Escape-time Visualization Method for Language-restricted Iterated Function Systems Escape-time Visualization Method for Language-restricted Iterated Function Systems
نویسندگان
چکیده
The escape-time method was introduced to generate images of Julia and Mandelbrot sets, then applied to visualize attractors of iterated function systems. This paper extends it further to language-restricted iterated function systems (LRIFS's). They generalize the original deeni-tion of IFS's by providing means for restricting the sequences of applicable transformations. The resulting at-tractors include sets that cannot be generated using ordinary IFS's. The concepts of this paper are expressed using the terminology of formal languages and nite au-tomata.
منابع مشابه
Escape-time Visualization Method for Language-restricted Iterated Function Systems
The escape-time method was introduced to generate images of Julia and Mandelbrot sets, then applied to visualize attractors of iterated function systems. This paper extends it further to language-restricted iterated function systems (LRIFS's). They generalize the original de nition of IFS's by providing means for restricting the sequences of applicable transformations. The resulting attractors ...
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