计算机工程与应用Issue(23):27-30,4.DOI:10.3778/j.issn.1002-8331.1307-0149
具有反射群对称性的球面图案自动生成
Automatic generation of aesthetical spherical patterns
摘要
Abstract
Equivariant mapping method is not only difficult to be implemented, but also constrained by the order of symmetry group. Drawn on the experience of the invariant theory of finite reflection group, this paper proposes an invariant mapping method to yield aesthetical spherical patterns and establishes a method to create infinite spherical patterns automatically. This method not only is easy to be implemented, but also can be extended to deal with the cases in the higher dimensional spaces.关键词
有限反射群/正多面体/不变论/不变映射Key words
finite reflection group/regular solids/invariant theory/invariant mapping分类
信息技术与安全科学引用本文复制引用
王新长,刘满凤,欧阳培昌..具有反射群对称性的球面图案自动生成[J].计算机工程与应用,2013,(23):27-30,4.基金项目
国家科技支撑计划课题(No.2012BAC11B01);国家自然科学基金(No.70961002);江西省教育厅科学技术研究项目(No.GJJ10535)。 ()