A modified TV-Stokes model for image processing
- We introduce and investigate the modified TV-Stokes model for two classical image processing tasks, i.e., image restoration and image inpainting. The modified TV-Stokes model is a two-step model based on a total variation (TV) minimization in each step and the use of geometric information of the image. In the first step, a smoothed and divergence free tangential field of the given image is recovered, and in the second step, the image is reconstructed from the corresponding normals. The existence and the uniqueness of the solution to the minimization problems are established for both steps of the model. Numerical examples and comparisons are presented to illustrate the effectiveness of the model.
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| Author: | William G. LitvinovGND, Talal Rahman, Xue-Cheng Tai |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-11031 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/1310 |
| Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2009-25) |
| Type: | Preprint |
| Language: | English |
| Publishing Institution: | Universität Augsburg |
| Contributing Corporation: | Center for Integrated Petroleum Research, Department of Mathematics, University of Bergen, Norway |
| Release Date: | 2009/10/14 |
| Tag: | total variation; image restoration; image inpainting |
| GND-Keyword: | Bildverarbeitung; Bildrekonstruktion; TVD-Verfahren |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  Deutsches Urheberrecht mit Print on Demand |
