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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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