“…Performance evaluations such as [9,35] showed that variational methods belong to the best performing techniques for computing the optic flow field. It is thus not surprising that a lot of research has been carried out in order to improve these techniques even further: These amendments include refined model assumptions with discontinuity-preserving constraints [2,28,42,62,65,73,91] or spatiotemporal regularisation [11,61,92], improved data terms with modified constraints [3,26,62,74] or nonquadratic penalisation [11,43,56,26], and efficient multigrid algorithms [15,22,39,38,78,95] for minimising these energy functionals. The goal of the present chapter is to analyse the data term and the smoothness term in detail and to survey some of our recent results on variational optic flow computation.…”