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id ga0132
authors Abe, Yoshiyuki
year 2001
title Beyond the math visualization - Geometrica and Stochastica
source International Conference on Generative Art
summary Mathematically controlled imaging process provides attractive results because of its infinite scaling capabilities with some other elements that contribute to the visualization. Its global/local and precise manipulation of parameters holds potential for realizing an unpredictable horizon of imagery. When it meets the artist's taste, this method could be a strong enough system of creation, and I have been producing images using the surfaces of hyperbolic paraboloid. On the other hand, a method absolutely free from the geometric parameter manipulation is possible with a stochastic process [1]. Like the technique of pendulum in photography, while its production rate of acceptable result is very low, its potential of generating a strong visual message is also very attractive. It is possible to set stochastic elements at any stage of the process, and conditional probability on those elements, or the hierarchy of probability management characterizes the probability distribution. Math space has no light. No gravity. No color on the math surfaces. And the math equation providesonly the boundary in 3D or higher mathematical dimensions. The fact means that artists can keep artistic reality with their unique tastes in colors on the surface and light sources, and this is the most important element of the math based imaging. Being able to give artists' own choice of colors and that the artist may take only right ones from the results of a stochastic process guarantee the motif and aesthetics of artist could be reflected onto the work.
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