Intersection Curves of Implicit and Parametric Surfaces in R<sup>3</sup>

作     者：Mohamed Abdel-Latif Soliman Nassar Hassan Abdel-All Soad Ali Hassan Sayed Abdel-Naeim Badr 

作者机构：不详 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2011年第2卷第8期

页      面：1019-1026页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Geometric Properties Frenet Frame Frenet Apparatus Frenet-Serret Formulas Surface-Surface Intersection Transversal Intersection Tangential Intersection Dupin Indicatrices 

摘      要：We present algorithms for computing the differential geometry properties of Frenet apparatus {t,n,b,κ,τ} and higher-order derivatives of intersection curves of implicit and parametric surfaces in R3 for transversal and tangential intersection. This work is considered as a continuation to Ye and Maekawa [1]. We obtain a classification of the singularities on the intersection curve. Some examples are given and plotted.