Gauges and gauge transformations in 3-D reconstruction from a sequence of images

Kenichi Kanatani and Daniel 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(s): Modeling by Videotape
Number of pages: 6

Text Reference
Kenichi Kanatani and Daniel 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{Morris_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)",
   pages = "1046-1051",
   year = "2000",
}