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

页码：139 / 147

页数：9

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