A critical configuration for reconstruction from rectilinear motion

Author

Hartley, Richard ; Kahl, Fredrik

Author_Institution

Australia Nat. Univ., Canberra, ACT, Australia

Volume

1

fYear

2003

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 (three-dimensional) 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 cannot 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.

Keywords

image reconstruction; stereo image processing; 3D geometrical configuration; 3D point; ambiguous configuration; camera configuration; critical configuration; image point; moving camera; multiple image; point configuration; projective reconstruction; rational quartic curve; rectilinear motion; twisted cubic; Cameras; Computer Society; Computer vision; Image reconstruction; Pattern recognition;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Vision and Pattern Recognition, 2003. Proceedings. 2003 IEEE Computer Society Conference on

ISSN

1063-6919

Print_ISBN

0-7695-1900-8

Type

conf

DOI

10.1109/CVPR.2003.1211397

Filename

1211397