农业机械学报2013，Vol.44Issue(6)：263-268,6.DOI:10.6041/j.issn.1000-1298.2013.06.046
两类带两个形状参数的三角Quasi-Bézier曲面
Two Kinds of Triangular Quasi-Bézier Surfaces with Two Shape Parameters
摘要
Abstract
Two kinds of bivariate basis functions with two shape parameters over the triangular domain were presented.The corresponding triangular surfaces inherited the most properties of classical triangular Bézier surface,and adjusted the shape by changing the value of shape parameters with the fixed control points.When the shape parameters were equal to some specified values,the new triangular surfaces degenerated to the triangular Bézier surface.The obvious geometric significance of shape parameters made it easier for the designer to adjust the shape of new surfaces,even if when the boundaries of triangular surfaces were fixed.The numerical examples indicated that the new surfaces were valid and easy for operation.关键词
计算机辅助几何设计/二元Quasi-Bernstein基函数/三角Quasi-Bézier曲面/形状参数Key words
Computer aided geometric design / Bivariate Quasi-Bernstein basis functions / Triangular Quasi-Bézier surface / Shape parameter分类
信息技术与安全科学引用本文复制引用
陈军,周联..两类带两个形状参数的三角Quasi-Bézier曲面[J].农业机械学报,2013,44(6):263-268,6.基金项目
国家自然科学基金资助项目(11147199)、宁波市自然科学基金资助项目(2011A610174、2012A610029)和宁波工程学院校级科研资助项目(2010126) （11147199）
