三角域上的3阶P-Bézier曲面  

3-order P-Bézier Surface over Triangular Domain

作　　者：熊建[1] XIONG Jian(School of Comprehensive Education,Anhui Audit Vocational College,Hefei 230601,China)

机构地区：[1]安徽审计职业学院综合教育学院,安徽合肥230601

出　　处：《安徽科技学院学报》2022年第4期79-84,共6页Journal of Anhui Science and Technology University

基　　金：安徽省高校自然科学研究重点项目(KJ2019A1215,KJ2020A1130)。

摘　　要：目的:将三角多项式空间中3阶P-Bézier基函数进行非张量积形式的二元推广。方法:在三角域上构造了由6个函数组成的基函数组,并讨论了此基函数组的性质。结果:以此基函数组生成相应的三角曲面片具备3阶Bézier三角曲面片的类似特征。结论:运用此三角曲面片能够近似表示球面片,能够实现三通管接口处的连续光滑拼接。Objective:The 3-order P-Bézier basis in triangular polynomial space is extended by the non-tensor product form.Methods:A basis function group consisting of six triangular polynomial functions is constructed on the triangular domain.Properties of the new basis functions are discussed.Results:Use these basis functions to generate the corresponding triangular surface patch with the similar properties of the 3-order Bézier triangular surface patch.Conclusion:The surface patch can approximately represent a spherical patch,and realize continuous and smooth splicing at the interface of the three-way pipe.

关 键 词：三角域 三阶 P-Bézier基函数 P-Bézier三角曲面 

分 类 号：TP391.72[自动化与计算机技术—计算机应用技术]