关键词: 图像去噪, 总广义变分, 各向异性扩散张量, 原始-对偶算法

Abstract: In order to denoise the nosiy image and overcome the staircase effect which is often produced by total variation denoising method, a new image denoising method based on the improved second order Total Generalized Variation（TGV）is proposed. Firstly, the theory of second order TGV is presented. Then, an anisotropic diffusion tensor is introduced in the regularization term of second order TGV. The new proposed model is utilized the tensor function to guide the diffusion. At last, an extended primal-dual algorithm is proposed to solve the new model numerically. The new model combines the advantages such as the second order TGV regularization which can automatically balance the first order and second order derivative, the diffusion tensor which can strengthen the edges structures. Experimental results indicate that the proposed method can effectively remove the noise and avoid the staircase effect while preserving the edges of image.

Key words: image denoising, total generalized variation, anisotropic diffusion tensor, primal-dual algorithm