Consistent Fundamental Matrix Estimation in a Quadratic Measurement Error Model Arising in Motion Analysis
Consistent Fundamental Matrix Estimation in a Quadratic Measurement Error Model Arising in Motion Analysis
Consistent estimators of the rank-deficient fundamental matrix yielding information on the relative orientation of two images in two-view motion analysis are derived. The estimators are derived by minimizing a corrected contrast function in a quadratic measurement error model. In addition, a consistent estimator for the measurement error variance is obtained. Simulation results show the improved accuracy of the newly proposed estimator compared to the ordinary total least-squares estimator.
Consistent estimation, Adjusted least squares, Fundamental matrix, Total least squares, Errors-in-variables
3-18
Kukush, A.
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Markovsky, I.
3e68743b-f22e-4b2b-b1a8-2ba4eb036a69
Van Huffel, S.
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Barlow, J.
a79fb2a6-04e7-400e-a67e-8625743bef60
November 2002
Kukush, A.
9cf76e13-c463-47c3-9467-0ae6b04df4ef
Markovsky, I.
3e68743b-f22e-4b2b-b1a8-2ba4eb036a69
Van Huffel, S.
e64be3d0-00e1-4900-ab8e-74aed4792678
Barlow, J.
a79fb2a6-04e7-400e-a67e-8625743bef60
Kukush, A., Markovsky, I. and Van Huffel, S.
,
Barlow, J.
(ed.)
(2002)
Consistent Fundamental Matrix Estimation in a Quadratic Measurement Error Model Arising in Motion Analysis.
Computational Statistics and Data Analysis, 41 (1), .
Abstract
Consistent estimators of the rank-deficient fundamental matrix yielding information on the relative orientation of two images in two-view motion analysis are derived. The estimators are derived by minimizing a corrected contrast function in a quadratic measurement error model. In addition, a consistent estimator for the measurement error variance is obtained. Simulation results show the improved accuracy of the newly proposed estimator compared to the ordinary total least-squares estimator.
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Published date: November 2002
Keywords:
Consistent estimation, Adjusted least squares, Fundamental matrix, Total least squares, Errors-in-variables
Organisations:
Southampton Wireless Group
Identifiers
Local EPrints ID: 263291
URI: http://eprints.soton.ac.uk/id/eprint/263291
ISSN: 0167-9473
PURE UUID: b18d7d1d-8c73-4875-adc8-b561b847d402
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Date deposited: 06 Jan 2007
Last modified: 14 Mar 2024 07:28
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Contributors
Author:
A. Kukush
Author:
I. Markovsky
Author:
S. Van Huffel
Editor:
J. Barlow
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