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Correcting radial distortion by circle fitting
KTH, School of Computer Science and Communication (CSC), Computer Vision and Active Perception, CVAP.
KTH, School of Computer Science and Communication (CSC), Computer Vision and Active Perception, CVAP.
2005 (English)In: BMVC 2005 - Proceedings of the British Machine Vision Conference 2005, British Machine Vision Association , 2005Conference paper, Published paper (Refereed)
Abstract [en]

A powerful and popular approach for estimating radial lens distortion parameters is to use the fact that lines which are straight in the scene should be imaged as straight lines under the pinhole camera model. This paper revisits this problem using the division model to parameterise the lens distortion. This turns out to have significant advantages over the more conventional parameterisation, especially for a single parameter model. In particular, we demonstrate that the locus of distorted points from a straight line is a circular arc. This allows distortion estimation to be reformulated as circle-fitting for which many algorithms are available. We compare a number of suboptimal methods offering closed-form solutions with an optimal, iterative technique which minimises a cost function on the actual image plane as opposed to existing techniques which suffer from a bias due to the fact that they optimise a geometric cost function on the undistorted image plane.

Place, publisher, year, edition, pages
British Machine Vision Association , 2005.
Keyword [en]
Cost functions, Closed form solutions, Distortion estimation, Iterative technique, Pin-hole camera models, Radial distortions, Radial lens distortion, Sub-optimal method, Undistorted images
National Category
Computer Vision and Robotics (Autonomous Systems)
Identifiers
URN: urn:nbn:se:kth:diva-163632DOI: 10.5244/C.19.9Scopus ID: 2-s2.0-84898404432ISBN: 1-901725-29-4 (print)OAI: oai:DiVA.org:kth-163632DiVA: diva2:801707
Conference
2005 16th British Machine Vision Conference, BMVC 2005, 5 September 2005 through 8 September 2005, Oxford, United Kingdom
Note

QC 20150410

Available from: 2015-04-10 Created: 2015-04-09 Last updated: 2015-04-10Bibliographically approved

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • 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