Optimal parametric interpolants of circular arcs

被引：9
|
作者：
Vavpetic, Ales [1 ,2 ]
机构：
[1] Univ Ljubljana, Fac Math & Phys, Jadranska 19, Ljubljana, Slovenia
[2] Inst Math Phys & Mech, Jadranska 19, Ljubljana, Slovenia
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2020年 / 80卷
关键词：
Geometric interpolation; Circular arc; Parametric polynomial; Bezier curve; Optimal interpolation; APPROXIMATION; CIRCLE;
D O I：
10.1016/j.cagd.2020.101891
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The aim of this paper is a construction of quartic parametric polynomial interpolants of a circular arc, where two boundary points of a circular arc are interpolated. For every unit circular arc of an inner angle not greater than 2 pi we find the best interpolant, where the optimality is measured by the simplified radial error. (C) 2020 Elsevier B.V. All rights reserved.
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页数：9
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