Summary: COMPUTING OPTICAL FLOW VIA VARIATIONAL TECHNIQUES
G. AUBERT y , R. DERICHE z , AND P. KORNPROBST y
Deøned as the apparent motion in a sequence of images, the optical AEow 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, no much theoretical analysis has been done.
In this article, we ørst present a synthetic review of existing variational methods.
Then, we will propose an extended model that will be rigorously justiøed on the
space of bounded variations. Finally, we present an algorithm whose convergence
will be carefully demonstrated. Some results showing the capacities of this method
will end that work.
Space of bounded variations, \Gammaconvergence, halfquadratic minimization, opti
cal AEow, Computer Vision.
AMS Subject Classiøcations. 35J, 49J, 65N
This paper deals with the estimation of the movement in a sequence of images.
This velocity øeld is be called the optical AEow. In the Computer Vision community,
it is well known that the optical AEow is a rich source of information about the