Parametric Rational Cubic Approximation Scheme for Circular Arcs

被引:0
作者
Shakeel A. [1 ]
Hussain M. [2 ]
Hussain M.Z. [3 ]
机构
[1] Faculty of Science and Technology, University of Central Punjab, Lahore
[2] Lahore College for Women University, Lahore
[3] Department of Mathematics, University of the Punjab, Lahore
关键词
65D05; 65D07; 65D18; 68U05; Absolute radius error; Circular arcs; G[!sup]2[!/sup]-constraints; Parametric rational cubic function;
D O I
10.1007/s40819-023-01630-3
中图分类号
学科分类号
摘要
The research paper presents a numerical method for the G2- approximation of circular arcs. The developed technique is worked on a quarter circle and the complete circle is formed using affine transformation. The optimal value of the free parameters is searched by reducing the approximation error to its minimum. Approximation order of the proposed scheme varies from Oγ2 to Oγ4, depending on the choice of free parameters. The proposed approximation scheme has an improved level of accuracy than the prevailing schemes. © The Author(s), under exclusive licence to Springer Nature India Private Limited 2024.
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