Inbetweening auto-animation via Fokker-Planck dynamics and thresholding
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.