Geometric Hermite interpolation for space curves

被引：24

作者：

Xu, LH ^{[1
]}

Shi, JH ^{[1
]}

机构：

[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 2001年 / 18卷 / 09期

关键词：

Bezier curve; interpolation; geometric smoothness; accuracy;

D O I：

10.1016/S0167-8396(01)00053-X

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This paper considers the geometric Hermite interpolation for spacial curves by parametric quartic Bezier curve. In additon to position and tangent direction, the curvature vector is prescribed at each knot. We prove that under appropriate assumptions the interpolant exists locally with one degree of freedom. Moreover, we prove the interpolant is 6th order accurate. (C) 2001 Published by Elsevier Science B.V.

引用

页码：817 / 829

页数：13

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