Convexity Preserving C2 Rational Quadratic Trigonometric Spline

被引：1

作者：

Dube, Mridula ^{[1
]}

Tiwari, Preeti ^{[2
]}

机构：

[1] RD Univ, Dept Math & Comp Sci, Jabalpur, India

[2] GGITS, Dept Math, Jabalpur, India

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B | 2012年 / 1479卷

关键词：

Rational quadratic trigonometric spline; Convexity; Computer aided geometric design; Shape parameter; Continuity; Constrained interpolation; INTERPOLATION;

D O I：

10.1063/1.4756311

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A C-2 rational quadratic trigonometric spline interpolation has been studied using two kind of rational quadratic trigonometric splines. It is shown that under some natural conditions the solution of the problem exits and is unique. The necessary and sufficient condition that constrain the interpolation curves to be convex in the interpolating interval or subinterval are derived.

引用

页码：995 / 998

页数：4

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