Abstract
Projection matrices from projective spaces P3 to P2 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 Pk → P2, 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.
Original language | English |
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Pages (from-to) | 53-67 |
Number of pages | 15 |
Journal | International Journal of Computer Vision |
Volume | 48 |
Issue number | 1 |
DOIs | |
State | Published - Jun 2002 |
Bibliographical note
Funding Information:∗This work has been partly funded by the Israeli Science Ministry grant 1229 and by a grant of the Israeli Science Foundation (ISF).
Keywords
- Dynamic structure from motion
- Multi-linear constraints
- Multiple view geometry