• DocumentCode
    764900
  • Title

    Comments on "A translation- and scale-invariant adaptive wavelet transform"

  • Author

    Jun Tian

  • Author_Institution
    Digimarc Corp., Tualatin, OR, USA
  • Volume
    12
  • Issue
    9
  • fYear
    2003
  • Firstpage
    1091
  • Lastpage
    1093
  • Abstract
    H. Xiong et al. (see ibid., vol.9, p.2100-8, 2000) presented a translationand scale-invariant adaptive wavelet transform. We show that their renormalized signal (pre-wavelet transform) is already translation- and scale-invariant. Thus, it is not just invariant under the wavelet transform. We give a necessary and sufficient condition for renormalized signals to be affine transform invariant.
  • Keywords
    signal processing; wavelet transforms; affine transform invariant; renormalized signal; scale-invariant adaptive wavelet transform; translation-invariant adaptive wavelet transform; Adaptive filters; Discrete transforms; Discrete wavelet transforms; Multiresolution analysis; Polynomials; Signal processing; Sufficient conditions; Wavelet analysis; Wavelet coefficients; Wavelet transforms;
  • fLanguage
    English
  • Journal_Title
    Image Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7149
  • Type

    jour

  • DOI
    10.1109/TIP.2003.815255
  • Filename
    1221762
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=764900