On new types of rational rotation-minimizing frame space curves. (May 2016)

• Record Type: Journal Article
• Authors: Cheng, Charles Ching-An; Sakkalis, Takis
• Is Part Of: Journal of symbolic computation. Volume 74(2016)
• Page Start: 400
• Page End: 407
• Publication Date: 2016-05
• Subjects: Pythagorean-hodograph curves -- Rotation-minimizing frames -- Quaternion polynomials; 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.2015.08.005
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: The existence of rational rotation-minimizing frames (RRMF) on polynomial space curves is characterized by the satisfaction of a certain identity among rational functions. In this note we prove that previously thought degree limitations on that condition are incorrect. In that regard, new types of RRMF curves are discovered.