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Fast construction of accurate quaternion splines

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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1145/258734.258870DOIArticle
http://dl.acm.org/citation.cfm?doid=258734.258870PublisherArticle
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
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: Kristin Buxton
Deposited On:13 Dec 2016 02:22
Last Modified:03 Oct 2019 16:20

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