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IEEE Trans Image Process. 2008 Aug;17(8):1283-94. doi: 10.1109/TIP.2008.925305.

Nonlinear regularized reaction-diffusion filters for denoising of images with textures.

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1
Department of Mathematics, University of Duisburg-Essen, Campus Duisburg, Duisburg, Germany. plonka@math.uni-duisburg.de

Abstract

Denoising is always a challenging problem in natural imaging and geophysical data processing. In this paper, we consider the denoising of texture images using a nonlinear reaction-diffusion equation and directional wavelet frames. In our model, a curvelet shrinkage is used for regularization of the diffusion process to preserve important features in the diffusion smoothing and a wave atom shrinkage is used as the reaction in order to preserve and enhance interesting oriented textures. We derive a digital reaction-diffusion filter that lives on graphs and show convergence of the corresponding iteration process. Experimental results and comparisons show very good performance of the proposed model for texture-preserving denoising.

PMID:
18632339
DOI:
10.1109/TIP.2008.925305
[Indexed for MEDLINE]
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