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Title: | Recursivity and PDE's in image processing | Authors: | Alvarez, Luis Deriche, Rachid Santana Pérez, Francisco J |
UNESCO Clasification: | 120601 Construcción de algoritmos 120602 Ecuaciones diferenciales 120326 Simulación 220990 Tratamiento digital. Imágenes 120304 Inteligencia artificial |
Keywords: | Image processing Nonlinear filters Nonlinear equations Computer vision Filtering, et al |
Issue Date: | 2000 | Project: | "Proyecto no ULPGC[Acciones Integradas Proyect HF1998 0098–Projet Action Int´egr´ee PICASSO 99050.]" | Conference: | 15th International Conference on Pattern Recognition (ICPR-2000) | Abstract: | Recursive filtering structures reduce drastically the computational effort required for different tasks in image processing. These operations are done with a fixed number of operations per output point independently of the size of the neighbourhood considered. In this paper we show that implicit numerical implementations of some partial differential equations (PDEs) provide algorithms that can be interpreted in terms of recursive filters. We show, in particular, that the classical second order recursive filter introduced by Deriche (1987, 1990) is in fact a particular implementation of the heat equation. Using the well-known Neumann boundary condition for the heat equation, we propose some new implementation of the filter. We extend this linear filter to a nonlinear recursive smoothing filter, following the general idea of anisotropic diffusion. We present some comparison results with the classical Perona-Malik model. | URI: | http://hdl.handle.net/10553/46205 | ISBN: | 0-7695-0751-4 | ISSN: | 1051-4651 | DOI: | 10.1109/ICPR.2000.905312 | Source: | Proceedings - International Conference on Pattern Recognition [ISSN 1051-4651], v. 15 (1), p. 242-248 |
Appears in Collections: | Artículos |
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