Multiple View Geometry in the Space-Time

In this paper, we analyze multiple view geometry under projections from 4D space to 3D space and show that it can represent multiple view geometry under the projection of space with time. In particular, we show that multifocal tensors defined under space-time projections can be computed from non-rigid object motions viewed from multiple cameras with arbitrary translational motions. We also show that they are very useful for generating images of non-rigid object motions viewed from cameras which have arbitrary translational motions. The method is implemented and tested in real and synthetic images.