期刊文献+

基于偏微分方程的去噪方法 被引量:5

Denoising Method Based on Partial Differential Equation
下载PDF
导出
摘要 利用偏微分方程抑制图像噪声已经被认为是具有显著效果的图像去噪技术。在阐述图像噪声模型的基础上研究了图像去噪的偏微分方程模型,并对偏微分方程中的参数选择进行了讨论。为了保持图像的边缘信息,对经典模型参数进行了改进。实验结果表明,偏微分方程适用于图像噪声的抑制,并且可以在抑制图像噪声的同时,保持较好的边缘信息。 Image noise removing by the partial differential equation(PDE) is well known technique for their good processing results. In this paper, based on discussing the model of image noise, we research the model of the PDE, and discuss the parameter of the PDE. For preserving the information of image edge, we modify the parameter of classical model. The experimental results show that the PDE can reduce the image speckle and preserve more edge features.
出处 《测绘科学技术学报》 北大核心 2007年第4期284-286,共3页 Journal of Geomatics Science and Technology
基金 信息工程大学测绘学院课题资助项目(Y0603)
关键词 偏微分方程 噪声抑制 梯度 partial differential equation noise removal gradient
  • 相关文献

参考文献3

二级参考文献14

  • 1Weickert J. A Review of Nonlinear Diffusion Filtering in Scale-space Theory in Computer Vision[M].Berlin: Springer, 1997.
  • 2Perona P,Malik J. Scale-space and edge detection using a nisotropic diffusion[J]. IEEE Transaction on Pattern Analysis and Machine Intelligence, 1990,12(7):629-639.
  • 3Lysaker M, Lundervold A, Tai X C. Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time[J]. IEEE Transactions on Image Processing, 2003,12(12) : 1579-1590.
  • 4Gilboa G,Zeevi Y Y,Sochen N A. Forward and backward diffusion processes for adaptive image enhancement denosing[J].IEEE Transaction on Image Processing, 2002,11(7):689-703.
  • 5Gilboa G,Zeevi Y Y, Sochen N A. Complex diffusion process for image filtering[C].Scale-Space, 2001,LNCS 2106, Berlin: Springer-Verlag, 2001.
  • 6Weickert J. Theoretical foundations of naisotropic diffusion in image processing[J]. Computing, 1996,11 :221-236.
  • 7Weickert J. Coherence-Enhancing diffusion filtering[J].International Journal of Computer Vision, 1999,31(2/3) : 111 -127.
  • 8Mrazek P, Navara M. Selection of optimal stopping time for nonlinear diffusion filtering[J]. International Journal of Computer Vision,2003,52(2/3): 189-203.
  • 9Steidl G,Weickert J. Brox T, Mrazek P,Welk M. On the equivalence of soft wavelet shrinkage,total variation diffusion,total variation regularization,and SIDEs[J]. SIAM Journal on Numerical Analysis, 2004,42(2) : 686-713.
  • 10Deriche R,Faugems O. Les EDP en traitement des images et vision par ordinatour[ R]. Technical report, INRIA, 1995. A more complete version of this Research Report has appeared in the French Revue. Trakement du Signal. 1996,13 (6) : 746 -749.

共引文献16

同被引文献39

  • 1郑海红,孔月萍,曾平,王义峰.误差分散类逆半调技术综述[J].中国图象图形学报,2008,13(1):1-6. 被引量:8
  • 2王正明,谢美华.偏微分方程在图像去噪中的应用[J].应用数学,2005,18(2):219-224. 被引量:17
  • 3许卫全,张新楼,徐中佑,张砚臣.保持图像细节的局部自适应去噪滤波器新方法[J].信号处理,2005,21(2):191-194. 被引量:11
  • 4胡大成,宋卫东.梯度和散度在弹丸图像边缘提取中的应用[J].微计算机信息,2006,22(05S):250-252. 被引量:7
  • 5GONZALES C R, WOODS R E. Digital image processing[ M]. New Jersey: Prentice Hall, 2003:185 - 194.
  • 6BLACK M J, SAPIRO G. Edges as outliers: Anisotropic smoothing using local image statistics [ C ]// Proceedings of the Scale-space Conference. Berlin : Springer-Verlag, 1999:259 - 270.
  • 7王强,王风.一种保持图像几何特征的去噪模型[c]//中国通信协会第五届学术年会论文集.北京:电子工业出版社,2007:433-438.
  • 8吴斌,吴亚东,张红英.基于变分偏微分方程的图像复原技术[M].北京:北京大学出版社,2008.
  • 9Stevenson R L. Inverse Halffoning via MAP Estimation[J]. IEEE Trans. on Image Processing, 1997, 6(4): 574-583.
  • 10Xiong Zixiang, Orhard M T, Ramchandran K. Inverse Halftoning Using Wavelets[J]. IEEE Trans. on Images Processing, 1999, 8(10): 1479-1483.

引证文献5

二级引证文献32

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