Algebraic equations for constant width curves and Zindler curves

被引：6
|
作者：
Rochera, David [1 ]
机构：
[1] BCAM Basque Ctr Appl Math, Mazarredo 14, E-48009 Bilbao, Basque Country, Spain
来源：
JOURNAL OF SYMBOLIC COMPUTATION | 2022年 / 113卷
关键词：
Constant width curves; Zindler curves; Planar algebraic curves; Hedgehogs; Resultant;
D O I：
10.1016/j.jsc.2022.03.001
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
An explicit method to compute algebraic equations of curves of constant width and Zindler curves generated by a family of middle hedgehogs is given thanks to a property of Chebyshev polynomials. This extends the methodology used by Rabinowitz and MartinezMaure in particular constant width curves to generate a full family of algebraic equations, both of curves of constant width and Zindler curves, defined by trigonometric polynomials as support functions. (c) 2022 Elsevier Ltd. All rights reserved.
引用
收藏
页码：139 / 147
页数：9
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