D.: A convex relaxation approach to space time multi-view 3d reconstruction

We propose a convex relaxation approach to space-time 3D reconstruction from multiple videos. Generalizing the works [16], [8] to the 4D setting, we cast the problem of reconstruction over time as a binary labeling problem in a 4D space. We propose a variational formulation which combines a photoconsistency based data term with a spatio-temporal total variation regularization. In particular, we propose a novel data term that is both faster to compute and better suited for wide-baseline camera setups when photo-consistency measures are unreliable or missing. The pro-posed functional can be globally minimized using convex re-laxation techniques. Numerous experiments on a variety of publically available data sets demonstrate that we can com-pute detailed and temporally consistent reconstructions. In particular, the temporal regularization allows to reduce jit-tering of voxels over time. 1