Planar cubic G1 interpolatory splines with small strain energy

被引：22
|
作者：
Jaklic, Gasper [1 ,2 ,3 ]
Zagar, Emil [1 ,2 ]
机构：
[1] Univ Ljubljana, FMF, Ljubljana, Slovenia
[2] Univ Ljubljana, IMFM, Ljubljana, Slovenia
[3] Univ Primorska, PINT, Ljubljana, Slovenia
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 08期
关键词：
Hermite interpolation; Spline curve; Minimization; Strain energy; GEOMETRIC INTERPOLATION; HERMITE INTERPOLATION; POLYNOMIAL CURVES; SMOOTHNESS; ORDER;
D O I：
10.1016/j.cam.2010.11.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a classical problem of the construction of a cubic G(1) continuous interpolatory spline curve is considered. The only data prescribed are interpolation points, while tangent directions are unknown. They are constructed automatically in such a way that a particular minimization of the strain energy of the spline curve is applied. The resulting spline curve is constructed locally and is regular, cusp-, loop- and fold-free. Numerical examples demonstrate that it is satisfactory as far as the shape of the curve is concerned. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：2758 / 2765
页数：8
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