Conics-based stereo, motion estimation, and pose determination
International Journal of Computer Vision
Trilinearity in visual recognition by alignment
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
What can two images tell us about a third one?
International Journal of Computer Vision
Conic Reconstruction and Correspondence From Two Views
IEEE Transactions on Pattern Analysis and Machine Intelligence
3D curve reconstruction from uncalibrated cameras
3D curve reconstruction from uncalibrated cameras
Lines and Points in Three Views and the Trifocal Tensor
International Journal of Computer Vision
Reduced Multilinear Constraints: Theory and Experiments
International Journal of Computer Vision
Algebraic Functions For Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Geometry and Matching of Curves in Multiple Views
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Computation of the Quadrifocal Tensor
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
A Common Framework for Multiple View Tensors
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Conic Based Image Transfer for 2-D Objects: A Linear Algorithm
ACCV '98 Proceedings of the Third Asian Conference on Computer Vision-Volume II
A linear method for reconstruction from lines and points
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
On the geometry and algebra of the point and line correspondences between N images
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Trilinearity of three perspective views and its associated tensor
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Matching constraints and the joint image
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
3-D Curve Reconstruction from Uncalibrated Cameras
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
Multilinear Relationships between the Coordinates of Corresponding Image Conics
ICPR '00 Proceedings of the International Conference on Pattern Recognition - Volume 1
Camera calibration using principal-axes aligned conics
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part I
C-arm pose estimation using a set of coplanar ellipses in correspondence
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
Conics with a common axis of symmetry: properties and applications to camera calibration
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Three
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This paper presents a study, based on conic correspondences, on the relationship between two perspective images acquired by an uncalibrated camera. We show that for a pair of corresponding conics, the parameters representing the conics satisfy a linear constraint. To be more specific, the parameters that represent a conic in one image are transformed by a five-dimensional projective transformation to the parameters that represent the corresponding conic in another image. We also show that this transformation is expressed as the symmetric component of the tensor product of the transformation based on point/line correspondences and itself. In addition, we present a linear algorithm for uniquely determining the corresponding point-based transformation from a given conic-based transformation up to a scale factor. Accordingly, conic correspondences enable us to easily handle both points and lines in uncalibrated images of a planar object.