Optical flow is the 2D motion that needs to be recovered From a video seque
nce. In this paper we study variational principles for the generation of in
terpolating sequences between two images. The basic assumption is that ther
e exists an underlying video sequence that solves the optic flow equation a
nd interpolates the two images. The numerical solution of the interpolation
problem is reduced to the solution of a system of coupled partial differen
tial equations. Some numerical simulations are presented.