Edge-preserving and scale-dependent properties of total variation regularization
| Author(s) : | Tony F. Chan David M. Strong, |
| Publisher : | N/A |
| Publication Date : | 2000 |
| ISSN : | N/A |
| Abstract : | We give and prove two new and fundamental properties of total variation minimizing function regularization (TV Regularization): 1) edge locations of function (e.g. image) features tend to be preserved, and under certain conditions, are preserved exactly; 2) intensity change experienced by individual features is inversely proportional to the scale of each feature. More generally, we describe both qualitatively and quantitatively the exact eects of TV Regularization in R 1, |