Proceedings Article10.1109/ICPR.1994.576266
An optimization framework for efficient self-calibration and motion determination
Quang-Tuan Luong,O.D. Faugeras +1 more
- 09 Oct 1994
- Vol. 1, pp 248-252
19
TL;DR: This paper proposes an alternative method to compute at the same time camera calibration and motion, which is robust and efficient, and allows also to take into account the important trinocular constraints.
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Abstract: The problem of calibrating a camera is extremely important for practical applications. While classical work is based on the use of a calibration pattern whose 3D model is a priori known, self-calibration methods have also been investigated. These methods require only point matches obtained during unknown motions, without any a priori knowledge of the scenes. However, the method initially presented by Faugeras, Luong and Maybank (1992) was computationally expensive and sensitive to noise. In this paper, we propose an alternative method to compute at the same time camera calibration and motion, which is robust and efficient. This method allows also to take into account the important trinocular constraints. The practical applicability of our algorithm is illustrated with numerous real examples, which includes 3D reconstruction.
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Citations
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Geometric Computing with Clifford Algebras
Gerald Sommer
- 01 Jan 2001
TL;DR: A recipe for symbolic geometric computing: long geometric introduction to william kingdon clifford's geometric algebras an introduction to geometric algebra with some preliminary minkowski geometric algebra of complex sets.
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A case against Kruppa's equations for camera self-calibration
TL;DR: A type of camera motion is revealed that is not critical for the generic self-calibration problem, but for which the Kruppa equation approach fails, which is a very natural situation for 3D object modeling from images.
Active self-calibration of robotic eyes and hand-eye relationships with model identification
G.Q. Wei,K. Arbter,Gerd Hirzinger +2 more
- 01 Feb 1998
TL;DR: A method for self-calibration of robotic hand cameras by means of active motion through tracking a set of world points of unknown coordinates during robot motion, the internal parameters of the cameras, the mounting parameters as well as the coordinates of the world points are estimated.
83
Self-calibration of a rotating camera with a translational offset
Qiang Ji,Songtao Dai +1 more
- 19 Feb 2004
TL;DR: This paper introduces a new rotation-based camera self-calibration method, which explicitly accounts for the unknown translation offset, and mathematically formulated and solved for differently taking the translation into consideration.
A geometric approach for the analysis and computation of the intrinsic camera parameters
TL;DR: The authors of this paper adopted the projected characteristics of the absolute conic in terms of the Pascal's theorem to propose an entirely new camera calibration method based on purely geometric thoughts that is less sensitive to noise as the Kruppa's-equation-based methods.
14
References
•Proceedings Article
Three-dimensional computer vision: a geometric viewpoint
Olivier Faugeras
- 31 Dec 1993
TL;DR: Results from constrained optimization some results from algebraic geometry differential geometry are shown.
3.4K
A computer algorithm for reconstructing a scene from two projections
TL;DR: A simple algorithm for computing the three-dimensional structure of a scene from a correlated pair of perspective projections is described here, when the spatial relationship between the two projections is unknown.
2.8K
Camera Self-Calibration: Theory and Experiments
Olivier Faugeras,Quang-Tuan Luong,Stephen J. Maybank +2 more
- 19 May 1992
TL;DR: It is shown, using experiments with noisy data, that it is possible to calibrate a camera just by pointing it at the environment, selecting points of interest and then tracking them in the image as the camera moves.
Uniqueness and Estimation of Three-Dimensional Motion Parameters of Rigid Objects with Curved Surfaces
Roger Y. Tsai,Thomas S. Huang +1 more
TL;DR: In this article, it was shown that seven point correspondences are sufficient to uniquely determine from two perspective views the three-dimensional motion parameters (within a scale factor for the translations) of a rigid object with curved surfaces.
Self-calibration from multiple views with a rotating camera
Richard Hartley
- 01 Jun 1994
TL;DR: There is no epipolar structure since all images are taken from the same point in space and determination of point matches is considerably easier than for images taken with a moving camera, since problems of occlusion or change of aspect or illumination do not occur.
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