On projection matrices P/sup k//spl rarr/P/sup 2/, k=3,...,6, and their applications in computer vision

Abstract

Projection matrices from projective spaces P/sup 3/ to P/sup 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/sup k//spl rarr/P/sup 2/, k=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 and methods for extracting the (non-rigid) structure and motion for each application.