Image Processing Using a Wavelet Algorithm for Nonlinear Diffusion
- The edge enhancement property of a nonlinear diffusion equation with a suitable expression for the diffusivity is an important feature for image processing. We present an algorithm to solve this equation in a wavelet basis and discuss its one dimensional version in some detail. Sample calculations demonstrate principle effects and treat in particular the case of highly noise perturbed signals. The results are discussed with respect to performance, efficiency, choice of parameters and are illustrated by a large number of figures. Finally, a comparison with a Fourier method and a finite volume method is performed.
Author: | Joachim Weickert, Jochen Fröhlich |
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URN: | urn:nbn:de:hbz:386-kluedo-5019 |
Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (104) |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 1994 |
Year of first Publication: | 1994 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 1994/01/01 |
Tag: | Perona-Malik filter; finite volume methods; pseudospectral methods; wavelets |
Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
MSC-Classification (mathematics): | 35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Qxx Equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05] / 35Q80 PDEs in connection with classical thermodynamics and heat transfer |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |