Presentation 1998/2/19
Efficient Linear Fractal Algorithm for Computing the Continuous Escape-Time Classifications
Hussein Karam, Aboul Hassanien Ella, Masayuki NAKAJIMA,
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Abstract(in English) Escape-time method was introduced to visualize the attractors of interated function systems (IFS) and generating images of Julia and Mandelbrot sets. In this paper, methods for classifying points in the complement of the linear fractal shapes using escape-time algorithm are discussed. We propose an algorithm for the computation of the continuous escape-time which, has fast computations and simple representation of the linear fractal shapes. Extension for representing three dimensional linear fractals are also given.
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Keyword(in English) Fractal Geometry / iterated function system / recurrent iterated function system / escape time methods / graphics algorithm and measure theory
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Committee PRMU
Conference Date 1998/2/19(1days)
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Registration To Pattern Recognition and Media Understanding (PRMU)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Efficient Linear Fractal Algorithm for Computing the Continuous Escape-Time Classifications
Sub Title (in English)
Keyword(1) Fractal Geometry
Keyword(2) iterated function system
Keyword(3) recurrent iterated function system
Keyword(4) escape time methods
Keyword(5) graphics algorithm and measure theory
1st Author's Name Hussein Karam
1st Author's Affiliation Graduate School of Information Science & Engineering, Tokyo Institute of Technology()
2nd Author's Name Aboul Hassanien Ella
2nd Author's Affiliation Graduate School of Information Science & Engineering, Tokyo Institute of Technology
3rd Author's Name Masayuki NAKAJIMA
3rd Author's Affiliation Graduate School of Information Science & Engineering, Tokyo Institute of Technology
Date 1998/2/19
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Volume (vol) vol.97
Number (no) 558
Page pp.pp.-
#Pages 6
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