• DocumentCode
    2863678
  • Title

    Theory of 2D nonseparable optimal m-band wavelets and its applications

  • Author

    Cui, Li ; Li, Hua ; Zhou, Yunshi

  • Author_Institution
    Inst. of Math., Jilin Univ., Changchun, China
  • fYear
    2004
  • fDate
    2004
  • Firstpage
    331
  • Lastpage
    334
  • Abstract
    The theory of 1D generalized multiresolution analysis (GMRA) with quasi-real dilation is put forward. In this paper we will focus on the 2D extension of the optimal m-band wavelets and its applications in planar image processing. Given a class of image, we will present optimal m-band wavelets for them only by a part of samples. The efficiency and superiority of the algorithm can been seen from the processing result of datasets of the human body slices.
  • Keywords
    computational geometry; image resolution; splines (mathematics); wavelet transforms; 2D extension; 2D nonseparable wavelets; generalized multiresolution analysis; human body slices; optimal m-band wavelets; planar image processing; quasireal dilation; Application software; Approximation algorithms; Buildings; Computer graphics; Humans; Image processing; Mathematics; Multiresolution analysis; Spline; Wavelet packets;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Geometric Modeling and Processing, 2004. Proceedings
  • Print_ISBN
    0-7695-2078-2
  • Type

    conf

  • DOI
    10.1109/GMAP.2004.1290054
  • Filename
    1290054