Gauges and gauge transformations in 3-D reconstruction from a sequence of images
Conference Paper, Proceedings of 4th Asian Conference on Computer Vision (ACCV '00), pp. 1046 - 1051, 2000
Abstract
This paper presents a consistent theory for describing indeterminacy and uncertainty of 3-D reconstruction from a sequence of images. First, we present a group-theorectical analysis of gauge transformations and gauges by invoking the Lie group theory. We then discuss how to evaluate the reliability of the solution that has indeterminacy. We also extend the Cramer-Rao lower bound to problems with internal indeterminacy. Finally, we describe the free-gauge approach and the normal form of a covariance matrix that is independent of particular gauges.
BibTeX
@conference{Kanatani-2000-16742,author = {Kenichi Kanatani and Daniel D. Morris},
title = {Gauges and gauge transformations in 3-D reconstruction from a sequence of images},
booktitle = {Proceedings of 4th Asian Conference on Computer Vision (ACCV '00)},
year = {2000},
month = {January},
pages = {1046 - 1051},
}
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