Multifractal image denoising

Abstract : We present a new method for image denoising based on singularity analysis. The image is characterized via its multifractal spectrum, which mode yields the most frequent H�lder exponent. Using 2-microlocal analysis, we define an operator that shifts the spectrum so that the transformed image has almost sure H�lder exponent a little above 2. This manipulation leads to a smooth image while preserving the relative strength of the singularities (as for instance edges or textures) in the signal. Experimental results on Radar images are presented.
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Communication dans un congrès
SCIA'97 : 10th Scandinavian conference on image analysis, Jun 1997, Lappeeranta, Finland. 1997
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https://hal.inria.fr/inria-00593315
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Jacques Lévy Véhel, Bertrand Guilheneuf. Multifractal image denoising. SCIA'97 : 10th Scandinavian conference on image analysis, Jun 1997, Lappeeranta, Finland. 1997. 〈inria-00593315〉

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