On Projection Matrices Pk-> P2k=3, ..., 6, and their Applications in Computer Vision

Projection matrices from projective spaces P 3 to P 2 have long been used in multiple-view geometry to model the perspective projection created by the pin-hole camera. In this work we introduce higher-dimensional mappings P k → P 2 , k = 3, 4, 5, 6 for the representation of various applications in which the world we view is no longer rigid. We also describe the multi-view constraints from these new projection matrices (where k > 3) and methods for extracting the (non-rigid) structure and motion for each application.