二维EMD分解方法的比较与改进

宋立新; 高凤娇; 郗朝晖

doi:10.3724/SP.J.1146.2007.01871

二维EMD分解方法的比较与改进

doi: 10.3724/SP.J.1146.2007.01871

基金项目:

黑龙江省教育厅科学技术研究项目(11511086)资助课题

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出版历程
- 收稿日期: 2007-12-03
- 修回日期: 2008-03-31
- 刊出日期: 2008-12-19

Compared and Improved Research of Bidimensional Empirical Mode Decomposition Method

摘要

摘要: 该文给出了二维经验模态分解(BEMD)的实现方法，针对实现二维EMD的两种常用插值方式三角剖分插值和径向基函数插值，通过理论和计算实践分析比较了两种插值方式的速度、视觉效果等，提出两种方法相结合的BEMD实现方法。同时，针对径向基函数插值方式提出了一种快速方法。该方法避免了求解大型线性方程组以及大矩阵的产生，较好地降低了时间和空间复杂度，提高了计算速度。实验结果证明了该方法的可行性和优越性。
- 图像处理 /
- 二维EMD /
- 多尺度分析 /
- 径向基函数
Abstract: In this paper, the implement process and application in image processing of bidimensinal EMD are given. Two interpolation methods are analyed and comperad in arithmetic speed and visual efficiency with experiments and theory, Delaunay triangulation based cubic spline interpolation and radial basis function interpolation which are usually used.At the same time, a new fast decomposition based on radial basis function interpolation is suggested. Its superiorities are also analyzed. The results prove this method is feasible, and its superiorities are obvrious.
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[1] Huang N E, Zheng Shen, and Long S R, et al.. The empiricalmode decomposition method and the Hilbert spectrum fornon-stationary time series analysis [D]. Proc. R. Soc. London.Ser. A, 1998, 9454(1971): 903-995. [2] Huang N E and Zhaohua Wu. A study of the characteristicsof white noise using the empirical mode decompositionmethod [J].Proc. Roy. Soc. London. A.2004, 460:1597-1611 [3] Nunes J C, Niang O, and Bouaoune Y, et al.. BidimensionalEmpirical mode decomposition modified for texture analysis.Scandinavian Conference on Image Analysis [C]. SCIA, June29-July 2, 2003: 171-177. [4] 宋舰平, 张杰. 二维经验模分解在海洋遥感图像信息分离中的应用[J]. 高科技通讯, 2001, 9: 62-67. [5] 沈滨, 崔峰, 彭思龙. 二维EMD的纹理分析及图像瞬时频率估计[J]. 计算机辅助设计与图形学学报, 2005, 17(10):2345-2352. [6] Zhongxuan Liu and Silong Peng. Boundary processing ofbidimensional EMD using texture synthesis [J]. IEEE SignalProcessing Letter, 2005, 12(1): 33-36. [7] Christophe Damerval, Sylvain Meignen, and Valrie Perrier.A fast algorithm for bidimensional EMD [J].IEEE SignalProcessing Letters.2005, 12(10):701-704 [8] Linderhed A. 2D empirical mode decomposition in the spiritof image compression [J]. Wavelet and IndependentComponent Analysis Application IX, SPIE Processings. 2002,4738: 1-8. [9] Nunes J C, Guyot S, and Del echelle E. Texture analysi sbased on local analysis of the Bidimensional Empirical ModeDecomposition [J].Machine Vision and Applications.2005,16:177-188 [10] 谢国瑞线性代数[M]. 上海: 华东理工大学出版社, 1996, 第2章. [11] 米兰, 许海波. 基于边缘提取的图像拼接[J]. 计算机应用研究,2007, 25(5): 318-320.

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