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Invariants of a pair of conics revisited
Image and Vision Computing - Special issue: BMVC 1991
The projection of two non-coplanar conics
Geometric invariance in computer vision
Projective pose estimation of linear and quadratic primitives in monocular computer vision
CVGIP: Image Understanding
Geometric computation for machine vision
Geometric computation for machine vision
3D interpretation of conics and orthogonality
CVGIP: Image Understanding
Three-dimensional computer vision: a geometric viewpoint
Three-dimensional computer vision: a geometric viewpoint
Conics-based stereo, motion estimation, and pose determination
International Journal of Computer Vision
Projective Reconstruction and Invariants from Multiple Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Canonic representations for the geometries of multiple projective views
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Algebraic and geometric invariant of a pair of non-coplanar conics in space
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Camera Self-Calibration: Theory and Experiments
ECCV '92 Proceedings of the Second European Conference on Computer Vision
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Invariants of Families of Coplanar Conics and Their Applicationsto Object Recognition
Journal of Mathematical Imaging and Vision
When is it Possible to Identify 3D Objects From Single Images Using Class Constraints?
International Journal of Computer Vision
A Linear Algorithm for Computing the Homography from Conics in Correspondence
Journal of Mathematical Imaging and Vision
The Geometry and Matching of Lines and Curves Over Multiple Views
International Journal of Computer Vision
On Calibration and Reconstruction from Planar Curves
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Multiple View Geometry of General Algebraic Curves
International Journal of Computer Vision
Stereo vision system for precision dimensional inspection of 3D holes
Machine Vision and Applications
Catadioptric Camera Calibration Using Geometric Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Conic Geometry and Autocalibration from Two Images
Journal of Mathematical Imaging and Vision
Error estimation in reconstruction of quadratic curves in 3D space
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View matching with blob features
Image and Vision Computing
Projective reconstruction of ellipses from multiple images
Pattern Recognition
Global hand pose estimation by multiple camera ellipse tracking
Machine Vision and Applications
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part I
Scene point constraints in camera auto-calibration: an implementational perspective
Image and Vision Computing
Visually guided robot for radiator sealing
ETFA'09 Proceedings of the 14th IEEE international conference on Emerging technologies & factory automation
Camera calibration using principal-axes aligned conics
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part I
Catheter tracking: filter-based vs. learning-based
Proceedings of the 32nd DAGM conference on Pattern recognition
Projective reconstruction of general 3D planar curves from uncalibrated cameras
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part II
Ellipse constraints for improved wide-baseline feature matching and reconstruction
IWCIA'11 Proceedings of the 14th international conference on Combinatorial image analysis
Constrained 2-D/3-D registration for motion compensation in AFib ablation procedures
IPCAI'11 Proceedings of the Second international conference on Information processing in computer-assisted interventions
Euclidean structure from N ≥ 2 parallel circles: theory and algorithms
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
CIS'05 Proceedings of the 2005 international conference on Computational Intelligence and Security - Volume Part I
Global hand pose estimation by multiple camera ellipse tracking
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
High-Order differential geometry of curves for multiview reconstruction and matching
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Linear pose estimate from corresponding conics
Pattern Recognition
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Conics are widely accepted as one of the most fundamental image features together with points and line segments. The problem of space reconstruction and correspondence of two conics from two views is addressed in this paper. It is shown that there are two independent polynomial conditions on the corresponding pair of conics across two views, given the relative orientation of the two views. These two correspondence conditions are derived algebraically and one of them is shown to be fundamental in establishing the correspondences of conics. A unified closed-form solution is also developed for both projective reconstruction of conics in space from two uncalibrated camera views and metric reconstruction from two calibrated camera views.Experiments are conducted to demonstrate the discriminality of the correspondence conditions and the accuracy and stability of the reconstruction both for simulated and real images.