Large nonlinearities and monotonicity
โ Scribed by K. Gustafson; D. Sather
- Publisher
- Springer
- Year
- 1972
- Tongue
- English
- Weight
- 705 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0003-9527
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In a celebrated paper motivated by applications to image analysis, L. Alvarez, F. Guichard, P.-L. Lions and J.-M. Morel showed that any monotone semigroup defined on the space of bounded uniformly continuous functions, which satisfies suitable regularity and locality assumptions is in fact a semigro
We consider the task of filtering the noise from images and other types of inputs which are assumed to be piecewise continuous and piecewise monotone. We show that nonlinear diffusion of the data, a powerful filtering method, is too restrictive for such a case, leading to piecewise constant function