计算机工程与应用Issue(7)：158-161,4.DOI:10.3778/j.issn.1002-8331.1206-0018
三角域上三阶T-Bézier曲面片的构造与设计
Construction and design for three order T-Bézier surface on triangular domain
摘要
Abstract
In computer aided geometric design, T-Bézier curve and surface is viewed as new free form curve and surface modeling tools have been widely studied, but the surface is all tensor product. In order to further study T-Bézier in non-polynomial space and perfect the theory of triangular domain, a kind of trigonometric basis for trigonometric polynomial space over triangular domain is proposed. The constructed basis over triangular domain has been proved to have nice prop-erties such as positivity, partition of unity, symmetry, boundary representation and linear independence and so on. Some properties of the corresponding surface are also proved. Finally, some applications of the proposed basis are shown.关键词
计算机辅助几何设计/T-Bézier基函数/三角多项式/三角域Key words
computer aided geometric design/T-Bézier basis/trigonometric polynomial/triangular domain分类
信息技术与安全科学引用本文复制引用
陈素根,苏本跃,汪志华..三角域上三阶T-Bézier曲面片的构造与设计[J].计算机工程与应用,2014,(7):158-161,4.基金项目
安徽省高等学校省级自然科学研究项目（No.KJ2012B089，No.KJ2012B088）；安徽省教育厅自然科学基金重点项目（No.KJ2009A123）；安庆师范学院青年科研基金项目（No.KJ201018，No.KJ201017）。 （）
