Interpolation by G^(2) Quintic Pythagorean-Hodograph Curves

作     者：Gasper Jaklic Jernej Kozak Marjeta Krajnc Vito Vitrih Emil Zagar 

作者机构：FMFUniversity of Ljubljanaand IAMUniversity of PrimorskaJadranska 191000 LjubljanaSlovenia FMF and IMFMUniversity of LjubljanaJadranska 191000 LjubljanaSlovenia FAMNIT and IAMUniversity of PrimorskaMuzejski trg 26000 KoperSlovenia 

出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)

年 卷 期：2014年第7卷第3期

页      面：374-398页

核心收录：

学科分类：0820[工学-石油与天然气工程] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 0701[理学-数学] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

主　　题：Pythagorean-hodograph curve Hermite interpolation geometric continuity nonlinear analysis homotopy 

摘      要：In this paper,the G^(2) interpolation by Pythagorean-hodograph(PH)quintic curves in R^(d),d≥2,is *** obtained results turn out as a useful tool in practical *** of the dimension d,they supply a G^(2) quintic PH spline that locally interpolates two points,two tangent directions and two curvature vectors at these *** interpolation problem considered is reduced to a system of two polynomial equations involving only tangent lengths of the interpolating curve as *** several solutions might exist,the way to obtain the most promising one is suggested based on a thorough asymptotic analysis of the smooth data *** numerical algorithm traces this solution from a particular set of data to the general case by a homotopy continuation *** examples confirm the efficiency of the proposed method.