Some Properties of the E Matrix in Two-View Motion Estimation
IEEE Transactions on Pattern Analysis and Machine Intelligence
A theory of self-calibration of a moving camera
International Journal of Computer Vision
Artificial Intelligence - Special volume on computer vision
Kruppa's Equations Derived from the Fundamental Matrix
IEEE Transactions on Pattern Analysis and Machine Intelligence
Self-Calibration of a Moving Camera from PointCorrespondences and Fundamental Matrices
International Journal of Computer Vision
Stratified Self-Calibration with the Modulus Constraint
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Case Against Kruppa's Equations for Camera Self-Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiple view geometry in computer visiond
Multiple view geometry in computer visiond
Algebraic Functions For Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Autocalibration and the absolute quadric
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Critical Motion Sequences for Monocular Self-Calibration and Uncalibrated Euclidean Reconstruction
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Euclidean Reconstruction from Constant Intrinsic Parameters
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
Three-Dimensional Projective Reconstruction from Three Views
ICPR '00 Proceedings of the International Conference on Pattern Recognition - Volume 1
From Projective to Euclidean Space Under any Practical Situation, a Criticism of Self-Calibration
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Camera Autocalibration and Horopter Curves
International Journal of Computer Vision
Globally Convergent Autocalibration Using Interval Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Camera Autocalibration and the Calibration Pencil
Journal of Mathematical Imaging and Vision
On the Absolute Quadratic Complex and Its Application to Autocalibration
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 1 - Volume 01
The Absolute Line Quadric and Camera Autocalibration
International Journal of Computer Vision
Camera self-calibration from bivariate polynomial equations and the coplanarity constraint
Image and Vision Computing
Conflict resolution in a knowledge-based system using multiple attribute decision-making
Expert Systems with Applications: An International Journal
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This paper presents a new set of equations for the self-calibration of a moving camera with constant intrinsic parameters. Unlike most existing methods that require solving equations in three or more unknowns, the proposed equations are only bivariate. In particular, we show that the three scale factors appearing in the Kruppa's equations, that are due to a triplet of images, are not independent but rather closely related. This relationship is used to derive sextic bivariate polynomial equations and allow the recovery of the unknown scale factors using a homotopy continuation method. Once the scale factors are calculated, an estimate of Kruppa's coefficients can be linearly retrieved and then refined through a nonlinear least-squares optimization procedure. The results of our experiments conducted on simulated data as well as the three-dimensional structure reconstruction using real images are also presented in the paper.