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     Research Journal of Applied Sciences, Engineering and Technology


An Approach for Self-Calibration by a Quartered Circle

Yue Zhao and Xiaodan Lv
Institute of Mathematics and Statistics, Yunnan University, Kunming 650091, China
Research Journal of Applied Sciences, Engineering and Technology  2013  8:1457-1461
http://dx.doi.org/10.19026/rjaset.6.3970  |  © The Author(s) 2013
Received: October 31, 2012  |  Accepted: December 22, 2012  |  Published: July 10, 2013

Abstract

The camera calibration is a key step for converting a projective reconstruction into a metric one, which is equivalent to recovering the unknown intrinsic parameters with each image. A circle is a common geometric primitive for the camera self-calibration. To avoid the limit of circle center to the camera self-calibration in a planar template, a method how to solve out the vanishing line is proposed. Then using the property of vanishing line, the camera intrinsic parameters are figured out and the camera self-calibration is achieved. The template contains a quartered circle in the study. Firstly, the camera is used to take photographs of the template from three or more direction. Secondly, using the ellipse and two mutually perpendicular diameters which are extracted from the image, according to the polarity principle and making use of the invariant property of cross-ratio of four lines which are intersected in one same point, the vanishing line can be solved out. In the end, the circular points can be figured out by the intersection between vanishing line and the circle. And using the property of the circular points, the self-calibration is realized.

Keywords:

Circular points, cross-ratio, polarity principle, vanishing line, quartered circle,


References


Competing interests

The authors have no competing interests.

Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.

ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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