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Large nonlinearities and monotonicity

โœ Scribed by K. Gustafson; D. Sather


Publisher
Springer
Year
1972
Tongue
English
Weight
705 KB
Volume
48
Category
Article
ISSN
0003-9527

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๐Ÿ“œ SIMILAR VOLUMES


Nonlinear monotone semigroups and viscos
โœ Samuel Biton ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 151 KB

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

Monotonicity Enhancing Nonlinear Diffusi
โœ Pavel Mrรกzek ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 193 KB

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