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A Critical Configuration for Reconstruction from Rectilinear Motion

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Date

2003

Authors

Hartley, Richard
Kahl, Fredrik

Journal Title

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Volume Title

Publisher

Institute of Electrical and Electronics Engineers (IEEE Inc)

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.

Description

Keywords

Keywords: Cameras; Image analysis; Motion compensation; Parameter estimation; Three dimensional; Critical configuration; Rectilinear compensation; Three dimensional geometrical configuration; Image reconstruction

Citation

URI

http://hdl.handle.net/1885/86581

Collections

ANU Research Publications

Source

Proceedings of the 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition 2003

Type

Conference paper

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