A regularization of nonlinear diffusion equations in a multiresolution framework
β Scribed by Gerd Teschke; Mariya Zhariy; Maria Joana Soares
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 198 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.926
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β¦ Synopsis
Abstract
We develop a regularization technique for PeronaβMalik diffusion equations that relies on multiresolution techniques. The main result of this paper is to show that the chosen discretization overcomes the ill posedness of the nonlinear PeronaβMalik model. The resulting algorithm is tested and the results are compared with pixelβbased methods. Copyright Β© 2007 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
We study the Cauchy problem of multidimensional viscous diffusion equations. By using an equivalent integral equation, we first give the existence of local solutions. Then, under some assumptions, we obtain the global existence of solutions.
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