Algebraic equations for constant width curves and Zindler curves. (November 2022)

• Record Type: Journal Article
• Authors: Rochera, David
• Is Part Of: Journal of symbolic computation. Volume 113(2022)
• Page Start: 139
• Page End: 147
• Publication Date: 2022-11
• Subjects: 52A10 -- 53A04 -- 14H50; Constant width curves -- Zindler curves -- Planar algebraic curves -- Hedgehogs -- Resultant; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2022.03.001
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: 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 Martinez-Maure 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.