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A full second order model for multiscale texture analysis

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-00600430
Contributor : Maïtine Bergounioux <>
Submitted on : Sunday, April 1, 2012 - 2:46:07 PM
Last modification on : Thursday, May 3, 2018 - 3:32:06 PM
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Maïtine Bergounioux, Loïc Piffet. A full second order model for multiscale texture analysis. Computational Optimization and Applications, Springer Verlag, 2012, 54, pp.215-237. ⟨10.1007/s10589-012-9484-9⟩. ⟨hal-00600430v2⟩

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