Special Issue Paper
Spatiotemporal coupling with the 3D+t motion Laplacian
Version of Record online: 14 MAY 2013
Copyright © 2013 John Wiley & Sons, Ltd.
Computer Animation and Virtual Worlds
Special Issue: CASA '2013 Special Issue
Volume 24, Issue 3-4, pages 419–428, May-August 2013
How to Cite
Le Naour, T., Courty, N. and Gibet, S. (2013), Spatiotemporal coupling with the 3D+t motion Laplacian. Comp. Anim. Virtual Worlds, 24: 419–428. doi: 10.1002/cav.1518
- Issue online: 15 MAY 2013
- Version of Record online: 14 MAY 2013
- character animation;
- spatial relationship;
- motion editing;
- motion retargeting
Motion editing requires the preservation of spatial and temporal information of the motion. During editing, this information should be preserved at best. We propose a new representation of the motion based on the Laplacian expression of a 3D+t graph: the set of connected graphs given by the skeleton over time. Through this Laplacian representation of the motion, we propose an application that allows an easy and interactive editing, correction, or retargeting of a motion. The new created motion is the result of the combination of two minimizations, linear and non-linear: the first penalizes the difference of energy between the Laplacian coordinates from an animation to the desired one. The other one preserves the length of segments. Using several examples, we demonstrate the benefits of our method and in particularly the preservation of the spatiotemporal properties of the motion in an interactive context. Copyright © 2013 John Wiley & Sons, Ltd.