• DocumentCode
    1046274
  • Title

    Contractivity of fractal transforms for image coding

  • Author

    Hurtgen, B.

  • Author_Institution
    Inst. of Commun. Eng., Aachen Univ. of Technol., Germany
  • Volume
    29
  • Issue
    20
  • fYear
    1993
  • Firstpage
    1749
  • Lastpage
    1750
  • Abstract
    The author examines the contractivity of existing fractal transforms for use in image compressions schemes. The coding process is described as nonlinear transformation in the finite-dimensional Euclidean vector space. Sufficient conditions are derived for contractivity based on the spectral norm and the spectral radius of the transformation matrix. As a result bounds for the encoding parameters can be formulated which are tighter than those ones known so far.
  • Keywords
    data compression; fractals; image coding; matrix algebra; transforms; contractivity; encoding parameters; finite-dimensional Euclidean vector space; fractal transforms; image coding; image compressions schemes; nonlinear transformation; spectral norm; spectral radius; transformation matrix;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:19931165
  • Filename
    274935