A one-shot inpainting algorithm based on the topological asymptotic analysis
Título del documento: A one-shot inpainting algorithm based on the topological asymptotic analysis
Revista: Computational & applied mathematics
Base de datos: PERIÓDICA
Número de sistema: 000310696
ISSN: 0101-8205
Autores: 1
Instituciones: 1Universite Paul Sabatier, Laboratoire MIP, Toulouse, Haute-Garonne. Francia
Año:
Volumen: 25
Número: 2-3
Paginación: 251-267
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés 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
Disciplinas: Matemáticas,
Ciencias de la computación
Palabras clave: 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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