Real-time Tool for Affine Transformations of Two Dimensional IFS Fractals

Autor:	Hadzieva, Elena, Shuminoska, Marija
Rok vydání:	2015
Předmět:	Computer Science - Graphics 28A80 65D17
Druh dokumentu:	Working Paper
Popis:	This work introduces a novel tool for interactive, real-time transformations of two dimensional IFS fractals. We assign barycentric coordinates (relative to an arbitrary affine basis of $\mathbb{R}^2$) to the points that constitute the image of a fractal. The tool uses some of the nice properties of the barycentric coordinates, enabling any affine transformation of the basis, done by click-and-drag, to be immediately followed by the same affine transformation of the IFS fractal attractor. In order to have a better control over the fractal, as affine basis we use a kind of minimal simplex that contains the attractor. We give theoretical grounds of the tool and then the software application. Comment: 8 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1504.02744 Zobrazit plný text záznamu View this record from Arxiv