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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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Submitted on : Friday, May 13, 2011 - 10:48:55 PM
Last modification on : Friday, February 4, 2022 - 3:08:41 AM
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  • HAL Id : inria-00593315, version 1



Jacques Lévy Véhel, Bertrand Guilheneuf. Multifractal image denoising. SCIA'97 : 10th Scandinavian conference on image analysis, Jun 1997, Lappeeranta, Finland. ⟨inria-00593315⟩



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