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Fast construction of accurate quaternion splines

By Ravi Ramamoorthi and Alan H. Barr

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

Topics: CR Categories, I.3.5 [Computer Graphics, Computational Geometry and Object Modeling—Splines, G.1.6 [Numerical Analysis, Optimization Keywords, Euler-Lagrange error functional, Quaternions, Splines, Optimization
Year: 1997
DOI identifier: 10.1145/258734.258870
OAI identifier: oai:CiteSeerX.psu:10.1.1.174.8977
Provided by: CiteSeerX
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