2011•Journal of North University of ChinaRequires access

An Adaptive Image Denoising Model of Anisotropic Diffusion Based on Fractional Derivative

Xiaoyan Li

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Abstract

As the traditional pure anisotropic diffusion model(1order derivative used by the gradient) brings staircase effect by excessive diffusion in smooth regions,and the 4-order PDE(2-order derivative used by the Laplacian) model suffers poor denoising effect,an adaptive image denoising model of anisotropic diffusion based on fractional derivative was proposed.As a locally adaptive process,the proposed model adopts different regularization constraints in different parts of the image.Experimental results show that the new model not only efficiently remove noise,but also retain the edge and detail information.Better quality and visual effects of the image is achieved with this model.

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What this paper is about

As the traditional pure anisotropic diffusion model(1order derivative used by the gradient) brings staircase effect by excessive diffusion in smooth regions,and the 4-order PDE(2-order derivative used by the Laplacian) model suffers poor denoising effect,an adaptive image denoising model of anisotropic diffusion based on fractional derivative was proposed.As a locally adaptive process,the proposed model adopts different regularization constraints in different parts of the image.Experimental results show that the new model not only efficiently remove noise,but also retain the edge and detail information.Better quality and visual effects of the image is achieved with this model.

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Available abstract

As the traditional pure anisotropic diffusion model(1order derivative used by the gradient) brings staircase effect by excessive diffusion in smooth regions,and the 4-order PDE(2-order derivative used by the Laplacian) model suffers poor denoising effect,an adaptive image denoising model of anisotropic diffusion based on fractional derivative was proposed.As a locally adaptive process,the proposed model adopts different regularization constraints in different parts of the image.Experimental results show that the new model not only efficiently remove noise,but also retain the edge and detail information.Better quality and visual effects of the image is achieved with this model.

Key concepts: Anisotropic diffusion, Noise reduction, Regularization (linguistics), Laplace operator, Image denoising, Derivative (finance), Diffusion process, Diffusion

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