Critical motions in euclidean structure from motion
- 23 June 1999
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
Abstract
This work was supported by Esprit LTR project CUMULI.International audienceWe investigate the motions that lead to ambiguous Euclidean scene reconstructions under several common calibration constraints, giving a complete description of such critical motions for: (i) internally calibrated orthographic and perspective cameras; (ii) in two images, for cameras with unknown focal lengths, either different or equal. One aim of the work was to evaluate the potential of modern algebraic geometry tools for rigorously proving properties of vision algorithms, so we use ideal theoretic calculations as well as classical algebra and geometry. We also present numerical experiments showing the effects of near-critical configurations for the varying and fixed focal length methodsKeywords
This publication has 13 references indexed in Scilit:
- Stereo from uncalibrated camerasPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Self-calibration and metric reconstruction in spite of varying and unknown internal camera parametersPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- From projective to Euclidean space under any practical situation, a criticism of self-calibrationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Critical motion sequences for monocular self-calibration and uncalibrated Euclidean reconstructionPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1997
- The modulus constraint: a new constraint self-calibrationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1996
- Theory of Reconstruction from Image MotionPublished by Springer Nature ,1993
- A theory of self-calibration of a moving cameraInternational Journal of Computer Vision, 1992
- Multiple interpretations of the shape and motion of objects from two perspective imagesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1990
- Motion fields are hardly ever ambiguousInternational Journal of Computer Vision, 1988
- Multiple interpretations of a pair of images of a surfaceProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1988