Explicit FV Scheme for the Perona-Malik Equation
Zuzana Krivá · Computational Methods in Applied Mathematics · 2005
Abstract The Perona|Malik equation for nonlinear di®usion is the well-known equation widely used in image processing. This equation can be applied with great success for selective smoothing of images, where the noise is represented by small gradients and the spurious edges are represented by the large ones. For a numerical solution of this equation we use the ¯nite volume method. We analyze convergence of a corresponding explicit finite volume scheme to its weak solution and show some numerical experiments. We suggest also some modi¯cations of this scheme to obtain better CPU time performance of the algorithm.