Title :
A critical configuration for reconstruction from rectilinear motion
Author :
Hartley, Richard ; Kahl, Fredrik
Author_Institution :
Australia Nat. Univ., Canberra, ACT, Australia
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;
Conference_Titel :
Computer Vision and Pattern Recognition, 2003. Proceedings. 2003 IEEE Computer Society Conference on
Print_ISBN :
0-7695-1900-8
DOI :
10.1109/CVPR.2003.1211397
