The visualization of hyperbolic patterns from invariant mapping method

被引：13

作者：

Ouyang, Peichang ^{[1
,2
]}

Cheng, Dongsheng ^{[1
]}

Cao, Yanhua ^{[2
]}

Zhan, Xiaogen ^{[2
]}

机构：

[1] Sun Yat Sen Univ, Dept Sci Comp & Comp Applicat, Guangzhou, Guangdong, Peoples R China

[2] Jinggangshan Univ, Sch Math & Phys, Jian, Jiangxi, Peoples R China

来源：

COMPUTERS & GRAPHICS-UK | 2012年 / 36卷 / 02期

关键词：

Hyperbolic geometry; Symmetry group; Aesthetic pattern; Invariant mapping; Orbit trap; GENERATING ARTISTIC IMAGES; TRAP RENDERING METHODS; TESSELLATIONS; SYSTEMS;

D O I：

10.1016/j.cag.2011.12.005

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

A fast algorithm is developed to transform an arbitrary point into fundamental regions, which avoids the intrinsic difficulty of the infiniteness of hyperbolic groups. A flexible construction of invariant mappings, independent of the mapping form, is achieved by imposing the continuity of the mapping on its parameters. The fast algorithm combined with the resulting invariant mapping contributes to a simple and efficient method to generate various aesthetic hyperbolic patterns. Crown Copyright (C) 2011 Published by Elsevier Ltd. All rights reserved.

引用

页码：92 / 100

页数：9

共 21 条

[1] Iterated function systems with symmetry in the hyperbolic plane [J].