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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Vydáno v:	Mathematical methods in the applied sciences Ročník 31; číslo 5; s. 575 - 587
Hlavní autoři:	Teschke, Gerd, Zhariy, Mariya, Soares, Maria Joana
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Chichester, UK John Wiley & Sons, Ltd 25.03.2008 Wiley Teubner
Témata:	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
On-line přístup:	Získat plný text
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