J4 ›› 2014, Vol. 41 ›› Issue (4): 108-110+172.doi: 10.3969/j.issn.1001-2400.2014.04.019

• 研究论文 • 上一篇    下一篇

融合卡方累积分布函数和PDE的曲波阈值去噪法

崔华;严玍伻   

  1. (长安大学 信息工程学院,陕西 西安  710064)
  • 收稿日期:2013-09-04 出版日期:2014-08-20 发布日期:2014-09-25
  • 通讯作者: 崔华
  • 作者简介:崔华(1977-),女,副教授,博士,E-mail: charwmfli@gmail.com.
  • 基金资助:

    国家863计划资助项目(2012AA112312);国家交通部科技计划资助项目(201231849A70);陕西省攻关计划资助项目(2011k06-21);中央高校基本科研业务费专项资金资助项目(CHD2012JC037)

Improved curvelet thresholding denoising method by the Chi-Squared cumulation distribution function and PDE

CUI Hua;YAN Gabeng   

  1. (School of Information Engineering, Chang'an Univ., Xi'an  710064, China)
  • Received:2013-09-04 Online:2014-08-20 Published:2014-09-25
  • Contact: CUI Hua

摘要:

针对硬阈值函数不连续导致视觉失真和软阈值函数存在恒定重构偏差的问题,依据噪声的曲波系数分布特性以及理想阈值函数特性,提出了基于卡方累积分布函数的新阈值函数.为了克服阈值去噪法固有的环绕效应和难以兼顾细节保持与去噪效果的性能缺陷,将偏微分方程去噪图像中包含的有益信息融合进新阈值函数去噪图像中,提出了新去噪方法.理论分析和仿真结果一致表明,较软、硬阈值去噪法,文中采用卡方累积分布函数和偏微分方程改进的曲波阈值去噪方法,可以有效地改善去噪效果和视觉质量.

关键词: 图像去噪, 曲波阈值法, 卡方分布, 偏微分方程

Abstract:

To circumvent the visual distortion due to the discontinuity of the hard threshold function and the constant reconstruction deviation caused by the soft thresholding function, this paper presents a novel thresholding function based on the Chi-Square cumulative distribution function according to the distribution characteristics of curvelet coefficients of the noise and the ideal properties thehigh effective curvelet threshold functions should have. Further, in order to eliminate the surrounding effect inherent in curvelet threshold denoising methods and achieve a better balance between detail conservation and noise reduction, useful information involved in a denoised image produced by the partial differential equation denoising method is fused with that by the novel curvelet threshold function into the proposed denoising method. Theoretical analysis and simulation results show that the proposed denoiding method outper forms the soft and hard threshold denoising methods in terms of the denoising effect and visual quality.

Key words: image denoising, curvelet thresholding algorithm, Chi-Square distribution, partial differential equation

中图分类号: 

  • TP751