A full second order model for multiscale texture analysis
| Autor: | Bergounioux, Maïtine, Piffet, Loïc |
|---|---|
| Přispěvatelé: | Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO), Centre National de la Recherche Scientifique (CNRS)-Université d'Orléans (UO) |
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Denoising
Computer Science::Graphics Texture analysis [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing Computer Science::Computer Vision and Pattern Recognition Image reconstruction ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Variational method Second order total variation [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing ComputingMethodologies_COMPUTERGRAPHICS |
| Zdroj: | Computational Optimization and Applications Computational Optimization and Applications, Springer Verlag, 2012, 54, pp.215-237. ⟨10.1007/s10589-012-9484-9⟩ |
| ISSN: | 0926-6003 1573-2894 |
| DOI: | 10.1007/s10589-012-9484-9⟩ |
| Popis: | International audience; We presented a second order image decomposition model to perform denoising and texture extraction. We look for the decomposition f= u+v + w where u is a first order term, v a second order term and w the remainder term (0 order). For highly textured images the model gives a two-scale texture decomposition: u can be viewed as a ''macro-texture'' (larger scale) which oscillations are not too large and $w$ is the ''micro-texture'' (very oscillating) that contains the noise. We perform mathematical analysis of the model and give numerical examples. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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