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Animating rotation with quaternion curves

Shoemake, Ken·1985·Proceedings of the 12th annual conference on Computer graphics and interactive techniques - SIGGRAPH '85

Abstract

Solid bodies roll and tumble through space. In computer animation, so do cameras. The rotations of these objects are best described using a four coordinate system, quaternions, as is shown in this paper. Of all quaternions, those on the unit sphere are most suitable for animation, but the question of how to construct curves on spheres has not been much explored. This paper gives one answer by presenting a new kind of spline curve, created on a sphere, suitable for smoothly in-betweening (i.e. interpolating) sequences of arbitrary rotations. Both theory and experiment show that the motion generated is smooth and natural, without quirks found in earlier methods.

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Metadata

Authors
Shoemake, K.
Venue
Proceedings of the 12th annual conference on Computer graphics and interactive techniques - SIGGRAPH '85
Publisher
ACM Press
Published
1985
Pages
245-254
OpenAlex
W4213187341
Cited by
684
References
0
FWCI
0.83
Type
conference paper
Language
en
Open access
closed

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CoChat. (2026). Citation check: Animating rotation with quaternion curves. https://app.cochat.ai/papers/10.1145/325334.325242
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Shoemake, K. (1985). Animating rotation with quaternion curves. Proceedings of the 12th annual conference on Computer graphics and interactive techniques - SIGGRAPH '85. https://doi.org/10.1145/325334.325242

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.