Fractals and Statistics: An R Package Called IFS
نویسندگان
چکیده
منابع مشابه
Fractals and Statistics: an R package called ifs
Iterated Function Systems (IFSs) were born in mid eighties (see Hutchinson, 1981; Barnsley and Demko, 1985) as applications of the theory of discrete dynamical systems and as useful tools to build fractals and other similar sets. Some possible applications of IFSs can be found in image processing theory (see e.g., Forte and Vrscay, 1994), in the theory of stochastic growth models and in the the...
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The attractors of Iterated Function Systems in Euclidean space IFS fractals have been the subject of great interest for their ability to visually model a wide range of natural phenomena. Indeed computer-generated plants are often modeled using 3D IFS fractals, and thus their extent in virtual space is a fundamental question, whether for collision detection or ray tracing. A great variety of alg...
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The attractors of Iterated Function Systems in Euclidean space IFS fractals have been the subject of great interest for their ability to visually model a wide range of natural phenomena. Indeed computer-generated plants are often modeled using 3D IFS fractals, and thus their extent in virtual space is a fundamental question, whether for collision detection or ray tracing. A great variety of alg...
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In this paper a simple scheme of map colour is introduced for the colour rendering of IFS fractals. The way of incorporating it into Barnsley's random iteration and versions of Hutchinson's deterministic algorithm is detailed. Examples are presented showing an elegant stylised colouring of such fractals as the Barnsley Fern and the Sierpinski gasket that provide attractive motifs for visualizat...
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ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2003
ISSN: 1556-5068
DOI: 10.2139/ssrn.617409