Fast Construction of Accurate Quaternion Splines

Ramamoorthi, Ravi and Barr, Alan H. (1997) Fast Construction of Accurate Quaternion Splines. Technical Report. California Institute of Technology. [CaltechCSTR:1997.cs-tr-97-04]

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Abstract

In 1992, Barr et al. proposed a method for interpolating orientations with unit quaternion curves by minimizing covariant acceleration. This paper presents a simple improved method which uses cubic basis functions to achieve a speedup of up to three orders of magnitude. A new criterion for automatic refinement based on the Euler-Lagrange error functional is also introduced.

EPrint Type:	Monograph (Technical Report)
Subjects:	All Records
ID Code:	159
Deposited By:	Caltech Library System
Deposited On:	25 April 2001
Record Number:	CaltechCSTR:1997.cs-tr-97-04
Official Persistent URL:	http://resolver.caltech.edu/CaltechCSTR:1997.cs-tr-97-04
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