Non-negative Matrix Factorization with Sparseness Constraints
The Journal of Machine Learning Research
IEEE Transactions on Pattern Analysis and Machine Intelligence
Convex and Semi-Nonnegative Matrix Factorizations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Dense point trajectories by GPU-accelerated large displacement optical flow
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part I
Object segmentation by long term analysis of point trajectories
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ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part IV
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Motion segmentation is an old problem that is receiving renewed interest because of its role in video analysis. In this paper, we present a Semi-Nonnegative Matrix Factorization (SNMF)method that models dense point tracks in terms of their optical flow, and decomposes sets of point tracks into semantically meaningful motion components. We show that this formulation of SNMF with missing values outperforms the state-of-the-art algorithm of Brox and Malik in terms of accuracy on 10-frame video segments from the Berkeley test set, while being over 100 times faster. We then show how SNMF can be applied to longer videos using sliding windows. The result is competitive in terms of accuracy with Brox and Malik's algorithm, while still being two orders of magnitude faster.