Fast Visualisation and Interactive Design of Deterministic Fractals (English)

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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.

Table of contents conference proceedings

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1
Inadvertent - Ars Accidentalis
Germen, Murat | 2008
9
Composition in Perspectives
Fourquet, Elodie | 2008
17
Fast Visualisation and Interactive Design of Deterministic Fractals
Banisch, Sven / Sbert, Mateu | 2008
25
Animating Persian Floral Patterns
Etemad, Katayoon / Samavati, Faramarz F. / Prusinkiewicz, Przemyslaw | 2008
33
Seamless Integration of Labels into Interactive Virtual 3D Environments Using Parameterized Hulls
Maass, Stefan / Döllner, Jürgen | 2008
41
The Aesthetics of the Underworld
Boukhelifa, Nadia / Duke, David J. | 2008
49
Expressive Trajectories
Velho, Luiz / Martins, Julio / Bodanzky, Alice / Paterman, Ilana / Cordeiro, Analivia | 2008
57
Watercolor Illustrations of CAD Data
Luft, Thomas / Kobs, Frank / Zinser, Walter / Deussen, Oliver | 2008
65
Arty Shapes
Song, Yi-Zhe / Rosin, Paul L. / Hall, Peter M. / Collomosse, John | 2008
73
Mimicking Hand-Drawn Pencil Lines
Meraj, Zainab / Wyvill, Brian / Isenberg, Tobias / Gooch, Amy A. / Guy, Richard | 2008
81
Modeling and Synthesis of Aperture Effects in Cameras
Lanman, Douglas / Raskar, Ramesh / Taubin, Gabriel | 2008
89
Applications of High Precision Imaging Polarimetry
Neumann, Laszlo / Hegedus, Ramon / Horváth, Gábor / Garcia, Rafael | 2008
99
Improving Scans of Black and White photographs by Recovering the Print Maker's Artistic Intent
German, Daniel M. | 2008
107
Regularity and Randomness in Bridget Riley's Aarly Op Art
Dodgson, Neil A. | 2008
115
Informational Dialogue with Van Gogh's Paintings
Rigau, Jaume / Feixas, Miquel / Sbert, Mateu | 2008
123
Pictorial Analysis of Line-drawings
Hurtut, Thomas / Gousseau, Yann / Cheriet, Farida / Schmitt, Francis | 2008
131
Perceptual and Computational Categories in Art
Wallraven, Christian / Cunningham, Douglas W. / Fleming, Roland | 2008