On Projection Matrices $P^k->P^2$, $k=3,…, 6$, and their Applications in Computer Vision
Lior Wolf and Amnon Shashua
School of Computer Science and Engineering,
The Hebrew University,
Jerusalem 91904, Israel
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
from these new projection matrices (where $k>3$) and methods for extracting the
non-rigid structure and motion for each application.
Keywords: Dynamic structure from motion, Multiple view geometry, Multi-linear constraints.