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http://hdl.handle.net/10553/52483
Title: | Affine invariant distance using multiscale analysis | Authors: | Alvarez, Luis Cuenca Hernández, Carmelo Esclarín, Julio Mazorra, Luis Morel, J.-M. |
UNESCO Clasification: | 120601 Construcción de algoritmos 120602 Ecuaciones diferenciales 120326 Simulación 220990 Tratamiento digital. Imágenes |
Keywords: | Affine invariance Distance map Multiscale analysis Scale space |
Issue Date: | 2016 | Journal: | Journal of Mathematical Imaging and Vision | Abstract: | In this paper we introduce an affine invariant distance definition from a (Formula presented.) point to the boundary of a bounded shape using morphological multiscale analysis. We study the mathematical behavior of this distance by examining separately the cases of convex and non-convex shapes. We prove that the proposed distance is bounded in the convex hull of the shape and infinite otherwise. A numerical scheme is given as well as experiments illustrating the behavior of the affine invariant distance. | URI: | http://hdl.handle.net/10553/52483 | ISSN: | 0924-9907 | DOI: | 10.1007/s10851-015-0585-9 | Source: | Journal of Mathematical Imaging and Vision[ISSN 0924-9907],v. 55, p. 199-209 |
Appears in Collections: | Artículos |
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