Journal of Xidian University

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Global sparse gradient coupled tensor diffusion model for image denoising

ZHANG Rui1,2;FENG Xiangchu1;YANG Lixia2;CHANG Lihong1   

  1. (1. School of Mathematics and Statistics, Xidian Univ., Xi'an 710071, China;
    2. School of Mathematics and Statistics, Ningxia Univ., Yinchuan 750021, China)
  • Received:2017-04-27 Online:2017-12-20 Published:2018-01-18

Abstract:

A global sparse gradient coupled tensor diffusion model for image denoising is proposed to improve the problem of edges blurring induced by the DTTR model. First, a tensor matrix is constructed by the global sparse gradient which is more accurate and robust than classic gradient operators. Then the diffusion equation is guided by the tensor matrix for image denoising. The diffusion resulting from this model is isotropic inside a homogeneous region and anisotropic along its edge so that an accurate tracking of the edges is possible. Numerical experiments show that the proposed method achieves a competitive denoising performance in comparison with the comparative algorithms in terms of both subjective and objective qualities. Experimental results indicate that the performances of denoising methods can be improved by introducing a guide map, which is obtained by the global sparse gradient model.