数学理论与应用 ›› 2017, Vol. 37 ›› Issue (2): 32-37.

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基于全变分的图像去噪算法

倪念勇, 孙波   

  1. 长沙理工大学数学与统计学院
  • 出版日期:2017-06-30 发布日期:2020-09-23

Image Denoising Algorithm Based on Total Variation

Ni Nianyong, Sun Bo   

  1. School of Mathematics and Statistics,Changsha University of Science & Technology
  • Online:2017-06-30 Published:2020-09-23

摘要:

本文研究全变分去噪模型与算法,分别用最速下降法、差分迭代法及分裂Bregman法数值求解全变分模型进行图像去噪.实验结果表明差分迭代法计算速度快,去噪效果好.

关键词:

"> 全变分, 最速下降法, 差分迭代法, 分裂Bregman法

Abstract:

In this paper we study the image denoising algorithm based on total variation.The corresponding optimization model is solved by the steepest descend method,the difference iterative method and the split Bregman method,respectively.Experiment results show that the difference iterative method convergences rapidly,and achieves better denoising performances.

Key words:

Total variation, Steepest descend method, Difference iterative method, Split Bregman method