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
Error estimation in reconstruction of quadratic curves in 3D space
International Journal of Computer Mathematics
Relative Pose Estimation from Two Circles
Proceedings of the 30th DAGM symposium on Pattern Recognition
Scene point constraints in camera auto-calibration: an implementational perspective
Image and Vision Computing
Camera calibration using principal-axes aligned conics
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part I
Feature correspondences from multiple views of coplanar ellipses
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
Tensor algebra: a combinatorial approach to the projective geometry of figures
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Camera pose estimation using first-order curve differential geometry
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part IV
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In this paper it is shown how corresponding conics in two images can be used to estimate the epipolar geometry in terms of the fundamental/essential matrix. The corresponding conics can be images of either planar conics or silhouettes of quadrics. It is shown that one conic correspondence gives two independent constraints on the fundamental matrix and a method to estimate the fundamental matrix from at least four corresponding conics is presented. Furthermore, a new type of fundamental matrix for describing conic correspondences is introduced. Finally, it is shown that the problem of estimating the fundamental matrix from 5 point correspondences and 1 conic correspondence in general has 10 different solutions. A method to calculate these solutions is also given together with an experimental validation.