Multi-H: Efficient recovery of tangent planes in stereo images

Multi-H – an efficient method for the recovery of the tangent planes of a set of point correspondences satisfying the epipolar constraint is proposed. The problem is formulated as a search for a labeling minimizing an energy that includes a data and spatial regularization terms. The number of planes is controlled by a combination of MeanShift [6] and α-expansion [3]. Experiments on the fountain-P11 3D dataset show that Multi-H provides highly accurate tangent plane estimates. It also outperforms all state-of-the-art techniques for multihomography estimation on the publicly available AdelaideRMF dataset. Since Multi-H achieves nearly error-free performance, we introduce and make public a more challenging dataset for multi-plane fitting evaluation.