On tubular vs. swung surfaces. (January 2016)

• Record Type: Journal Article
• Authors: Recio, Tomás; Rafael Sendra, J.; Tabera, Luis-Felipe; Villarino, Carlos
• Is Part Of: Journal of symbolic computation. Volume 72(2016)
• Page Start: 55
• Page End: 64
• Publication Date: 2016-01
• Subjects: Swung surface -- Tubular surface; 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.2014.12.003
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We determine necessary and sufficient conditions for a tubular surface to be swung, and vice versa. From these characterizations, we derive two symbolic algorithms. The first one decides whether a given implicit equation, of a tubular surface, admits a swung parametrization and, in the affirmative case, it outputs such a parametrization. The second one decides whether a given swung surface parametrization is a tubular surface and, in the affirmative case, it outputs the implicit equation.