• DocumentCode
    1849509
  • Title

    Hausdorff Dimension of a Class of Self-affine Fractals Generated by Linear Fibre Coding

  • Author

    Gui, Yongxin ; Zhou, Zhiming

  • Author_Institution
    Dept. of Math., Xianning Coll., Xianning
  • fYear
    2008
  • fDate
    18-21 Nov. 2008
  • Firstpage
    2879
  • Lastpage
    2884
  • Abstract
    In this paper we study a class of subsets of the general Sierpinski carpets for which frequencies of the horizontal fibres have linear relation. We calculate the Hausdorff dimension of these subsets and give necessary and sufficient conditions for the corresponding Hausdorff measure to be positive and finite.
  • Keywords
    computational geometry; fractals; Hausdorff dimension; general Sierpinski carpets; horizontal fibres; linear fibre coding; linear relation; necessary conditions; self-affine fractals; sufficient conditions; Fractals; Hausdorff dimension; Hausdorff measure; self-affine set; the general Sierpi´nski carpets; the horizontal fibres;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Young Computer Scientists, 2008. ICYCS 2008. The 9th International Conference for
  • Conference_Location
    Hunan
  • Print_ISBN
    978-0-7695-3398-8
  • Electronic_ISBN
    978-0-7695-3398-8
  • Type

    conf

  • DOI
    10.1109/ICYCS.2008.196
  • Filename
    4709439
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1849509