We address the problem of synthesizing physical animations that can loop seamlessly. We formulate a variational approach by deriving a physical law in a periodic time domain. The trajectory of the animation is represented as a parametric closed curve, and the physical law corresponds to minimizing the bending energy of the curve. Compared to traditional keyframe animation approaches, our formulation is constraint-free, which allows us to apply a standard Gauss--Newton solver. We further propose a fast projection method to efficiently generate an initial guess close to the desired animation. Our method can handle a variety of physical cyclic animations, including clothes, soft bodies with collisions, and N-body systems.
Guaranteed Physical Security with Restart-Based Design for Cyber-Physical Systems
- Award ID(s):
- 1646383
- PAR ID:
- 10082875
- Date Published:
- Journal Name:
- ACM/IEEE 9th International Conference on Cyber-Physical Systems (ICCPS)
- Page Range / eLocation ID:
- 10 to 21
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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- Free Publicly Accessible Full Text
-
Accepted Manuscript1.0
- Conference Paper:
- https://doi.org/10.1109/ICCPS.2018.00010
