Camera self-calibration: a new approach for solving the modulus constraint

In this paper, the modulus constraint is used to retrieve the scale factors that are responsible for the nonlinearity of Kruppa's equations. In the case of constant intrinsic parameters, each pair of images identifies a pair of 3D points at infinity whose coordinates are expressed in terms of t...

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Bibliographic Details
Published inProceedings of the 17th International Conference on Pattern Recognition, 2004. ICPR 2004 Vol. 4; pp. 116 - 119 Vol.4
Main Authors Habed, A., Boufama, B.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2004
Subjects
Calibration
Cameras
Computer science
Computer vision
Differential equations
H infinity control
Layout
Nonlinear equations
Pattern recognition
Stability
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Summary:In this paper, the modulus constraint is used to retrieve the scale factors that are responsible for the nonlinearity of Kruppa's equations. In the case of constant intrinsic parameters, each pair of images identifies a pair of 3D points at infinity whose coordinates are expressed in terms of the scale factors we are looking for. By enforcing the coplanarity constraint on these points, a set of quintic bivariate equations is obtained for each triplet of images. Once the scale factors are calculated, the problems of retrieving the plane at infinity and solving Kruppa's equations become straightforward and linear.
ISBN:0769521282
9780769521282
ISSN:1051-4651
2831-7475
DOI:10.1109/ICPR.2004.1333719