论文标题
通过fokker-planck动力学和阈值进行自动动画的引入
Inbetweening auto-animation via Fokker-Planck dynamics and thresholding
论文作者
论文摘要
我们提出了一种平衡驱动的变形算法（EDDA），以模拟从初始图像到平衡图像开始的互动转换，该转换涵盖了从灰度类型到平面或歧管上彩色类型的图像。该算法基于歧管上的Fokker-Planck动力学，该动力学自动合作阳性，无条件稳定性，群众保护定律，指数融合以及数据集建议的歧管结构。阈值方案适用于尖锐的界面动力学，并用于实现有限的时间收敛。使用EDDA，三个具有挑战性的例子，（i）面部老化过程，（ii）冠状病毒疾病2019（COVID-19）入侵/治疗过程，以及（iii）大陆进化过程。
We propose an equilibrium-driven deformation algorithm (EDDA) to simulate the inbetweening transformations starting from an initial image to an equilibrium image, which covers images varying from a greyscale type to a colorful type on plane or manifold. The algorithm is based on Fokker-Planck dynamics on manifold, which automatically cooperates positivity, unconditional stability, mass conservation law, exponentially convergence and also the manifold structure suggested by dataset. The thresholding scheme is adapted for the sharp interface dynamics and is used to achieve the finite time convergence. Using EDDA, three challenging examples, (I) facial aging process, (II) coronavirus disease 2019 (COVID-19) invading/treatment process, and (III) continental evolution process are conducted efficiently.
