• DocumentCode
    3020047
  • Title

    Explicit construction of vivariate wavelet tight frames with special dilation matrix

  • Author

    Huang, Yong-Dong ; Yang, Miao ; Zhao, Ying-Min ; Cheng, Zheng-Xing

  • Author_Institution
    Inst. of Inf. & Syst. Sci., North Univ. for Nat., Yinchuan, China
  • fYear
    2009
  • fDate
    12-15 July 2009
  • Firstpage
    329
  • Lastpage
    334
  • Abstract
    This paper studies bivariate wavelet tight frames with antidiagonal dilation matrix. The wavelet tight frames is formed by n functions in V1.First, the paper presents sufficient conditions of bivariate wavelet tight frames, and gives explicit constructing formula of bivariate wavelet tight frames. Second, derives the decomposition and reconstruction algorithm of bivariate wavelet tight frames. Finally, gives examples of bivariate wavelet tight frames.
  • Keywords
    matrix decomposition; signal reconstruction; wavelet transforms; antidiagonal dilation matrix; bivariate wavelet tight frames; decomposition algorithm; reconstruction algorithm; signal reconstruction; sufficient conditions; Pattern analysis; Pattern recognition; Wavelet analysis; bivariate wavelet tight frames; decomposition; frames multiresolution analysis; reconstruction;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Wavelet Analysis and Pattern Recognition, 2009. ICWAPR 2009. International Conference on
  • Conference_Location
    Baoding
  • Print_ISBN
    978-1-4244-3728-3
  • Electronic_ISBN
    978-1-4244-3729-0
  • Type

    conf

  • DOI
    10.1109/ICWAPR.2009.5207446
  • Filename
    5207446