Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
Francine Catté, Pierre-Louis Lions, Jean‐Michel Morel, Tomeu Coll · SIAM Journal on Numerical Analysis · 1992
A new version of the Perona and Malik theory for edge detection and image restoration is proposed. This new version keeps all the improvements of the original model and avoids its drawbacks: it is proved to be stable in presence of noise, with existence and uniqueness results. Numerical experiments on natural images are presented.