Basis Constrained 3D Scene Flow on a Dynamic Proxy

Existing scene flow approaches mainly focus on two-frame stereo-pair configurations and reconstruct an image-based representation of scene flow. Instead, we propose a variational formulation of scene flow relative to a coarse proxy geometry, which is better suited for many views. Furthermore, a linear basis is used to represent temporal surface flow, allowing for longer-range temporal correspondence with fewer variables. Our formulation takes known proxy motion into account (e.g, if the proxy is a tracked human subject), which enables 3D trajectory reconstruction when only a single view is available. Additionally, through the appropriate proxy and basis, our framework generalizes existing approaches for scene flow, optic-flow, and two-frame stereo. We illustrate results on real-data for both static and moving proxy surfaces over several frames.