Vanishing torsion of parametric curves

作     者：JUHSZ Imre 

作者机构：Department of Descriptive GeometryUniversity of MiskolcMiskolc-Egyetemváros H-3515Hungary 

出 版 物：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 (浙江大学学报（英文版）A辑（应用物理与工程）)

年 卷 期：2007年第8卷第4期

页      面：593-595页

核心收录：

学科分类：0810[工学-信息与通信工程] 081203[工学-计算机应用技术] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0835[工学-软件工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Project (No. OTKA T 048523) supported by the Hungarian ScientificResearch Fund 

主　　题：参数曲线 没影点 挠率 判别曲线 

摘      要：We consider the class of parametric curves that can be represented by combination of control points and basis func- tions. A control point is let vary while the rest is held fixed. It’s shown that the locus of the moving control point that yields points of zero torsion is the osculating plane of the corresponding discriminant curve at its point of the same parameter value. The special case is studied when the basis functions sum to one.