The twisted cubic and camera calibration
Computer Vision, Graphics, and Image Processing
Motion and Structure From Two Perspective Views: Algorithms, Error Analysis, and Error Estimation
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
A theory of self-calibration of a moving camera
International Journal of Computer Vision
A stability analysis of the fundamental matrix
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Artificial Intelligence - Special volume on computer vision
Self-Calibration of a Moving Camera from PointCorrespondences and Fundamental Matrices
International Journal of Computer Vision
In Defense of the Eight-Point Algorithm
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Development and Comparison of Robust Methodsfor Estimating the Fundamental Matrix
International Journal of Computer Vision
Determining the Epipolar Geometry and its Uncertainty: A Review
International Journal of Computer Vision
On accurate and robust estimation of fundamental matrix
Computer Vision and Image Understanding
Robust detection of degenerate configurations while estimating the fundamental matrix
Computer Vision and Image Understanding
A Case Against Kruppa's Equations for Camera Self-Calibration
IEEE Transactions on Pattern Analysis and Machine Intelligence
Critical Motions for Auto-Calibration When Some Intrinsic Parameters Can Vary
Journal of Mathematical Imaging and Vision
Multiple view geometry in computer vision
Multiple view geometry in computer vision
Theory of Reconstruction from Image Motion
Theory of Reconstruction from Image Motion
Epipolar Geometry in Stereo, Motion, and Object Recognition: A Unified Approach
Epipolar Geometry in Stereo, Motion, and Object Recognition: A Unified Approach
Ambiguous Configurations for 3-View Projective Reconstruction
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Ambiguity in Reconstruction From Images of Six Points
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Nonlinear Estimation of the Fundamental Matrix with Minimal Parameters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Two-View Geometry Estimation Unaffected by a Dominant Plane
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 1 - Volume 01
Globally Optimal Estimates for Geometric Reconstruction Problems
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Critical Configurations for Projective Reconstruction from Multiple Views
International Journal of Computer Vision
RANSAC for (Quasi-)Degenerate data (QDEGSAC)
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
Detecting and Handling Unreliable Points for Camera Parameter Estimation
International Journal of Computer Vision
The invariant representations of a quadric cone and a twisted cubic
IEEE Transactions on Pattern Analysis and Machine Intelligence
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Fundamental matrix, drawing geometric relationship between two images, plays an important role in 3- dimensional computer vision. Degenerate configurations of the space points and the two camera optical centers affect stability of computation for fundamental matrix. In order to robustly estimate fundamental matrix, it is necessary to study these degenerate configurations. We analyze all the possible degenerate configurations caused by twisted cubic and give the corresponding degenerate rank for each case. Relationships with general degeneracies, the previous ruled quadric degeneracy and the homography degeneracy, are also reported.