Self-calibration of a 1D projective camera and its application to the self-calibration of a 2D projective camera
Faugeras, O.
Long Quan
Strum, P.
INRIA, Sophia Antipolis, France;
This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: Oct 2000
Volume: 22,
Issue: 10
On page(s): 1179- 1185
ISSN: 0162-8828
INSPEC Accession Number: 6766379
Digital Object Identifier: 10.1109/34.879801
Current Version Published: 2002-08-06
Abstract
We introduce the concept of self-calibration of a 1D projective camera from point correspondences, and describe a method for uniquely determining the two internal parameters of a 1D camera, based on the trifocal tensor of three 1D images. The method requires the estimation of the trifocal tensor which can be achieved linearly with no approximation unlike the trifocal tensor of 2D images and solving for the roots of a cubic polynomial in one variable. Interestingly enough, we prove that a 2D camera undergoing planar motion reduces to a 1D camera. From this observation, we deduce a new method for self-calibrating a 2D camera using planar motions. Both the self-calibration method for a 1D camera and its applications for 2D camera calibration are demonstrated on real image sequences.
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