• DocumentCode
    294795
  • Title

    An upper bound on the area occupied by a fractal

  • Author

    Edalat, Abbas ; Sharp, David W.N. ; While, R.Lyndon

  • Author_Institution
    Dept. of Comput., London Univ., UK
  • Volume
    4
  • fYear
    1995
  • fDate
    9-12 May 1995
  • Firstpage
    2443
  • Abstract
    Fractal images defined by an iterated function system (IFS) are specified by a finite number of contractive affine transformations. In order to plot the image specified by the transformations on the screen of a digital computer, it is necessary to determine a bounding area for the image. This paper derives a formula that expresses the dimensions of this bounding area in terms of the transformations
  • Keywords
    fractals; image processing; iterative methods; transforms; bounding area; contractive affine transformations; digital computer; dimensions; fractal images; iterated function system; Computer errors; Computer science; Educational institutions; Equations; Fractals; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on
  • Conference_Location
    Detroit, MI
  • ISSN
    1520-6149
  • Print_ISBN
    0-7803-2431-5
  • Type

    conf

  • DOI
    10.1109/ICASSP.1995.479987
  • Filename
    479987