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

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 isolated 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 in image processing.
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https://hal.archives-ouvertes.fr/hal-00201996
Contributor : Jean-François Aujol <>
Submitted on : Thursday, January 3, 2008 - 5:33:16 PM
Last modification on : Thursday, April 15, 2021 - 3:31:55 AM

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  • HAL Id : hal-00201996, 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. International Journal of Computer Vision, Springer Verlag, 2005, 65 (1-2), p. 29-42. ⟨hal-00201996⟩

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