Nonlinear Diffusion Scale-Spaces: From the Continuous to the Discrete Setting
- A survey on continuous, semidiscrete and discrete well-posedness and scale-space results for a class of nonlinear diffusion filters is presented. This class does not require any monotony assumption (comparison principle) and, thus, allows image restoration as well. The theoretical results include existence, uniqueness, continuous dependence on the initial image, maximum-minimum principles, average grey level invariance, smoothing Lyapunov functionals, and convergence to a constant steady state.
Author: | Joachim Weickert |
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URN: | urn:nbn:de:hbz:386-kluedo-5581 |
Series (Serial Number): | Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (156) |
Document Type: | Article |
Language of publication: | English |
Year of Completion: | 1995 |
Year of first Publication: | 1995 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2000/04/03 |
Tag: | nonlinear diffusion filtering; scale-space; well-posedness |
Source: | M.-O. Berger, R.Deriche, I. Herlin, J. Jaffre, J.-M. Morel (EDs.),ICAOS ´96: Images, Wavelets and PDEs; Lecture Notes in Control and Information Sciences, Vol 219,Springer, London, 111 - 118, 1996 |
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 |