A one-shot inpainting algorithm based on the topological asymptotic analysis
Document title: A one-shot inpainting algorithm based on the topological asymptotic analysis
Journal: Computational & applied mathematics
Database: PERIÓDICA
System number: 000310696
ISSN: 0101-8205
Authors: 1
Institutions: 1Universite Paul Sabatier, Laboratoire MIP, Toulouse, Haute-Garonne. Francia
Year:
Volumen: 25
Number: 2-3
Pages: 251-267
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract The aim of this article is to propose a new method for the inpainting problem. Inpainting is the problem of filling-in holes in images. We consider in this article the crack localization problem, which can be solved using the Dirichlet to Neumann approach and the topological gradient. In a similar way, we can define a Dirichlet and a Neumann inpainting problem. We then define a cost function measuring the discrepancy between the two corresponding solutions. The minimization is done using the topological asymptotic analysis, and is performed in only one iteration. The optimal solution provides the best localization of the missing edges, and it is then easy to inpaint the holes
Disciplines: Matemáticas,
Ciencias de la computación
Keyword: Procesamiento de datos,
Reconstrucción de imágenes,
Análisis asintótico topológico,
Problema de conductividad inversa
Keyword: Mathematics,
Computer science,
Data processing,
Image reconstruction,
Topological asymptotic analysis,
Inverse conductivity problem
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