منابع مشابه
On Intersecting IFS Fractals with Lines
IFS Fractals the attractors of Iterated Function Systems in Euclidean space have motivated plenty of investigation to date, due to their simplicity and applicability in various fields, such as the modeling of plants in computer graphics, and the design of fractal antennas. The statement and resolution of the Fractal-Line Intersection Problem is imperative for a more efficient treatment of appli...
متن کاملIntersecting Two-Dimensional Fractals with Lines
The Twin Dragon and Rauzy fractals are intersected with the real axis. In the Twin Dragon case, unexpectedly from its fractal nature, the intersection is an interval characterized by a finite automaton. For the case of the Rauzy fractal, it is proved that the intersection has infinitely many components.
متن کاملApollonian Circumcircles of IFS Fractals
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...
متن کاملExplicit Bounding Circles for IFS Fractals
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...
متن کاملMap-colour Rendering of Ifs Fractals
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: Fractals
سال: 2014
ISSN: 0218-348X,1793-6543
DOI: 10.1142/s0218348x14500145