期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

SURE准则的图像小波阈值去噪 被引量：8

Image Denoising with Wavelet Threshold Based on SURE Rule
下载PDF
导出
摘要 在D．L．Donoho提出的小波阈值去噪的基础上,提出了一种新的阈值函数,其功能与硬阈值函数相当,但是它具有二阶连续可导性．相对于软阈值函数,此函数“硬”特性可以很好保留图像边缘等局部特征;而其可导性为实现图像的自适应去噪提供了可能．本文应用此阈值函数,基于SURE无偏估计,给出了一种小波自适应阈值去噪方法,并用Lenna和Barbara图做了仿真实验,实验结果显示此方法在最小均方误差(LMSE)意义上的优越性． Based on the wavelet threshold denoising theory proposed by D. L. Donoho, a new threshold function is presented in this paper. It is rather similar to the hard threshold one, but it has two order continuous derivatives. Compared to soft threshold function, it can reserve image details much better due to its ＂hard＂ characteristic. Moreover, us two order deirvative makes it possible to construct an adaptive algorithm for image denoising. By using the new threshold function, a new adaptive shrinkage method is presented based on Stein＇s unbiased risk estimate（SURE）. Two examples of Lenna and Barbara are given. The results indicate that the proposed method is very effective for image denoising application, in adaptively finding the optimal solution with least mean square error（LMSE） sense.
作者 费双波 赵瑞珍
机构地区 北京交通大学 计算机与信息技术学院
出处 《北京交通大学学报》 EI CAS CSCD 北大核心 2007年第2期15-18,共4页 JOURNAL OF BEIJING JIAOTONG UNIVERSITY
基金 北京交通大学校科技基金(2005SM011)
关键词 图像去噪 SURE无偏估计 小波自适应阉值 最小均方误差 image denoising SURE wavelet adaptive threshold LMSE
分类号 TN911.73 [电子电信—通信与信息系统]
  • 相关文献

参考文献12

  • 1Daubechies I.Ten Lectures on Wavelets[M].Philadelphia,PA:SIAM,1992.
  • 2Paul Scheunders.Wavelet Thresholding of Multivalued Images[J].IEEE Trans.on Image Processing,2004,13(4):475-483.
  • 3Donoho D L,Johnstone I M.Ideal Spatial Adaptation By Wavelet Shrinkage[J].Biometrika,1994,81:425-455.
  • 4Donoho D L,Johnstone I M.Adapting to Unknown Smoothness Via Wavelet Shrinkage[J].Amer.Stat.Assoc.,1995,90:1200-1224.
  • 5冷军发,荆双喜,李臻.基于小波多分辨分析的阈值去噪[J].焦作工学院学报,2002,21(6):443-446. 被引量：12
  • 6Johnstone I M,Silverman B W.Wavelet Threshold Estimators for Data with Correlated noise[J].Royal Statistics Society Series(B),1997,59:319-351.
  • 7谢杰成,张大力,徐文立.小波图象去噪综述[J].中国图象图形学报（A辑）,2002,7(3):209-217. 被引量：252
  • 8Castleman K R.Digital Image Processing[M].USA,New Jersey:Prentice Hall,Inc.1996:359-360.
  • 9Donoho D L.Denoising By Soft Thresholding[J].IEEE Trans.on Inform.Theory,1995,41:613-627.
  • 10Stein C.Estimation of the Mean of a Multivariatenormal Distribution[J].Ann.Stat.,1981,9:1135-1151.

二级参考文献67

  • 1卢荣军 戴朝平.振动信号的小波去噪研究[J].应用力学学报,1997,14:57-59.
  • 2[9]You Yuli, Kaveh D. Fourth-order partial differential equations for noise removal[J]. IEEE Trans. Image Processing, 2000,9(10):1723～1730.
  • 3[10]Bouman C, Sauer K. A generalized Gaussian image model of edge preserving map estimation[J]. IEEE Trans. Image Processing, 1993,2(3):296～310.
  • 4[11]Ching P C, So H C, Wu S Q. On wavelet denoising and its applications to time delay estimation[J]. IEEE Trans. Signal Processing,1999,47(10):2879～2882.
  • 5[12]Deng Liping, Harris J G. Wavelet denoising of chirp-like signals in the Fourier domain[A]. In:Proceedings of the IEEE International Symposium on Circuits and Systems[C]. Orlando USA, 1999:Ⅲ-540-Ⅲ-543.
  • 6[13]Gunawan D. Denoising images using wavelet transform[A]. In:Proceedings of the IEEE Pacific Rim Conference on Communications, Computers and Signal Processing[C]. Victoria BC,USA, 1999:83～85.
  • 7[14]Baraniuk R G. Wavelet soft-thresholding of time-frequency representations[A]. In:Proceedings of IEEE International Conference on Image Processing[C]. Texas USA,1994:71～74.
  • 8[15]Lun D P K, Hsung T C. Image denoising using wavelet transform modulus sum[A]. In:Proceedings of the 4th International Conference on Signal Processing[C]. Beijing China,1998:1113～1116.
  • 9[16]Hsung T C, Chan T C L, Lun D P K et al. Embedded singularity detection zerotree wavelet coding[A].In:Proceedings of IEEE International Conference on Image Processing[C]. Kobe Japan, 1999:274～278.
  • 10[17]Krishnan S, Rangayyan R M. Denoising knee joint vibration signals using adaptive time-frequency representations[A]. In:Proceedings of IEEE Canadian Conference on Electrical and Computer Engineering 'Engineering Solutions for the Next Millennium[C]. Alberta Canada, 1999:1495～1500.

共引文献262

同被引文献71

引证文献8

二级引证文献33

北京交通大学学报
2007年 第2期

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