Topological Optimization with the p-Laplacian Operator and an Application in Image Processing. (15th September 2009)

• Record Type: Journal Article
• Authors: Sy, Alassane; Seck, Diaraf
• Other Names: Perera Kanishka Academic Editor.
• Is Part Of: Boundary value problems. Volume 2009(2009)
• Publication Date: 2009-09-15
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2009/896813
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : We focus in this paper on the theoretical and numerical aspect os image processing. We consider a non linear boundary value problem (thep -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.