J4 ›› 2013, Vol. 40 ›› Issue (3): 132-138.doi: 10.3969/j.issn.1001-2400.2013.03.020

• 研究论文 • 上一篇    下一篇

去除乘性噪声的积分微分方程模型

白键;冯象初   

  1. (西安电子科技大学 理学院,陕西 西安  710071)
  • 收稿日期:2012-10-10 出版日期:2013-06-20 发布日期:2013-07-29
  • 通讯作者: 白键
  • 作者简介:白键(1979-),男,讲师,博士,E-mail: keywhite26@126.com.
  • 基金资助:

    博士点新教师基金资助项目(20100203120010);国家自然科学基金资助项目(61105011)

Model based on the integro-differential equation  for multiplicative noise removal

BAI Jian;FENG Xiangchu   

  1. (School of Science, Xidian Univ., Xi'an  710071, China)
  • Received:2012-10-10 Online:2013-06-20 Published:2013-07-29
  • Contact: BAI Jian

摘要:

恢复含乘性噪声的图像是当前图像处理的重要研究课题.提出基于积分微分方程的乘性噪声去除模型.新模型中假定乘性噪声服从伽马分布.讨论了经典的去除乘性噪声的AA模型,在此基础上通过在逆尺度空间积分“尺度”图像,从而得到了新的积分微分方程.这种新的积分微分方程含有一个单调增加的尺度函数.通过选取适当的尺度函数,该方程可以有效地去除乘性噪声.

关键词: 图像去噪, 总变差最小, 乘性噪声, 积分微分方程

Abstract:

Multiplicative noise removal is an important research topic on image processing. This paper presents a novel integro-differential equation approach for removing multiplicative noise. Under the assumption that multiplicative noise follows a Gamma distribution, we firstly discuss the classical AA model, and then in order to arrive at the novel integro-differential equation, integrate in inverse scale space a succession of refined ‘slices’ of the image. The novel integro-differential equation includes a monotone increasing scaling function. By choosing an adaptive scaling function, this equation can remove multiplicative noise efficiently. Finally, the experimental results demonstrate the better performance of the proposed model.

Key words: image denoising, total variation minimization, multiplicative noise, integro-differential equation

中图分类号: 

  • TP751