A regularization of nonlinear diffusion equations in a multiresolution framework
Gerd Teschke, M. Zhariy, Maria Joana Soares · Mathematical Methods in the Applied Sciences · 2007
Abstract We develop a regularization technique for Perona–Malik diffusion equations that relies on multiresolution techniques. The main result of this paper is to show that the chosen discretization overcomes the ill posedness of the nonlinear Perona–Malik model. The resulting algorithm is tested and the results are compared with pixel‐based methods. Copyright © 2007 John Wiley & Sons, Ltd.