J4 ›› 2014, Vol. 41 ›› Issue (2): 130-136.doi: 10.3969/j.issn.1001-2400.2014.02.022

• Original Articles • Previous Articles     Next Articles

Iteratively reweighted second-order regularization based multiplicative noise removal model

WANG Xudong1,2;FENG Xiangchu1;ZHANG Xuande1,3   

  1. (1. School of Mathematics and Statistics, Xidian Univ., Xi'an  710071, China;
    2. School of Science, Guangxi Univ. Science and Technology, Liuzhou  545006, China;
    3. School of Mathematics and Computer Science, Ningxia Univ., Yinchuan  750021, China)
  • Received:2012-12-10 Online:2014-04-20 Published:2014-05-30
  • Contact: WANG Xudong E-mail:xudwang@mail.xidian.edu.cn

Abstract:

In order to remove the multiplicative noise in an image, an iteratively reweighted second order derivatives(Frobenius norm of Hessian matrix) regularization model is proposed under the assumption that the multiplicative noise follows a Gamma distribution, which is an extension of the iteratively reweighted total variation model. A primal-dual algorithm for iteratively reweighted Frobenius norm of the Hessian matrix regularization model is designed. Numerical experiments show that the proposed model and algorithm can remove noise effectively while preserving details, restraining the staircase effect and avoiding edge blurring.

Key words: image denoising, multiplicative noise, diffusion, Hessian matrix, primal-dual algorithm