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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 , Pasadena, CA. (Unpublished)

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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)
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Additional Information:© 1997 California Institute of Technology. We want to thank everyone at the Caltech graphics group for their help and encouragement. This work was supported in part by grants from DEC. Hewlett Packard, and IBM. Additional support was provided by NSF (ASC-89-20219) as part of the NSF/DARPA STC for Computer Graphics and Scientific Visualization. All opinions, findings, conclusions or recommendations expressed here are those of the authors only and do not necessarily reflect the views of the sponsoring agencies.
Group:Computer Science Technical Reports
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Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Record Number:CaltechCSTR:1997.cs-tr-97-04
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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
Deposited By: Imported from CaltechCSTR
Deposited On:25 Apr 2001
Last Modified:03 Oct 2019 03:18

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