  The goal of this paper is propose a mathematical framework for optical flow
refinement with non-quadratic regularization using variational techniques. We
demonstrate how the model can be suitably adapted for both rigid and fluid
motion estimation. We study the problem as an abstract IVP using an
evolutionary PDE approach. We show that for a particular choice of constraint
our model approximates the continuity model with non-quadratic regularization
using augmented Lagrangian techniques. We subsequently show the results of our
algorithm on different datasets.
