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Application of Genetic Algorithm to Hausdorff Measure Estimation of Sierpinski Carpet

  • Qili Xiao
  • Lifeng Xi
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4693)

Abstract

In this paper, we discuss the realization of the genetic algorithm on calculating the Hausdorff measure of the Sierpinski gasket with compression ratio 1/2 in detail, mainly including the encoding and decoding method, generation of the initial population, and fitness computation. The experimental results prove that the genetic algorithm is an effective and universal method to calculate Hausdorff measure.

Keywords

Genetic algorithm Sierpinski gasket Hausdorff measure binary string initial population 

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Qili Xiao
    • 1
  • Lifeng Xi
    • 1
  1. 1.School of Computer Science and Information Technology, Zhejiang Wanli University, Ningbo, Zhejiang, 315100P.R. China

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