A regularization of nonlinear diffusion equations in a multiresolution framework |
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| Authors: | Gerd Teschke Mariya Zhariy Maria Joana Soares |
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| Affiliation: | 1. Konrad Zuse Zentrum für Informationstechnik Berlin, Takustr.7, D‐14195 Berlin, Germany;2. Departamento de Matemática, Universidade de Minho, Campus de Gualtar, 4710‐057 Braga, Portugal |
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| Abstract: | 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 results are compared with pixel‐based methods. Copyright © 2007 John Wiley & Sons, Ltd. |
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| Keywords: | nonlinear diffusion regularization operator‐adapted refinable functions |
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