Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9511561 | Applied Numerical Mathematics | 2005 | 11 Pages |
Abstract
A generalization to the nonlinear diffusion of digital images is proposed, taking into account an extended neighborhood as a prolongation to information derived from local, nearest-neighboring pixels. Traditionally, each iteration in nonlinear diffusion filtering is performed on a 3Ã3 window. While several iterations can propagate this local information to pixels which are further away from the center of the window, it clearly presents a limitation in some applications as compared to non-PDE based filtering approaches in which the window is larger than 3Ã3. Here, an extension is presented to describe the nonlinear diffusion equation for larger windows, thus overcoming this limitation.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Danny Barash,