Published January 1997
| Version Submitted
Technical Report
Open
Fast Construction of Accurate Quaternion Splines
Creators
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.
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.Attached Files
Submitted - CSTR1997.pdf
Submitted - postscript.ps
Files
CSTR1997.pdf
Additional details
Identifiers
- Eprint ID
- 26809
- Resolver ID
- CaltechCSTR:1997.cs-tr-97-04
Related works
- Describes
- 10.1145/258734.258870 (DOI)
Funding
- DEC
- Hewlett-Packard
- IBM
- NSF
- ASC-89-20219
- Defense Advanced Research Projects Agency (DARPA)
Dates
- Created
-
2001-04-25Created from EPrint's datestamp field
- Updated
-
2019-10-03Created from EPrint's last_modified field
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- Computer Science Technical Reports