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Helical polynomial curves and double Pythagorean hodographs I. Quaternion and Hopf map representations |
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| Authors: | Rida T Farouki Carlotta Giannelli Alessandra Sestini |
| Affiliation: | 1. Department of Mechanical and Aeronautical Engineering, University of California, Davis, CA 95616, USA;2. Dipartimento di Sistemi e Informatica, Università degli Studi di Firenze, Viale Morgagni 65, 50134 Firenze, Italy;3. Dipartimento di Matematica “Ulisse Dini”, Università degli Studi di Firenze, Viale Morgagni 67a, 50134 Firenze, Italy |
| Abstract: | |
| Keywords: | Pythagorean-hodograph curves Helical curves Quaternions Hopf map Double Pythagorean hodograph Curvature Torsion Frenet frame |
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