Direct fitting of center collinear circles for equidistant fish-eye camera calibration

Feng Yue; Bin Li; Ming Yu

doi:10.1117/1.JEI.22.1.013004

7 January 2013 Direct fitting of center collinear circles for equidistant fish-eye camera calibration

Feng Yue, Bin Li, Ming Yu

Author Affiliations +

Journal of Electronic Imaging, Vol. 22, Issue 1, 013004 (January 2013). https://doi.org/10.1117/1.JEI.22.1.013004

Abstract

An equidistant fish-eye camera can be calibrated using a single image of two sets of parallel lines in the scene, which is very convenient for practical applications. The core of the calibration procedure is the fitting of center collinear circles that intersect at two vanishing points. A fast and accurate fitting method that can be used for equidistant fish-eye camera calibration is presented. First, the fitting problem is formulated as a nonlinear least square problem and solved using Levenberg-Marquardt optimization. The objective function is also derived, as well as the Jacobian required by the Levenberg-Marquardt algorithm. It is also demonstrated how to determine the initial estimations. Experimental results on synthetic data have demonstrated the superiority of our method to two existing approaches in terms of speed and accuracy. Results on real data have also demonstrated its effectiveness for fish-eye camera calibration.

CC BY: © The Authors. Published by SPIE under a Creative Commons Attribution 4.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

Citation Download Citation

Feng Yue, Bin Li, and Ming Yu "Direct fitting of center collinear circles for equidistant fish-eye camera calibration," Journal of Electronic Imaging 22(1), 013004 (7 January 2013). https://doi.org/10.1117/1.JEI.22.1.013004

Published: 7 January 2013

ACCESS THE FULL ARTICLE

JOURNAL ARTICLE
8 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

CITATIONS

Cited by 2 scholarly publications.

Explore citations on Lens.org

KEYWORDS

Cameras

Calibration

Data centers

Lithium

Distortion

Lenses

3D image processing

Show All Keywords

RELATED CONTENT

Passive stereoscopic panomorph system
Proceedings of SPIE (March 12 2013)

Improvement of geometric calibration algorithm with collinear constraints
Proceedings of SPIE (February 08 2019)

Microscopic fringe projection profilometry comparison based on stereoscopic microscope and...
Proceedings of SPIE (November 18 2019)

Research on camera calibration method based on coplanar points
Proceedings of SPIE (June 24 2020)

Camera calibration with lens distortion using weakly localized image features
Proceedings of SPIE (March 22 1999)

Stereo camera calibration with distortion model and using forgetting factor
Proceedings of SPIE (October 22 1993)

A binocular machine vision system for non melanoma skin cancer...
Proceedings of SPIE (February 13 2006)

Subscribe to Digital Library

Receive Erratum Email Alert

Show All Keywords

Keywords/Phrases

Search In:

Publication Years