计算机应用研究2013，Vol.30Issue(4)：1250-1252,3.DOI:10.3969/j.issn.1001-3695.2013.04.079
三角域上拟二次Bézier曲面片的构造及其应用
Construction and application for quasi-quadratic Bézier surface over triangular domain
摘要
Abstract
The study was for the method of triangular surface modeling in computer aided geometric design. Firstly, this paper constructed a kind of trigonometric basis function in non-polynomial space and analyzed its properties. Secondly, it defined the corresponding triangular surface using seven control points. Its properties were similar to that of quadratic Bezier surface over triangular domain, which was called quasi-quadratic B6zier triangular surface; Finally, some given examples illustrated the boundary of the quasi-quadratic Bézier triangular surface not only represented circular and elliptical arc accurately, also adjusted the surface shape by introducing another control point with the boundary unchanged. Meanwhile, the surface used as transitional surface could realize the smooth transition at the interface in the three-way pipe modeling. In short, quasi-quadratic Bézier triangular surface has a better application in surface modeling and surface design, so it can be used as an effective supplement to the available modeling methods.关键词
计算机应用/T-Bézier基函数/三角域/曲面设计Key words
computer application/ T-Bézier basis/ triangular domain/ surface design分类
信息技术与安全科学引用本文复制引用
陈素根,汪志华..三角域上拟二次Bézier曲面片的构造及其应用[J].计算机应用研究,2013,30(4):1250-1252,3.基金项目
安徽省高等学校省级自然科学研究项目(KJ2012B089,KJ2012B088) （KJ2012B089,KJ2012B088）
安徽省教育厅自然科学基金重点项目(KJ2009A123) （KJ2009A123）
安庆师范学院青年科研基金资助项目(KJ201018,KJ201017) （KJ201018,KJ201017）
