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Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (5): 662-.

• Articles • 上一篇    下一篇

APPLICATION OF WAVELET THEORY IN RESEARCH

张红 张选兵 葛修润   

  1. 1. School of Remote Sensing and Information Engineering, Wuhan University, Wuhan 430079, P.R. China;
    2. College of Civil Engineering and Architecture, Fuzhou University, Fuzhou 350002, P.R. China;
    3. Wuhan Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, P.R. China
  • 收稿日期:2003-11-08 修回日期:2004-12-31 出版日期:2005-05-03 发布日期:2005-05-03
  • 通讯作者: ZHANG Hong E-mail:hongzhangwh@163.corn

APPLICATION OF WAVELET THEORY IN RESEARCH

 ZHANG Hong, ZHANG Xuan-Bing, GE Xiu-Run   

  1. 1. School of Remote Sensing and Information Engineering, Wuhan University, Wuhan 430079, P.R. China;
    2. College of Civil Engineering and Architecture, Fuzhou University, Fuzhou 350002, P.R. China;
    3. Wuhan Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, P.R. China
  • Received:2003-11-08 Revised:2004-12-31 Online:2005-05-03 Published:2005-05-03
  • Contact: ZHANG Hong E-mail:hongzhangwh@163.corn

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摘要： Multiresolution analysis of wavelet theory can give an effective way to describe the information at various levels of approximations or different resolutions, based on spline wavelet analysis, so weight function is orthonomaally projected onto a sequence of closed spline subspaces, and is viewed at various levels of approximations or different resolutions. Now, the useful new way to research weight function is found, and the numerical result is given.

关键词: meshless method, weight function, spline wavelet, multiresolution analysis, value mapping, H-stability, H-equivalence

Abstract: Multiresolution analysis of wavelet theory can give an effective way to describe the information at various levels of approximations or different resolutions, based on spline wavelet analysis, so weight function is orthonomaally projected onto a sequence of closed spline subspaces, and is viewed at various levels of approximations or different resolutions. Now, the useful new way to research weight function is found, and the numerical result is given.

Key words: meshless method, weight function, spline wavelet, multiresolution analysis, value mapping, H-stability, H-equivalence

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