A characterization of quintic helices

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摘要

A polynomial curve of degree 5, α, is a helix if and only if both ∥α′∥ and ∥α′∧α″∥ are polynomial functions.

论文关键词：primary,53A04,secondary,65D17,68U05,Generalized polynomial helices,Theorem of Lancret,Pythagorean hodograph curves

论文评审过程：Received 23 February 2005, Revised 27 April 2006, Available online 12 July 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2006.06.001