Using the Sharp Operator for edge detection and nonlinear diffusion
- In this paper we investigate the use of the sharp function known from functional analysis in image processing. The sharp function gives a measure of the variations of a function and can be used as an edge detector. We extend the classical notion of the sharp function for measuring anisotropic behaviour and give a fast anisotropic edge detection variant inspired by the sharp function. We show that these edge detection results are useful to steer isotropic and anisotropic nonlinear diffusion filters for image enhancement.
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| Author: | M. K. Ahmad, S. Didas, J. Iqbal |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-16413 |
| Series (Serial Number): | Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (176) |
| Document Type: | Report |
| Language of publication: | German |
| Year of Completion: | 2009 |
| Year of first Publication: | 2009 |
| Publishing Institution: | Fraunhofer-Institut für Techno- und Wirtschaftsmathematik |
| Date of the Publication (Server): | 2010/07/21 |
| Tag: | edge detection; image processing; maximal function; nonlinear diffusion; sharp function |
| Faculties / Organisational entities: | Fraunhofer (ITWM) |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |