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Motion design with Euler-Rodrigues frames of quintic Pythagorean-hodograph curves
Marjetka Krajnc, Vito Vitrih, 2012, izvirni znanstveni članek

Opis: The paper presents an interpolation scheme for ▫$G^{1}$▫ Hermite motion data, i.e., interpolation of data points and rotations at the points, with spatial quintic Pythagorean-hodograph curves so that the Euler-Rodrigues frame of the curve coincides with the rotations at the points. The interpolant is expressed in a closed form with three free parameters, which are computed based on minimizing the rotations of the normal plane vectors around the tangent and on controlling the length of the curve. The proposed choice of parameters is supported with the asymptotic analysis. The approximation error is of order four and the Euler-Rodrigues frame differs from the ideal rotation minimizing frame with the order three. The scheme is used for rigid body motions and swept surface construction.
Najdeno v: ključnih besedah
Povzetek najdenega: ...quintic Pythagorean-hodograph curves so that the Euler-Rodrigues frame of the curve coincides with the rotations...
Ključne besede: Pythagorean-hodograph, Euler-Rodrigues frame, rotation minimizing frame, motion design, quaternion, Hermite interpolation
Objavljeno: 15.10.2013; Ogledov: 1161; Prenosov: 58
URL Polno besedilo (0,00 KB)

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