The design of a fractal-based number generator

Chih Chin Huang, Shu Chen Cheng, Yueh Min Huang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This study is to investigate a number generator based on the curve or fold input and use it to simulate and verify the real world events. The main technology is to use and modify the principle and characteristics of fractal interpolation, in combination of our developed Affine Function of Vertical Distance Selection Method and Initial Point Selection Method, as well as various linear data characteristics of the input curves and folds, in order to obtain a series of numbers consistent with the undulation of these curves or folds. Since this method is produced based on Fractal related principles, we call it Fractal Number Generator. From the similarity comparison result between the simulation experimental data and original input data, it can be sure that no matter in simple statistical curve or complex statistical curve, Fractal Number Generator is of extremely high similarity with the original input curves or folds, so Fractal Number Generator can really have the simulation experimental data much more consistent with the curve distribution of historical data and endow the simulation process and result with more reference value.

Original languageEnglish
Title of host publicationProceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010
Pages435-439
Number of pages5
DOIs
Publication statusPublished - 2010 Dec 1
Event3rd International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2010 - Kunming, Yunnan, China
Duration: 2010 Oct 292010 Oct 31

Publication series

NameProceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010

Other

Other3rd International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2010
CountryChina
CityKunming, Yunnan
Period10-10-2910-10-31

All Science Journal Classification (ASJC) codes

  • Computational Theory and Mathematics
  • Computer Science Applications

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  • Cite this

    Huang, C. C., Cheng, S. C., & Huang, Y. M. (2010). The design of a fractal-based number generator. In Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010 (pp. 435-439). [5671262] (Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010). https://doi.org/10.1109/IWCFTA.2010.31