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Fast Construction of Accurate Quaternion Splines

Ramamoorthi, Ravi and Barr, Alan H. (1997) Fast Construction of Accurate Quaternion Splines. California Institute of Technology . (Unpublished) http://resolver.caltech.edu/CaltechCSTR:1997.cs-tr-97-04

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Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechCSTR:1997.cs-tr-97-04

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.


Item Type:Report or Paper (Technical Report)
Group:Computer Science Technical Reports
Record Number:CaltechCSTR:1997.cs-tr-97-04
Persistent URL:http://resolver.caltech.edu/CaltechCSTR:1997.cs-tr-97-04
Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:26809
Collection:CaltechCSTR
Deposited By: Imported from CaltechCSTR
Deposited On:25 Apr 2001
Last Modified:26 Dec 2012 14:06

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