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An Unbiased Second-Order Prior for High-Accuracy Motion Estimation

Authors Trobin Werner, Pock Thomas, Daniel Cremers, Bischof Horst
Appeared in

Proceedings of the 30th DAGM Symposium on Pattern Recognition

Publisher

Springer LNCS

Organization

Deutsche Arbeitsgemeinschaft für Mustererkennung

Date June 2008
Abstract

Virtually all variational methods for motion estimation regularize the gradient of the
flow field, which introduces a bias towards piecewise constant motions in weakly
textured areas. We propose a novel regularization approach, based on decorrelated
second-order derivatives, that does not suffer from this shortcoming. We then derive an
efficient numerical scheme to solve the new model using projected gradient descent. A
comparison to a TV regularized model shows that the proposed second-order prior exhibits
superior performance, in particular in low-textured areas (where the prior becomes
important). Finally, we show that the proposed model yields state-of-the-art results on
the Middlebury optical flow database.

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