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2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR '03) - Volume 1
A Critical Configuration for Reconstruction from Rectilinear Motion
Madison, Wisconsin
June 18-June 20
ISBN: 0-7695-1900-8
ASCII Text
x 
 
Richard Hartley, Fredrik Kahl, "A Critical Configuration for Reconstruction from Rectilinear Motion," Computer Vision and Pattern Recognition, IEEE Computer Society Conference on, vol. 1, pp. 511, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR '03) - Volume 1, 2003.
 
 
BibTex
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@article{ 10.1109/CVPR.2003.1211397,
author = {Richard Hartley and Fredrik Kahl},
title = {A Critical Configuration for Reconstruction from Rectilinear Motion},
journal ={Computer Vision and Pattern Recognition, IEEE Computer Society Conference on},
volume = {1},
year = {2003},
issn = {1063-6919},
pages = {511},
doi = {http://doi.ieeecomputersociety.org/10.1109/CVPR.2003.1211397},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - CONF
JO - Computer Vision and Pattern Recognition, IEEE Computer Society Conference on
TI - A Critical Configuration for Reconstruction from Rectilinear Motion
SN - 1063-6919
SP
EP
A1 - Richard Hartley,
A1 - Fredrik Kahl,
PY - 2003
KW - null
VL - 1
JA - Computer Vision and Pattern Recognition, IEEE Computer Society Conference on
ER -
 
Richard Hartley, Australia National University
Fredrik Kahl, Lund University, Sweden
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.
Citation:
Richard Hartley, Fredrik Kahl, "A Critical Configuration for Reconstruction from Rectilinear Motion," cvpr, vol. 1, pp.511, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR '03) - Volume 1, 2003
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