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Equivalence of distinct characterizations for rational rotation-minimizing frames on quintic space curves

✍ Scribed by Rida T. Farouki; Takis Sakkalis


Book ID
113510657
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
209 KB
Volume
28
Category
Article
ISSN
0167-8396

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πŸ“œ SIMILAR VOLUMES


Rational approximation schemes for rotat
✍ Rida T. Farouki; Chang Yong Han πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 284 KB

An adapted frame (t, u, v) on a space curve r(ΞΎ ) is a right-handed set of three orthonormal vectors, where t is the unit tangent and u, v span the curve normal plane. For such frames to have a rational dependence on the curve parameter, r(ΞΎ ) must be a Pythagorean-hodograph (PH) curve, since only P