期刊文献+

利用对偶树复数小波与全变差模型实现图像去噪的新方法 被引量:4

New Image Denoising Approach via Dual-tree Complex Wavelet and Total-variation Model
下载PDF
导出
摘要 本文首先研究了一种三层小波系数相关萎缩的概念与性质,利用对偶树复数小波与全变差模型相结合,提出了一种新的图像去噪方法。实验结果表明,与现有的图像去噪方法相比,本文方法无论是在视觉还是在均方误差等方面均有更好的效果。 In this paper we propose the concept of three - layer shrinkage function and discuss related property, using the combination of dual - tree complex wavelet transform and total variation model, a new image denoising approach is achieved. We demonstrate through simulations with images contaminated that the performance of the proposed method surpass that of previously published method both visually and in terms of mean squared error.
作者 舒世昌
出处 《数学理论与应用》 2010年第1期77-82,共6页 Mathematical Theory and Applications
基金 国家自然科学基金(No:60573027) 湖南省教育厅科研基金(No:06D040)资助
关键词 复数小波 全变差 图像去噪 Complex wavelet Total- variation Image denoising
  • 相关文献

参考文献4

  • 1Donoho D. L. Orthonormal ridgelets and linear singularities[ J]. SIAM Journal on Mathametical Analysis 2000, 31 (5) ,1062 - 1099.
  • 2Candes E. J. , Donoho D.L. Curvelets, multiresolution representation, and scaling laws [ J ]. In: A. Aldroubi, A. Fiaine, M. A. Unser (eds.). Proc. SPIE 4119;2000.
  • 3Kingsbury N. Image processing with complex wavelets[ J]. Phil Trans R Soc London A, Math Phys Sci 1999, 357 (1760) ,2543 - 2560.
  • 4Luisler F. , Blu T. , Unser M. A new SURE approach to image denoising: interscale orthonormal wavelet thresh- olding[J]. IEEE Trans on Image Processing, 2007,16(3).

同被引文献65

  • 1张忠辅,王建方,王维凡,王流星.若干平面图的完备色数[J].中国科学(A辑),1993,23(4):363-368. 被引量:16
  • 2刘彦佩.组合地图的不对称化[J].沈阳师范大学学报(自然科学版),2005,23(2):97-103. 被引量:4
  • 3徐志才.A(Q)类平面图及其可4─着色的证明[J].北京邮电大学学报,1996,19(1):91-94. 被引量:3
  • 4TUTI'E W T. Graph Theory[M]. Beijing: China Machine Press, 2004.
  • 5ZHANG Huaming, HE Xin. On simultaneous straight-line grid embedding of a planar graph and its dual[J]. Information Processing Letters, 2006,99( 1 ) .1 - 6.
  • 6IVAN B L, RAFFAELE M, MULLER H. On stable eutsets in claw-free graphs and planar graphs[J]. Journal of Discrete Algorithms, 2008,6 (2) : 256 - 276.
  • 7LOWELL W B, ROBIN J W. Selected Topics in Graph Theory[M]. London: Academic Press, 1978.
  • 8DOUGLAS B W. Introduction to Graph Theory[M]. Beijing: China Machine Press, 2004.
  • 9BOLLOBAS B. Extrarnal Graph Theory[M]. London: Academic Press, 1978.
  • 10HEAWOOD P J. Map colour theorems[J]. The Quarterly Joumal of Mathematics, 1890,24(2) :332 - 338.

引证文献4

二级引证文献1

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