A regularization of nonlinear diffusion equations in a multiresolution framework

We develop a regularization technique for Perona–Malik 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 Perona–Malik model. The resulting algorithm is tested and the res...

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Bibliographic Details
Published in:	Mathematical methods in the applied sciences Vol. 31; no. 5; pp. 575 - 587
Main Authors:	Teschke, Gerd, Zhariy, Mariya, Soares, Maria Joana
Format:	Journal Article
Language:	English
Published:	Chichester, UK John Wiley & Sons, Ltd 25.03.2008 Wiley Teubner
Subjects:	Exact sciences and technology Mathematical analysis Mathematics nonlinear diffusion Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra operator-adapted refinable functions regularization Sciences and techniques of general use nonlinear diffusion Numerical linear algebra Mathematical method Algorithm Discretization method Non linear equation Regularization method Scaling function Numerical analysis Applied mathematics Non linear model operator-adapted refinable functions Diffusion equation Ill posed problem Regularization
ISSN:	0170-4214, 1099-1476
Online Access:	Get full text
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