Motion design with Euler-Rodrigues frames of quintic Pythagorean-hodograph curves

Knez, Marjetka; Vitrih, Vito

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Naslov:	Motion design with Euler-Rodrigues frames of quintic Pythagorean-hodograph curves
Avtorji:	ID Knez, Marjetka (Avtor) ID Vitrih, Vito (Avtor)
Datoteke:	http://dx.doi.org/10.1016/j.matcom.2012.04.003
Jezik:	Angleški jezik
Vrsta gradiva:	Delo ni kategorizirano
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UPR - Univerza na Primorskem
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.
Ključne besede:	Pythagorean-hodograph, Euler-Rodrigues frame, rotation minimizing frame, motion design, quaternion, Hermite interpolation
Leto izida:	2012
Št. strani:	str. 1696-1711
Številčenje:	Vol. 82, iss. 9
PID:	20.500.12556/RUP-33
ISSN:	0378-4754
UDK:	519.65
COBISS.SI-ID:	1024447572
Datum objave v RUP:	15.10.2013
Število ogledov:	3487
Število prenosov:	102
Metapodatki:
:	KNEZ, Marjetka in VITRIH, Vito, 2012, Motion design with Euler-Rodrigues frames of quintic Pythagorean-hodograph curves. [na spletu]. 2012. Vol. 82, no. 9, p. 1696–1711. [Dostopano 13 april 2025]. Pridobljeno s: http://dx.doi.org/10.1016/j.matcom.2012.04.003 Kopiraj citat

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