期刊文献+

偏微分方程在图像去噪中的应用 被引量:10

PDEs Applied in Image Denoising
在线阅读 下载PDF
导出
摘要 论文分析了偏微分方程在图像去噪方面的应用,分析现有方法的理论基础、存在的问题以及在去噪中的优点。给出实验结果,对比几种方法在去噪中的不同应用。分析了偏微分方程去噪存在的不能恢复纹理的缺点,提出了今后改进的方向。 In this paper,the applications in image processing of the PDEs are expounded.It introduces the basic theories about the methods which have been used,explains the problems and their advantage in denoising.The results are given and compared between different applications.The defect of the inability in preserving texture is analyzed,the challenge in these applications are also analyzed.
出处 《计算机工程与应用》 CSCD 北大核心 2006年第22期69-71,共3页 Computer Engineering and Applications
基金 国家自然科学基金资助项目(编号:60472033) 国家973基础研究发展规划资助项目(编号:2004CB318005) 教育部博士点基金资助项目(编号:20030004023)
关键词 偏微分方程 图像去噪 P-M方程 整体变分法(TV) 纹理保持 PDEs, image denoising, P-M equation, total variation (TV), preserve texture
作者简介 仵冀颖(1982-),博士生,主要研究方向:偏微分方程处理图像。E-mail:happywjy82@163.com阮秋琦(1944-),男,教授,博士生导师,研究方向为图像处理,视频编码,计算机视觉,虚拟现实。
  • 相关文献

参考文献10

  • 1Aubert G,Kormprobst P.Mathematical Problems in Image Processing:Partial Differential Equations and the Calculus of Varations[J].Applied Mathematical Sciences,Springer-Verlag,2001; 147
  • 2Perona P,Malik J.Scale-space and edge detection using anisotropic diffusion[J].IEEE Trans on Pattern Anal Machine Intell,1990;12(7):629~639
  • 3Rudin L,Osher S,Fatemi E.Nonlinear total variation based noise removal algorithms[C].In:Proc Mod'eliz Mat Traitement d'Images,INRIA,1992:149~179
  • 4F Catte,P L Lions,J M Morel et al.Image selective smoothing and edge detection by nonlinear diffusion[J].SIAM J Num Anal,1992;29(1):182~193
  • 5Yu-Li You,M Kaveh,Wen-Yuan Xu et al.Analysis and design of anisotropic diffusion for image processing[C].In:Proc IEEE Int Conf Image Processing,Austin,TX,1994
  • 6Sylvie Teboul,Laure Blanc-Feraud,Gilles Aubert et al.Variational approach for edge-preserving regularization Using Coupled PDE's[J].IEEE Trans on Image Processing,1998;7(3)
  • 7David M Strong,Jean-Francois Aujol,Tony F Chan.Scale recognition,regularization parameter selection,and Meyer's G norm in total variation regularization[R].UCLA CAM report,2004
  • 8Peter Blomgren,Tony F Chan,Pep Mulet.Extensions to total variation denoising[C].In:Proceedings of SPIE,CAM,1997
  • 9Tony Chan,Antonio Marquina,Pep Mulet.Second order differential functionals in total variation-based image restoration[C].In:CAM,1998
  • 10Guy Gilboa,Yehoshua Y Zeevi,Nir Sochen.Texture Preserving Varational Denoising Using an Adaptive Fidelity Term[C].In:Proc VLSM 2003,Nice,France,2003:137~144

同被引文献107

引证文献10

二级引证文献44

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部