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The Pushpa Publishing House proposes to organize a five day "International Conference on Mathematics of Date" from December 31, 2010 to January 04, 2011 scheduled to be held at Allahabad, India.

 
  International Journal of Information Science and Computer Mathematics  
 ISSN: 1829-4969
 
 
 

     International Journal of Information Science and Computer Mathematics
    Volume 1, Issue 1, Pages 37 - 48 (February 2010)


SOME COLOR SCHEMES IN MANDEL FRACTAL IMAGE GENERATION

S. Sukumaran and M. Punithavalli

Received September 25, 2009

References:



[1] M. F. Barnsley, Fractals Everywhere, Academic Press, 1988.

[2] M. F. Barnsley, R. L. Devaney, B. B. Mandelbrot, H. Peitgen, D. Saupe and P. F. Vos, The Science of Fractal Images, Springer-Verlag, 1988.

[3] Stephen D. Casey and Nicholas F. Reingold, Self-similar fractal set: theory and procedure, IEEE Computer Graphics and Applications 14(3) (1994), 73-82.

[4] Robert L. Devaney, An Introduction to Chaotic Dynamical Systems, Addison-Wesley, 1989.

[5] Robert L. Devaney and Linda Keen, eds., Chaos and Fractals: The Mathematics Behind the Computer Graphics, Amer. Math. Soc. 1989.

[6] V. Drakopoulos, N. Mimikou and T. Theoharis, An overview of parallel visualization methods for Mandelbrot and Julia sets, Computers & Graphics 27(4) (2003), 635-646.

[7] Kenneth Falconer, Techniques in Fractal Geometry, John Wiley & Sons, 1997.

[8] Uday G. Gujar, Virendra C. Bhavsar, Sthephen Y. M. Choi and Prem K. Kalra, Traversed geometric fractals, IEEE Computer Graphics and Applications 13(5) (1993), 61-67.

[9] Donald Hearn and M. Pauline Baker, Computer Graphics, Prentice-Hall of India, 1992.

[10] Kenneth J. Hooper, A note on some internal structures of the Mandelbrot set, Computers & Graphics 15(2) (1991), 295-297.

[11] B. B. Mandelbrot, The Fractal Geometry of Nature, W. H. Freeman and Company, 1982.

[12] H. O. Peitgen, Peter H. Richter and P. H. Richter, The Beauty of Fractals: Images of Complex Dynamical Systems, Springer-Verlag, New York, 1986.

[13] Kenelm W. Philip, Field lines in the Mandelbrot set, Computers & Graphics 16(4) (1992), 443-447.

[14] C. A. Pickover, Chaos in Wonderland, St. Martin’s Press, 1994.

[15] Ken Shirriff, Fractals from simple polynomial composite functions, Computers & Graphics 17(6) (1993), 701-703.

Keywords and phrases: fractal, Mandel set, binary decomposition.

Communicated by Kewen Zhao

 


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