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光子学报  2005 

Selection of Regularization Parameter for Anisotropic Diffusion Filtering
各向异性扩散滤波的正则化参数选取方法

Keywords: Anisotropic diffusion,Piecewise constant model,Regularization parameter,Noise estimation
各向异性扩散
,分片常数模型,正则化参数,噪声估计

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Abstract:

The selection of regularization parameter for anisotropic diffusion in image processing is discussed. An approach of noise estimation based piecewise constant image model is proposed. In this approach,image noise is estimated by minimal variance of region in image. And then the relation between regularization parameter and image noise is analyzed. A modified formula between regularization parameter and image noise is suggested. According to this formula, regularization parameter is adapted to image noise. Finally, the rule to select size of gauss mask to regularization parameter is given. Resutt shows that anisotropic diffusion have good adaptability to image noise with the selection of regularization parameter.

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