Ramamoorthi, Ravi and Barr, Alan H. (1997) Fast construction of accurate quaternion splines. In: SIGGRAPH '97 Proceedings of the 24th annual conference on Computer graphics and interactive techniques. ACM , New York, NY, pp. 287-292. ISBN 0-89791-896-7. https://resolver.caltech.edu/CaltechAUTHORS:20161212-172115981
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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.
| Item Type: | Book Section | |||||||||
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| Additional Information: | © 1997 ACM. | |||||||||
| Subject Keywords: | Euler-Lagrange error functional, Quaternions, Splines, Optimization | |||||||||
| Classification Code: | I.3.5 [ Computer Graphics ]: Computational Geometry and Object Modeling—Splines; G.1.6 [ Numerical Analysis ]: Optimization | |||||||||
| DOI: | 10.1145/258734.258870 | |||||||||
| Record Number: | CaltechAUTHORS:20161212-172115981 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20161212-172115981 | |||||||||
| Official Citation: | Ravi Ramamoorthi and Alan H. Barr. 1997. Fast construction of accurate quaternion splines. In Proceedings of the 24th annual conference on Computer graphics and interactive techniques (SIGGRAPH '97). ACM Press/Addison-Wesley Publishing Co., New York, NY, USA, 287-292. DOI=http://dx.doi.org/10.1145/258734.258870 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 72752 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | INVALID USER | |||||||||
| Deposited On: | 13 Dec 2016 02:22 | |||||||||
| Last Modified: | 11 Nov 2021 05:06 |
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