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Gbachelier: Die Seite wurde neu angelegt: „ == Reference == Sven Banisch, Mateu Sbert: Fast Visualisation and Interactive Design of Deterministic Fractals. In: Douglas W. Cunningham, Victoria Interrant…“

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== Reference ==
Sven Banisch, Mateu Sbert: Fast Visualisation and Interactive Design of Deterministic Fractals. In: Douglas W. Cunningham, Victoria Interrante, Paul Brown, Jon McCormack (Eds.): Eurographics Workshop on Computational Aesthetics, 2008. 17-24

== DOI ==http://dx.doi.org/10.2312/COMPAESTH/COMPAESTH08/017-024

== Abstract ==
This paper describes an interactive software tool for the visualisation and the design of artistic fractal images. The software (called AttractOrAnalyst) implements a fast algorithm for the visualisation of basins of attraction of iterated function systems, many of which show fractal properties. It also presents an intuitive technique for fractal shape exploration. Interactive visualisation of fractals allows that parameter changes can be applied at run time. This enables real-time fractal animation. Moreover, an extended analysis of the discrete dynamical systems used to generate the fractal is possible. For a fast exploration of different fractal shapes, a procedure for the automatic generation of bifurcation sets, the generalizations of the Mandelbrot set, is implemented. This technique helps greatly in the design of fractal images. A number of application examples proves the usefulness of the approach, and the paper shows that, put into an interactive context, new applications of these fascinating objects become possible. The images presented show that the developed tool can be very useful for artistic work.

== Extended Abstract ==

== Bibtex ==

== Used References ==
A. J. CRILLY R. A. E., JONES H. (Eds.): Applications of Fractals and Chaos - The Shape of Things, first ed. Springer Verlag, 1993.

Michael Barnsley, Fractals everywhere, Academic Press Professional, Inc., San Diego, CA, 1988 http://dl.acm.org/citation.cfm?id=59931&CFID=588525319&CFTOKEN=29804931

BRONSTEIN I., SEMENDJAJEW K., MUSIOL G., MÜHLIG H.: Taschenbuch der Mathematik. Verlag Harri Deutsch, Frankfurt am Main, Thun, 1997. 3. Ausgabe.

DEVANEY R. L.: An Introduction to Chaotic Dynamical Systems, second ed. Addison-Wesley Publishing Company, 1989.

Robert L. Devaney, Chaos, fractals, and dynamics: computer experiments in mathematics, Addison-Wesley Longman Publishing Co., Inc., Boston, MA, 1990 http://dl.acm.org/citation.cfm?id=140001&CFID=588525319&CFTOKEN=29804931

Fractal explorer, 2006. http://www.eclectasy.com/Fractal-Explorer/index.html, (accessed November 17, 2007).

GIFFIN N.: Fractint. Fractint Homepage, http://spanky.triumf.ca/www/fractint/fractint.html, (accessed November 17, 2007).

J. C. VASSILICOS A. D., TATA F.: No Evidence of Chaos But Some Evidence of Multifractals in the Foreign Exchange and the Stock Markets, first ed. Springer Verlag, 1993, pp. 249-265.

JULIA G. M.: Mémoire sur l'itération des fonctions rationnelles, 1918. Memoir on iterations of rational functions, Translated in English by A. Rosa, 2001, http://www.emis.de/journals/AMEN/.

JARRET D., XIAOYAN Z.: The Dynamic Behaviour of Road Traffic Flow: Stability or Chaos?, first ed. Springer Verlag, 1993, pp. 237-248.

LEE P. N.: Fractal links. Fractal Software Programs & Links on Paul N. Lee's website, http://home.att.net/˜Paul.N.Lee/Fractal_Software.html, (accessed November 17, 2007).

LORENZ E. N.: Deterministic nonperiodic flow. J. Atmos. Sci. 20 (1963), 130-141.

Benoit B. Mandelbrot, Fractals and Scaling In Finance: Discontinuity, Concentration, Risk, Springer Publishing Company, Incorporated, 2010 http://dl.acm.org/citation.cfm?id=1965357&CFID=588525319&CFTOKEN=29804931

P. Prusinkiewicz , Aristid Lindenmayer, The algorithmic beauty of plants, Springer-Verlag New York, Inc., New York, NY, 1990 http://dl.acm.org/citation.cfm?id=83596&CFID=588525319&CFTOKEN=29804931

SILVERMAN R. A.: Introductary Complex Analysis, first ed. Dover Publications, Inc./ New York, 1972.

Ultra fractal: Advanced fractal animation software, 2007. http://www.ultrafractal.com, (accessed November 17, 2007).

ZHAO X.-Q.: Dynamical Systems in Population Biology, first ed. Springer Verlag, 2003.

== Links ==
=== Full Text ===
http://www.researchgate.net/profile/Sven_Banisch/publication/220795332_Fast_Visualisation_and_Interactive_Design_of_Deterministic_Fractals/links/53d620000cf2a7fbb2ea8996?ev=pub_ext_doc_dl&origin=publication_list&inViewer=true

[[intern file]]

=== Sonstige Links ===
http://dl.acm.org/citation.cfm?id=2381333.2381337&coll=DL&dl=GUIDE&CFID=588525319&CFTOKEN=29804931

← Nächstältere Version		Version vom 8. November 2015, 18:01 Uhr
Zeile 13:		Zeile 13:

	== Bibtex ==		== Bibtex ==
		+	@inproceedings{Banisch:2008:FVI:2381333.2381337,
		+	author = {Banisch, Sven and Sbert, Mateu},
		+	title = {Fast Visualisation and Interactive Design of Deterministic Fractals},
		+	booktitle = {Proceedings of the Fourth Eurographics Conference on Computational Aesthetics in Graphics, Visualization and Imaging},
		+	series = {Computational Aesthetics'08},
		+	year = {2008},
		+	isbn = {978-3-905674-08-8},
		+	location = {Lisbon, Portugal},
		+	pages = {17--24},
		+	numpages = {8},
		+	url = {http://dx.doi.org/10.2312/COMPAESTH/COMPAESTH08/017-024, http://de.evo-art.org/index.php?title=Fast_Visualisation_and_Interactive_Design_of_Deterministic_Fractals },
		+	doi = {10.2312/COMPAESTH/COMPAESTH08/017-024},
		+	acmid = {2381337},
		+	publisher = {Eurographics Association},
		+	address = {Aire-la-Ville, Switzerland, Switzerland},
		+	}

	== Used References ==		== Used References ==

@@ Zeile 4: / Zeile 4: @@
 Sven Banisch, Mateu Sbert: Fast Visualisation and Interactive Design of Deterministic Fractals. In: Douglas W. Cunningham, Victoria Interrante, Paul Brown, Jon McCormack (Eds.): Eurographics Workshop on Computational Aesthetics, 2008. 17-24
-== DOI ==http://dx.doi.org/10.2312/COMPAESTH/COMPAESTH08/017-024
+== DOI ==
 == Abstract ==

Fast Visualisation and Interactive Design of Deterministic Fractals - Versionsgeschichte

Gubachelier am 8. November 2015 um 18:01 Uhr

Gbachelier am 2. Dezember 2014 um 16:12 Uhr

Gbachelier: Die Seite wurde neu angelegt: „ == Reference == Sven Banisch, Mateu Sbert: Fast Visualisation and Interactive Design of Deterministic Fractals. In: Douglas W. Cunningham, Victoria Interrant…“