  Unsupervised deep learning for optical flow computation has achieved
promising results. Most existing deep-net based methods rely on image
brightness consistency and local smoothness constraint to train the networks.
Their performance degrades at regions where repetitive textures or occlusions
occur. In this paper, we propose Deep Epipolar Flow, an unsupervised optical
flow method which incorporates global geometric constraints into network
learning. In particular, we investigate multiple ways of enforcing the epipolar
constraint in flow estimation. To alleviate a "chicken-and-egg" type of problem
encountered in dynamic scenes where multiple motions may be present, we propose
a low-rank constraint as well as a union-of-subspaces constraint for training.
Experimental results on various benchmarking datasets show that our method
achieves competitive performance compared with supervised methods and
outperforms state-of-the-art unsupervised deep-learning methods.
