Circular arc approximation by hexic polynomial curves

被引：5

作者：

Yoon, Hyeong Moon ^{[1
]}

Ahn, Young Joon ^{[1
]}

机构：

[1] Chosun Univ, Dept Math Educ, Gwangju 61452, South Korea

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2023年 / 42卷 / 06期

基金：

新加坡国家研究基金会;

关键词：

Circular arc approximation; Hexic polynomial curve; Approximation order; Series expansion; Hausdorff distance; CIRCLE APPROXIMATION; BEZIER CURVES;

D O I：

10.1007/s40314-023-02315-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a circular arc approximation by hexic polynomial curves having 12 contacts with the circular arc. We present two methods for obtaining Gk approximation curves, k = 3, 4, which interpolate at both endpoints and the midpoint of the circular arc. The approximation curves can be obtained by solving an equation of degree six. We show that the approximation orders of our methods are 12. We find the optimal approximation for each method and present numerical examples illustrating that the approximation orders are 12.

引用

页数：14

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