Physical Cyclic Animations

University of California San Diego
teaser figure: flag post Forward simulation Cyclic animation


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.



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S. Jia, S. Wang, T. Li, A. Chern
Physical Cyclic Animaions
Symposium on Computer Animation, 2023

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    title = {Physical Cyclic Animations}, 
    author = {Jia, Shiyang and Wang, Stephanie and Li, Tzu-Mao and Chern, Albert},
    journal = {Proc. ACM Comput. Graph. Interact. Tech.},
    year = {2023},
    month = {aug},
    volume = {6},
    number = {3},
    numpages = {18},
    url = {}