wednesday, October 14, 2020 - 4:22:44 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:49:58 PM

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  • HAL Id : inria-00070744, version 1

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Gilles Aubert, Jean-François Aujol, Laure Blanc-Féraud. Detecting codimension-two objects in an image with Ginzburg-Landau models. RR-5254, INRIA. 2004, pp.28. ⟨inria-00070744⟩

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