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
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;
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
DOI :
10.1109/ICYCS.2008.196
