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A globally convergent gauss-newton algorithm for the bundle adjustment problem with functional constraints
Umeå University, Faculty of Science and Technology, Department of Computing Science.ORCID iD: 0000-0002-7657-6917
Umeå University, Faculty of Science and Technology, Department of Computing Science.
Umeå University, Faculty of Science and Technology, Department of Computing Science.
2003 (English)In: Optical 3-D measurement techniques: applications in GIS, mapping, manifactoring, quality control, robotics, navigation, mobile mapping, medical imaging, VR generation and animation / [ed] A. Gruen, H. Kahmen, Wichmann-Verlag , 2003, Vol. 2, 269-276 p.Chapter in book (Other academic)
Abstract [en]

This paper describes a Gauss-Newton-based algorithm for the bundle adjustment problem with functional constraints (GNC). The GNC algorithm has superior theoretical convergence properties compared to the conventional bundle algorithm. Both algorithms were applied to simulated measurements of a sphere with 2-3 cameras and 4-9 points. For 2 cameras and 4-5 points, the GNC converged in substantially more cases. For the other configurations, the convergence properties were similar. The added cost for the GNC algorithm was less than 0.01 iterations on average. The GNC algorithm need to be evaluated on real-world problems, but the results suggest that the algorithm will be more reliable for minimum data problems and have a minimal overhead for easy problems.

Place, publisher, year, edition, pages
Wichmann-Verlag , 2003. Vol. 2, 269-276 p.
Series
Optical 3-D Measurement Techniques, VI
Keyword [en]
algorithms, reliability, bundle adjustment, camera calibration, mathematics
Identifiers
URN: urn:nbn:se:umu:diva-40122OAI: oai:DiVA.org:umu-40122DiVA: diva2:397973
Available from: 2011-02-18 Created: 2011-02-16 Last updated: 2014-06-11Bibliographically approved

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Börlin, NiclasLindström, PerEriksson, Jerry
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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf