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

页码：2758 / 2765

页数：8

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