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Exact rotation-minimizing frames for spatial Pythagorean-hodograph curves

โœ Scribed by Rida T Farouki


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
176 KB
Volume
64
Category
Article
ISSN
1524-0703

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๐Ÿ“œ SIMILAR VOLUMES


Rational approximation schemes for rotat
โœ Rida T. Farouki; Chang Yong Han ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 284 KB

An adapted frame (t, u, v) on a space curve r(ฮพ ) 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(ฮพ ) must be a Pythagorean-hodograph (PH) curve, since only P

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โœ Hyeong In Choi; Chang Yong Han ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 166 KB

We investigate the properties of a special kind of frame, which we call the Euler-Rodrigues frame (ERF), defined on the spatial Pythagorean-hodograph (PH) curves. It is a frame that can be naturally constructed from the PH condition. It turns out that this ERF enjoys some nice properties. In particu