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== Bibtex ==  
 
== Bibtex ==  
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== Used References ==
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Ashlock, D.: Evolutionary exploration of the Mandelbrot set. In: Proceedings of the 2006 Congress On Evolutionary Computation, pp. 7432–7439 (2006)
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eNZed Blue: The Koruandelbrot (2005). http://www.enzedblue.com/Fractals/Fractals.html
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Dawkins, R.: The Blind Watchmaker — Why the Evidence of Evolution Reveals a Universe Without Design. W. W. Norton and Company (1986)
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Dewdney, A.: Computer recreations: a computer microscope zooms in for a look at the most complex object in mathematics. Scientific American pp. 16–25 (1985)
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Dickerson, R.: Higher-order Mandelbrot fractals: experiments in nanogeometry (2006). http://mathforum.org/library/view/65021.html
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Douady, A., Hubbard, J.: Etude dynamique des polynomes complexes, I and II. Publ. Math. Orsay (1984, 1985)
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Goldberg, D.: Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley (1989)
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Koza, J.: Genetic Programming: On the Programming of Computers by Means of Natural Selection. MIT Press (1992)
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Lakoff, G., Núnez, R.: Where Mathematics Comes From — How the Embodied Mind Brings Mathematics Into Being. Basic Books (2000)
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Mandelbrot, B.: The Fractal Geometry of Nature. W. H. Freeman and Company (1977)
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McCormack, J.: Open problems in evolutionary music and art. Lecture Notes in Computer Science 3449, 428–436 (2005)
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Peitgen, H., Saupe, D. (eds.): The Science of Fractal Images. Springer-Verlag (1988)
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Penrose, R.: The Road to Reality, A Complete Guide to the Laws of the Universe, Knopf (2004)
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Pickover, C.: Computers, Pattern, Chaos, and Beauty — Graphics From an Unseen World. St. Martins Press (1990)
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Rooke, S.: Eons of genetically evolved algorithmic images. In: P. Bentley, D. Corne (eds.) Creative Evolutionary Systems. Morgan Kaufmann, San Francisco, CA (2001)
 +
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Sims, K.: Artificial evolution for computer graphics. In: Proceedings of the 18th annual conference on Computer graphics and interactive techniques, pp. 319–328 (1991)
 +
 +
Todd, S., Latham, W.: Evolutionary Art and Computers. Academic Press (1992)
 +
 +
Ushiki, S.: Phoenix. IEEE Transactions on Circuits and Systems 35(7), 788 (1988)
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Ventrella, J.: Explorations in the emergence of morphology and locomotion behaviour in animated characters. In: R. Brooks, P. Maes (eds.) Artificial Life IV — Proceedings of the 4th International Workshop on the Synthesis and Simulation of Living Systems, pp. 436–441. MIT Press (1994)
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Ventrella, J.: Mandeltweaks (2004). http://www.ventrella.com/Tweaks/MandelTweaks/tweaks.html
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Ventrella, J.: Mandelswarm — particle swarm seeks the boundary of the Mandelbrot Set (2005). http://www.ventrella.com/Tweaks/MandelTweaks/MandelSwarm/MandelSwarm.html
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== Links ==
 
== Links ==

Version vom 11. Oktober 2014, 19:53 Uhr


Referenz

Ventrella, Jeffrey: Evolving the Mandelbrot Set to Imitate Figurative Art. In: Hingston & Barone & Michalewicz: Design by Evolution, Springer, Berlin, 2008. S. 145-168.

DOI

http://link.springer.com/10.1007/978-3-540-74111-4_9

Abstract

This chapter describes a technique for generating semi-abstract figurative imagery using variations on the Mandelbrot Set equation, evolved with a genetic algorithm. The Mandelbrot Set offers an infinite supply of complex fractal imagery, but its expressive ability is limited, as far as being material for visual manipulation by artists. The technique described here achieves diverse imagery by manipulating the mathematical function that generates the Set.

Extended Abstract

Bibtex

Used References

Ashlock, D.: Evolutionary exploration of the Mandelbrot set. In: Proceedings of the 2006 Congress On Evolutionary Computation, pp. 7432–7439 (2006)

eNZed Blue: The Koruandelbrot (2005). http://www.enzedblue.com/Fractals/Fractals.html

Dawkins, R.: The Blind Watchmaker — Why the Evidence of Evolution Reveals a Universe Without Design. W. W. Norton and Company (1986)

Dewdney, A.: Computer recreations: a computer microscope zooms in for a look at the most complex object in mathematics. Scientific American pp. 16–25 (1985)

Dickerson, R.: Higher-order Mandelbrot fractals: experiments in nanogeometry (2006). http://mathforum.org/library/view/65021.html

Douady, A., Hubbard, J.: Etude dynamique des polynomes complexes, I and II. Publ. Math. Orsay (1984, 1985)

Goldberg, D.: Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley (1989)

Koza, J.: Genetic Programming: On the Programming of Computers by Means of Natural Selection. MIT Press (1992)

Lakoff, G., Núnez, R.: Where Mathematics Comes From — How the Embodied Mind Brings Mathematics Into Being. Basic Books (2000)

Mandelbrot, B.: The Fractal Geometry of Nature. W. H. Freeman and Company (1977)

McCormack, J.: Open problems in evolutionary music and art. Lecture Notes in Computer Science 3449, 428–436 (2005)

Peitgen, H., Saupe, D. (eds.): The Science of Fractal Images. Springer-Verlag (1988)

Penrose, R.: The Road to Reality, A Complete Guide to the Laws of the Universe, Knopf (2004)

Pickover, C.: Computers, Pattern, Chaos, and Beauty — Graphics From an Unseen World. St. Martins Press (1990)

Rooke, S.: Eons of genetically evolved algorithmic images. In: P. Bentley, D. Corne (eds.) Creative Evolutionary Systems. Morgan Kaufmann, San Francisco, CA (2001)

Sims, K.: Artificial evolution for computer graphics. In: Proceedings of the 18th annual conference on Computer graphics and interactive techniques, pp. 319–328 (1991)

Todd, S., Latham, W.: Evolutionary Art and Computers. Academic Press (1992)

Ushiki, S.: Phoenix. IEEE Transactions on Circuits and Systems 35(7), 788 (1988)

Ventrella, J.: Explorations in the emergence of morphology and locomotion behaviour in animated characters. In: R. Brooks, P. Maes (eds.) Artificial Life IV — Proceedings of the 4th International Workshop on the Synthesis and Simulation of Living Systems, pp. 436–441. MIT Press (1994)

Ventrella, J.: Mandeltweaks (2004). http://www.ventrella.com/Tweaks/MandelTweaks/tweaks.html

Ventrella, J.: Mandelswarm — particle swarm seeks the boundary of the Mandelbrot Set (2005). http://www.ventrella.com/Tweaks/MandelTweaks/MandelSwarm/MandelSwarm.html


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