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Preface; Contents; 1 Optical Flow Fundamentals; 1.1 Color Constancy; 1.2 Aperture Problem; 1.3 Small Versus Large Motion; 1.3.1 Linearization; 1.3.2 Nonconvexity; 1.4 Occlusions; 1.5 Total Variation; 1.6 From Optical Flow to Trajectory; 1.7 Sparsity; 1.8 Dictionary; 1.9 Low Rank; References; 2 Optical Flow and Trajectory Methods in Context; 2.1 Introduction; 2.2 Algorithms; 2.2.1 Spatio-Temporal Smoothing; 2.2.2 Parameterizations; 2.2.3 Optical Flow Fusion; 2.2.4 Sparse Tracking to Dense Flow; 2.2.5 Low Rank Constraints; 2.3 Data Sets and Performance Measurement; 2.3.1 Existing Data Sets

2.3.2 Individual Measurement Efforts2.4 Trajectory Versus Flow; 2.5 Conclusions; References; 3 Sparse Regularization of TV-L1 Optical Flow; 3.1 Introduction; 3.2 Previous Work; 3.3 Our Work; 3.3.1 Partially-Overlapping Patches; 3.3.2 Dictionary Learning; 3.3.3 Sparse Total Variation; 3.3.4 Nesterov's Method; 3.4 Experimental Results; 3.4.1 Dictionaries; 3.4.2 Implementations Details; 3.4.3 Discussion; 3.5 Conclusions; References; 4 Robust Low Rank Trajectories; 4.1 Introduction; 4.2 Previous Work; 4.3 Our Work; 4.4 Experimental Results; 4.5 Concluding Remarks; References

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