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Upsilon-quaternion splines for the smooth interpolation of orientations.
IEEE Trans Vis Comput Graph. 2004 Mar-Apr; 10(2):224-9.IT

Abstract

We present a new method for smoothly interpolating orientation matrices. It is based upon quaternions and a particular construction of upsilon-spline curves. The new method has tension parameters and variable knot (time) spacing which both prove to be effective in designing and controlling key frame animations.

Authors+Show Affiliations

Nielson GM
Computer Science and Engineering Department, Arizona State University, Tempe, AZ 85287, USA. nielson@asu.edu

MeSH

AlgorithmsComputer GraphicsComputer SimulationImage EnhancementImage Interpretation, Computer-AssistedImaging, Three-DimensionalInformation Storage and RetrievalNumerical Analysis, Computer-AssistedOnline SystemsPattern Recognition, AutomatedReproducibility of ResultsRotationSensitivity and SpecificitySignal Processing, Computer-AssistedUser-Computer Interface

Pub Type(s)

Comparative Study
Evaluation Study
Journal Article
Research Support, U.S. Gov't, Non-P.H.S.
Validation Study

Language

eng

PubMed ID

15384647

Citation

Nielson, Gregory M.. "Upsilon-quaternion Splines for the Smooth Interpolation of Orientations." IEEE Transactions On Visualization and Computer Graphics, vol. 10, no. 2, 2004, pp. 224-9.
Nielson GM. Upsilon-quaternion splines for the smooth interpolation of orientations. IEEE Trans Vis Comput Graph. 2004;10(2):224-9.
Nielson, G. M. (2004). Upsilon-quaternion splines for the smooth interpolation of orientations. IEEE Transactions On Visualization and Computer Graphics, 10(2), 224-9.
Nielson GM. Upsilon-quaternion Splines for the Smooth Interpolation of Orientations. IEEE Trans Vis Comput Graph. 2004 Mar-Apr;10(2):224-9. PubMed PMID: 15384647.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Upsilon-quaternion splines for the smooth interpolation of orientations. A1 - Nielson,Gregory M, PY - 2004/9/24/pubmed PY - 2004/10/20/medline PY - 2004/9/24/entrez SP - 224 EP - 9 JF - IEEE transactions on visualization and computer graphics JO - IEEE Trans Vis Comput Graph VL - 10 IS - 2 N2 - We present a new method for smoothly interpolating orientation matrices. It is based upon quaternions and a particular construction of upsilon-spline curves. The new method has tension parameters and variable knot (time) spacing which both prove to be effective in designing and controlling key frame animations. SN - 1077-2626 UR - https://www.unboundmedicine.com/medline/citation/15384647/Upsilon_quaternion_splines_for_the_smooth_interpolation_of_orientations_ DB - PRIME DP - Unbound Medicine ER -