期刊文献+

基于MRA的梅花状伸缩矩阵的二元箱小波紧框架

MRA-Based Bivariate Boxlet Tight Frames with Quincunx Dilation Matrix
下载PDF
导出
摘要 本文针对梅花状的伸缩矩阵 ,给出从任何紧支撑的箱样条函数构造紧支撑箱小波紧框架的具体算法 。 The unitary extension principles suggested by literature make it easier to construct tight wavelet frames.In the paper,we present a concrete algorithm for constructing boxlet wavelet tight frames with quincunx dilation matrix.Some examples are given.
出处 《应用数学》 CSCD 北大核心 2003年第2期66-70,共5页 Mathematica Applicata
关键词 MRA 二元箱 小波紧框架 多分辨分析 梅花状伸缩矩阵 样条函数 尺度函数 MRA Tight wavelet frames Box splines Quincunx dilation matrix
  • 相关文献

参考文献8

  • 1B Han. On dual wavelet tight frames[J]. Appl. Comp. Harmonic Anal. , 1997,4(4):380-413.
  • 2A Ron, Z W Shen. Affine systems in L2 (R^d) : the analysis of the analysis operator[J]. J Functional anal. ,1997,148:408-447.
  • 3A Ron,Z W Shen. Affine systems in Lz (R^d) Ⅱ :dual system[J]. J. Fourier Anal. Appl. , 1997,3:617-637.
  • 4A Ron, Z W Shen. Compactly supported tight affine spline frames in L2 (R^d) [J]. Math. Comp. , 1998,67:191-207.
  • 5A Ron,Z W Shen. Construction of compactly supported affine frames in L2 (R^d) [J]. Advances in Wavelets,K. S. Lau(ed. ) ,1998:27-49.
  • 6K Grochenig, A Ron. Tight compactly supported wavelet frames of arbitrarily high smoothness[J]. Proe.Amer. Math. Soc., 1998,126 (4):1101-1107.
  • 7Charles K Chui, Wenjie He. Compactly supported tight frames associated with refinable functions[J]. Appl. Comput. Harmon. Anal. , 2000,8:293-319.
  • 8Alexander Petukhov. Explicit construction of framelets[J]. Appl. Comput. Harmon. Anal. , 2001,11:313-327.

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