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Image Restoration Using Anisotropic Stochastic Diffusion Collaborated with Non Local Means

Abstract : In this paper we explore the problem of the reconstruction of images with additive Gaussian noise. In order to solve this inverse problem we use stochastic differential equations with reflecting boundary and famous non local means algorithm. Expressing anisotropic diffusion in terms of stochastic equations allows us to adapt the concept of similarity patches used in non local means. This novel look on the reconstruction problem is fruitful, gives encouraging results and compares favourably with other image denoising filters.
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Dariusz Borkowski, Katarzyna Jańczak-Borkowska. Image Restoration Using Anisotropic Stochastic Diffusion Collaborated with Non Local Means. 12th International Conference on Information Systems and Industrial Management (CISIM), Sep 2013, Krakow, Poland. pp.177-189, ⟨10.1007/978-3-642-40925-7_18⟩. ⟨hal-01496064⟩

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