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RI | Publications | Gauges and gauge transformations in 3-D reconstruction from a sequence of images
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Gauges and gauge transformations in 3-D reconstruction from a sequence of images
K. Kanatani and D.D. Morris
Proceedings of Fourth Asian Conference on Computer Vision (ACCV 2000), 2000, pp. 1046-1051.
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| 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.
| Notes |
Associated project: Modeling by Videotape
Number of pages: 6
| Text Reference |
K. Kanatani and D.D. Morris, "Gauges and gauge transformations in 3-D reconstruction from a sequence of images," Proceedings of Fourth Asian Conference on Computer Vision (ACCV 2000), 2000, pp. 1046-1051.
| BibTeX Reference |
@inproceedings{Kanatani_2000_3352,
author = "Kenichi Kanatani and Daniel D. Morris",
title = "Gauges and gauge transformations in 3-D reconstruction from a sequence of images",
booktitle = "Proceedings of Fourth Asian Conference on Computer Vision (ACCV 2000)",
year = "2000",
pages = "1046-1051"
}