Name
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 neighborhood considered. In this paper, we show that implicit numerical implementations of some partial differential equations (PDE's) provide algorithms that can be interpreted in terms of recursive filters. We show, in particular, that a classical second order recursive filter introduced by one of the authors in [6], [8] 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. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1109/ICPR.2000.905312 | ICPR |
Keywords | Field | DocType |
second order,image processing,boundary condition,anisotropic diffusion,linear filtering,heat equation | Anisotropic diffusion,Nonlinear system,Computer science,Mathematical analysis,Artificial intelligence,Recursive filter,Linear filter,Pattern recognition,Algorithm,Filter (signal processing),Heat equation,Neumann boundary condition,Partial differential equation | Conference |
Citations | PageRank | References |
1 | 1.32 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Luis Álvarez | 1 | 129 | 13.58 |
| Francisco Santana-Jorge | 2 | 1 | 1.32 |
| Rachid Deriche | 3 | 4903 | 633.65 |