Physical Cyclic Animations

No Thumbnail Available
Date
2023
Journal Title
Journal ISSN
Volume Title
Publisher
ACM Association for Computing Machinery
Abstract
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.
Description

CCS Concepts: Computing methodologies -> Physical simulation keyframe animation, periodic motion, physical simulation"

        
@inproceedings{
10.1145:3606938
, booktitle = {
Proceedings of the ACM on Computer Graphics and Interactive Techniques
}, editor = {
Wang, Huamin
and
Ye, Yuting
and
Victor Zordan
}, title = {{
Physical Cyclic Animations
}}, author = {
Jia, Shiyang
and
Wang, Stephanie
and
Li, Tzu-Mao
and
Chern, Albert
}, year = {
2023
}, publisher = {
ACM Association for Computing Machinery
}, ISSN = {
2577-6193
}, ISBN = {}, DOI = {
10.1145/3606938
} }
Citation