Critical Motions for Auto-Calibration When Some Intrinsic Parameters Can Vary
Journal of Mathematical Imaging and Vision
Two-Way Ambiguity in 2D Projective Reconstruction from Three Uncalibrated 1D Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Euclidean Reconstruction and Reprojection Up to Subgroups
International Journal of Computer Vision - Special issue on Genomic Signal Processing
Ambiguous Configurations for the 1D Structure and Motion Problem
Journal of Mathematical Imaging and Vision
Critical Curves and Surfaces for Euclidean Reconstruction
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Ambiguous Configurations for 3-View Projective Reconstruction
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
A Six Point Solution for Structure and Motion
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Dualizing Scene Reconstruction Algorithms
SMILE'98 Proceedings of the European Workshop on 3D Structure from Multiple Images of Large-Scale Environments
Critical Configurations for Projective Reconstruction from Multiple Views
International Journal of Computer Vision
Critical Configurations for 1-View in Projections from ℙk → ℙ2
Journal of Mathematical Imaging and Vision
Degeneracy from twisted cubic under two views
Journal of Computer Science and Technology
A critical configuration for reconstruction from rectilinear motion
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
On Camera Calibration with Linear Programming and Loop Constraint Linearization
International Journal of Computer Vision
Twisted cubic: degeneracy degree and relationship with general degeneracy
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part II
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Let S be a set of six points in space, let \psi be any hyperboloid of one sheet containing S, and let I be a sequence of images of S taken by an uncalibrated camera moving over \psi. Then reconstruction from I is subject to a three way ambiguity which is unbroken as long as the optical centre of the camera remains on \psi.Let p be an image of S taken from a point on \psi. The images "near" p define a tangent space which splits into a direct sum W_p\oplus N_p\oplus F_p, where Wp corresponds to images near p for which the ambiguity is maintained, Np corresponds to images for which the ambiguity is broken and Fp corresponds to images which are physically impossible.