Topological Optimization with the p-Laplacian Operator and an Application in Image Processing

Autor: Alassane Sy, Diaraf Seck
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Zdroj: Boundary Value Problems, Vol 2009 (2009)
Druh dokumentu: article
ISSN: 1687-2762
1687-2770
DOI: 10.1155/2009/896813
Popis: We focus in this paper on the theoretical and numerical aspect os image processing. We consider a non linear boundary value problem (the p-Laplacian) from which we will derive the asymptotic expansion of the Mumford-Shah functional. We give a theoretical expression of the topological gradient as well as a numerical confirmation of the result in the restoration and segmentation of images.
Databáze: Directory of Open Access Journals
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