• 中国计算机学会会刊
  • 中国科技核心期刊
  • 中文核心期刊

J4 ›› 2006, Vol. 28 ›› Issue (6): 44-46.

• 论文 • 上一篇    下一篇

变分图像复原中PDE的推导及其数值实现

张红英 彭启琮   

  • 出版日期:2006-06-01 发布日期:2010-05-20

  • Online:2006-06-01 Published:2010-05-20

摘要:

以全变分(TV)去噪模型为例,本文详细阐述了全变分复原模型的构造,用变分法推导出与之相应的偏微分方程(PDE),并用直接差分法对该模型进行了数值仿真.结果表明,差分法能有效地快速实现基于TV模型的去噪方法,其去噪效果良好.

关键词: 图像复原 去噪 全变分 偏微分方程

Abstract:

This paper introduces the construction of the TV denoises model, deduces the PDE corresponding to it, and uses the direct difference method to simulate the model. The numerical results show that the direct difference method can effectively realize the denoising method model based on the TV model, and   its effect is excellent.

Key words: image restoratiomdenoising;total variation;partial differential equation