Computing Optical Flow via Variational Techniques

Deened as the apparent motion in a sequence of images, the optical ow is very important in the Computer Vision community where its accurate estimation is strongly needed for many applications. It is one of the most studied problem in Computer Vision. In spite of this, not much theoretical analysis has been done. In this article, we rst present a review of existing variational methods. Then, we will propose an extended model that will be rigorously justiied on the space of functions of bounded variations. Finally, we present an algorithm whose convergence will be carefully demonstrated. Some results showing the capabilities of this method will end that work.