A critical configuration for reconstruction from rectilinear motion

Authors:
Richard Hartley;Fredrik Kahl
Affiliations:
RSISE, Australia National University;Centre for Mathematical Sciences, Lund University, Sweden
Venue:
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Year:
2003

Citing 4
Cited 1

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
Dualizing Scene Reconstruction Algorithms

SMILE'98 Proceedings of the European Workshop on 3D Structure from Multiple Images of Large-Scale Environments
Ambiguity in Reconstruction From Images of Six Points

ICCV '98 Proceedings of the Sixth International Conference on Computer Vision

Critical Configurations for Projective Reconstruction from Multiple Views

International Journal of Computer Vision

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Abstract

This paper investigates critical configurations for projective reconstruction from multiple images taken by a camera moving in a straight line. Projective reconstruction refers to a determination of the 3D geometrical configuration of a set of 3D points and cameras, given only correspondences between points in the images. A configuration of points and cameras is critical if it can not be determined uniquely (up to a projective transform) from the image coordinates of the points. It is shown that a configuration consisting of any number of cameras lying on a straight line, and any number of points lying on a twisted cubic constitutes a critical configuration. An alternative configuration consisting of a set of points and cameras all lying on a rational quartic curve exists.