Constraints for the estimation of displacement vector fields from image sequences

Authors:
Hans-Hellmut Nagel
Affiliations:
Fakultat fur Informatik der Universitat Karlsruhe und Fraunhofer-Institut fur Informations - und Datenverarbeitung, Karlsruhe, Germany
Venue:
IJCAI'83 Proceedings of the Eighth international joint conference on Artificial intelligence - Volume 2
Year:
1983

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Abstract

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.