Spatiotemporal coupling with the 3D+t motion Laplacian
Identifieur interne : 000142 ( Main/Exploration ); précédent : 000141; suivant : 000143Spatiotemporal coupling with the 3D+t motion Laplacian
Auteurs : T. Le Naour [France] ; N. Courty [France] ; S. Gibet [France]Source :
- Computer Animation and Virtual Worlds [ 1546-4261 ] ; 2013-05.
English descriptors
- Teeft :
- Adjacent skeletons, Anim, Animation, Assistant professor, Blue points, Bone length constraints, Character animation, Cholesky system, Comp, Computer animation, Computer graphics, Computer graphics forum, Computer science, Constraint, Control points, Courty, Current research interests, Different morphologies, Differential coordinates, Differential vector, Discrete laplace operator, Discrete laplacian operator, Distance constraints, Editing, Edition process, Energy function, Essential features, Exponential parameterization, Geometrical information, Geometrical structure, Gibet, Gibet spatiotemporal, Graphics, Ground truth motion, Insa rennes, Interactive, Intuitive control, John wiley sons, Laplacian, Laplacian coordinates, Laplacian matrix, Laplacian operator, Laplacian representation, Linear system, Major drawbacks, Mesh, Mesh animation processing, Mesh editing, Minimization, Motion data, Motion dynamics, Motion editing, Motion laplacian, Multiple characters, Naour, Original animation, Original motion, Position constraints, Reference motion, Right foot, Skeleton, Spatial relationship, Spatial relationships, Spatial variations, Spatiotemporal, Spatiotemporal features, Spatiotemporal properties, Temporal, Temporal dynamics, Temporal information, Uniform weights, Virtual worlds, Visual computer.
Abstract
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.
This paper proposes a new representation of motion based on the Laplacian expression of a 3D+t graph: the set of connected graphs given by the skeleton over time. Our approach enables an easy and interactive editing, correction, or retargeting of motion. 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.
Url:
DOI: 10.1002/cav.1518
Affiliations:
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Le document en format XML
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<front><div type="abstract">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.</div>
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