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2008

Nonlinear Regularized Reaction-Diffusion Filters for Denoising of Images With Textures

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Nonlinear Regularized Reaction-Diffusion Filters for Denoising of Images With Textures
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. Key words. reaction-diffusion, second-generation curvelets, wave atoms, digital TV, regularization, denoising
Gerlind Plonka, Jianwei Ma
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2008
Where TIP
Authors Gerlind Plonka, Jianwei Ma
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