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Globally Convergent Autocalibration

Benedetti, A.
•
Busti, A.
•
Farenzena, M
•
FUSIELLO, Andrea
2003
  • conference object

Abstract
Existing autocalibration techniques use numerical optimization algorithms that are prone to the problem of local minima. To address this problem, we have developed a method where an interval branch-and-bound method is employed for numerical minimization. Thanks to the properties of Interval Analysis this method is guaranteed to converge to the global solution with mathematical certainty and arbitrary accuracy, and the only input information it requires from the user is a set of point correspondences and a search box. The cost function is based on the Huang-Faugeras constraint of the fundamental matrix. A recently proposed interval extension based on Bernstein polynomial forms has been investigated to speed up the search for the solution. Finally, some experimental results on synthetic images are presented.
DOI
10.1109/ICCV.2003.1238657
WOS
WOS:000186833000187
Archivio
http://hdl.handle.net/11390/677492
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-0345414194
Diritti
metadata only access
Scopus© citazioni
2
Data di acquisizione
Jun 14, 2022
Vedi dettagli
Visualizzazioni
1
Data di acquisizione
Jun 8, 2022
Vedi dettagli
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