Nonlinear diffusion and hyperbolic smoothing for edge enhancement
Résumé
We give a mathematical foundation for the interpretation of
numerical results for the Perona-Malik equation and introduce a
reversible smoothing procedure, based on a second-order hyperbolic
equation. These results are briefly compared with other
edge-detection techniques, including mean curvature flow. We prove in particular that anisotropic diffusion is TVD (total variation diminishing) in one dimension.