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Reseach Article

IFS Fractals generated by Affine Transformation with Trigonometric Coefficients and their Transformations

by T. Gangopadhyay
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 53 - Number 15
Year of Publication: 2012
Authors: T. Gangopadhyay
10.5120/8499-2447

T. Gangopadhyay . IFS Fractals generated by Affine Transformation with Trigonometric Coefficients and their Transformations. International Journal of Computer Applications. 53, 15 ( September 2012), 29-32. DOI=10.5120/8499-2447

@article{ 10.5120/8499-2447,
author = { T. Gangopadhyay },
title = { IFS Fractals generated by Affine Transformation with Trigonometric Coefficients and their Transformations },
journal = { International Journal of Computer Applications },
issue_date = { September 2012 },
volume = { 53 },
number = { 15 },
month = { September },
year = { 2012 },
issn = { 0975-8887 },
pages = { 29-32 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume53/number15/8499-2447/ },
doi = { 10.5120/8499-2447 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:54:11.937742+05:30
%A T. Gangopadhyay
%T IFS Fractals generated by Affine Transformation with Trigonometric Coefficients and their Transformations
%J International Journal of Computer Applications
%@ 0975-8887
%V 53
%N 15
%P 29-32
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In IFS fractals generated by affine transformations with arbitrary coefficients often there is a lot of chaotic noise. In the present paper we study the effect of related trigonometric coefficients on affine transformations in terms of the IFS fractals generated by them. The use of related trigonometric functions as coefficients reduces the randomness of the scatter and generates meaningful shapes more frequently.

References
  1. Barnsley, M. 1983 Fractals Everywhere, Academic Press.
  2. Bulaevsky, J. "The Dragon Curve or Jurassic Park fractal. "http://ejad. best. vwh. net/java/fractals/jurasic. shtml.
  3. De Jong, P. 1995 de Jong attractors, described in "The pattern book, Fractals, Art and Nature" by Clifford Pickover.
  4. Draves, S. 1992 The Fractal Flame Algorithm, flame3. com/flame-draves. pdf.
  5. Gangopadhyay, T. 2012 On generating skyscapes through escape-time fractals, International journal of Computer Applications 43(2012)17-19.
  6. Gangopadhyay, T. 2012 On Transforming Popcorn Fractals With Spherical And Other Functions, International journal of Computer Applications 50(2012)28-32.
  7. Gardner, M. 1978 Mathematical Magic Show: More Puzzles, Games, Diversions, Illusions and Other Mathematical Sleight-of-Mind from Scientific American. New York: Vintage, pp. 207-209 and 215-220.
  8. Perlin, K. 'Coherent noise function', original source code, http://mrl. nyu. edu/~perlin/doc/oscar. html#noise.
  9. Pickover C. quoted in Fractint formula documentation, www. nahee. com/spanky/www/fractint/popcorn_type. html.
  10. Pickover, C. Clifford attractors, http://paulbourke. net /fractals/clifford/index. html
Index Terms

Computer Science
Information Sciences

Keywords

affine IFS swirl horseshoe trigonometric