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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 6 — Jun. 1, 2008
  • pp: 1389–1394

Homography-based method for calibrating an omnidirectional vision system

Beiwei Zhang and Youfu Li  »View Author Affiliations


JOSA A, Vol. 25, Issue 6, pp. 1389-1394 (2008)
http://dx.doi.org/10.1364/JOSAA.25.001389


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Abstract

We present a homography-based method for calibrating an omnidirectional vision system with a parabolic mirror. Assuming that the intrinsic parameters of the camera are known a priori, we focus on finding the solution for the mirror parameter and its positions. We first estimate the homographic matrix partially using six or more point correspondences. Then the rotation matrix and two components of the translation vector can be estimated. Finally, the remaining parameters are computed. In this method, a closed-form solution for all the variables is obtained using the homographic matrix. Another advantage is the enhanced robustness in implementation via the use of two over-constrained linear systems. Numerical simulations and real data experiments are also performed to validate the proposed algorithm.

© 2008 Optical Society of America

OCIS Codes
(110.0110) Imaging systems : Imaging systems
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.4640) Instrumentation, measurement, and metrology : Optical instruments
(150.0150) Machine vision : Machine vision
(330.0330) Vision, color, and visual optics : Vision, color, and visual optics

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: January 14, 2008
Manuscript Accepted: March 31, 2008
Published: May 21, 2008

Virtual Issues
Vol. 3, Iss. 7 Virtual Journal for Biomedical Optics

Citation
Beiwei Zhang and Youfu Li, "Homography-based method for calibrating an omnidirectional vision system," J. Opt. Soc. Am. A 25, 1389-1394 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-6-1389

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