Critical motions and ambiguous Euclidean reconstructions in auto-calibration
- 1 January 1999
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 1, 469-475 vol.1
- https://doi.org/10.1109/iccv.1999.791258
Abstract
The motions that lead to ambiguous Euclidean reconstructions in auto-calibration are investigated. Several auto-calibration constraints are considered: vanishing skew, known aspect ratio and internally calibrated cameras except for unknown focal lengths. We give a complete description of such critical motions in terms of algebraic manifolds and, in many cases, an explicit, geometric description for any number of cameras. For example, in the case of internally calibrated cameras except for unknown focal lengths, the only motions for which an affine reconstruction is ambiguous are either (i) rotations around (at most) two fired camera centres, or (ii) a planar motion on a conic with the optical axis tangent to the conic, or (iii) translation along the optical axis with arbitrary rotations around the optical axis. Moreover some practically important cases are also discussed.Keywords
This publication has 9 references indexed in Scilit:
- Self-calibration and metric reconstruction in spite of varying and unknown internal camera parametersPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Metric calibration of a stereo rigPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Critical motions in euclidean structure from motionPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1999
- Resolving ambiguities in auto–calibrationPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1998
- Critical motion sequences for monocular self-calibration and uncalibrated Euclidean reconstructionPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1997
- Autocalibration and the absolute quadricPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1997
- Euclidean reconstruction from image sequences with varying and unknown focal length and principal pointPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1997
- Theory of Reconstruction from Image MotionPublished by Springer Nature ,1993
- A theory of self-calibration of a moving cameraInternational Journal of Computer Vision, 1992