摘要
圆锥网格是计算机辅助建筑设计中一类新的平面四边形网格,具有良好的等距性质,非常适用于玻璃/钢结构,而旋转曲面是建筑设计中的常用形状.通过引入旋转圆锥网格的概念,并利用圆锥网格的定义,给出了构造旋转圆锥网格的简单方法.证明了只在旋转曲面r(u,v)=(f(u)cosv,f(u)sinv,g(u))的v参数方向进行均匀分割,而在u参数方向进行任意分割,则所产生的平面四边形网格为圆锥网格;并研究了旋转曲面为圆锥曲面和圆柱曲面的特殊情况;最后给出了基于旋转圆锥网格的玻璃结构造型实例.该方法简单易行,对计算机辅助建筑设计中的玻璃/钢结构造型有一定的实际应用价值.
Conical mesh is a novel class of planar quad mesh with nice offset property, and is well suited for glass/steel structure design. Surfaces of revolution often appear in architecture design. By introducing the definition of conical mesh, conical mesh of revolution is proposed and a simple method for the construction of conical mesh of revolution is also presented in this paper. We proved that for a surface of revolution r（u,v）-（f（u）cosv, f（u）sinv, g（u））, if the division in v direction is uniform, then the resulting quad mesh with arbitrary division in u direction from r（u,v） is a conical mesh. We also investigate the special construction method in the cases of cones and cylinders. Some modeling examples of glass/steel structure based on conical mesh of revolution are presented. The methods are simple and easy to implement, and are valuable for modeling of glass/steel structure in computer aided architecture design.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
2009年第8期1070-1073,共4页
Journal of Computer-Aided Design & Computer Graphics
基金
国家"九七三"重点基础研究发展计划项目(2004CB318000)
国家自然科学基金(60803076
60773179
60473130)
浙江大学CAD&CG国家重点实验室开放课题(A0804)
关键词
圆锥网格
旋转曲面
圆网格
计算机辅助建筑设计
conical mesh
surface of revolution
circular mesh
computer aided architectural design
