Constraints for the estimation of displacement vector fields from image sequences
Hans-Hellmut Nagel · 1983
Smoothness constraints have been used to facilitate the estimation of displacement vector fields. Differing from HORN and SCHUNCK 81 who employ a general smoothness requirement, this contribution reports an analysis of an "oriented smoothness" requirement: a change in the displacement vector field is only constrained in the direction perpendicular to the characteristic gray value variation based on which the displacement vector is estimated. An iterative solution for the resulting system of nonlinear partial differential equations is developed. It is shown how this system of equations relates to the one derived by HORN and SCHUNCK 81.