Physical Cyclic Animations
Physical Cyclic Animations
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DOI：
10.1145/3606938
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发表时间：
2023-08
影响因子：
1.3
通讯作者：
Shiyang Jia;Stephanie Wang;Tzu-Mao Li;Albert Chern
中科院分区：
文献类型：
--
作者：
Shiyang Jia;Stephanie Wang;Tzu-Mao Li;Albert Chern
我们解决了可以无缝循环循环的物理动画的问题。我们通过在周期性的时域中得出物理定律来制定一种变异方法。动画的轨迹表示为参数封闭曲线，物理定律对应于最小化曲线的弯曲能。与传统的密钥帧动画方法相比，我们的配方无限制，这使我们能够应用标准的高斯 - 牛顿求解器。我们进一步提出了一种快速投影方法，以有效地生成接近所需动画的初始猜测。我们的方法可以处理各种物理循环动画，包括衣服，带有碰撞的柔软身体和N身体系统。
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.