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Camera Calibration Based on the Common Self-polar Triangle of Sphere Images

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Computer Vision -- ACCV 2014 (ACCV 2014)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 9004))

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Abstract

Sphere has been used for camera calibration in recent years. In this paper, a new linear calibration method is proposed by using the common self-polar triangle of sphere images. It is shown that any two of sphere images have a common self-polar triangle. Accordingly, a simple method for locating the vertices of such triangles is presented. An algorithm for recovering the vanishing line of the support plane using these vertices is developed. This allows to find out the imaged circular points, which are used to calibrate the camera. The proposed method starts from an existing theory in projective geometry and recovers five intrinsic parameters without calculating the projected circle center, which is more intuitive and simpler than the previous linear ones. Experiments with simulated data, as well as real images, show that our technique is robust and accurate.

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Acknowledgement

The work described in this paper was supported by the National Natural Science Foundation of China (Project no. 61005038 and 61272366) and an internal funding from United International College.

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Authors and Affiliations

  1. Department of Computer Science, Hong Kong Baptist University, Hong Kong, China

    Haifei Huang & Yiu-ming Cheung

  2. United International College, BNU-HKBU, Zhuhai, China

    Haifei Huang, Hui Zhang & Yiu-ming Cheung

  3. Shenzhen Key Lab of Intelligent Media and Speech, PKU-HKUST Shenzhen Hong Kong Institution, Shenzhen, China

    Hui Zhang

Authors
  1. Haifei Huang
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  2. Hui Zhang
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  3. Yiu-ming Cheung
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Corresponding author

Correspondence to Hui Zhang .

Editor information

Editors and Affiliations

  1. Technische Universität München, Garching, Bayern, Germany

    Daniel Cremers

  2. University of Adelaide, Adelaide, South Australia, Australia

    Ian Reid

  3. Keio University, Yokohama, Kanagawa, Japan

    Hideo Saito

  4. University of California at Merced, Merced, California, USA

    Ming-Hsuan Yang

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Huang, H., Zhang, H., Cheung, Ym. (2015). Camera Calibration Based on the Common Self-polar Triangle of Sphere Images. In: Cremers, D., Reid, I., Saito, H., Yang, MH. (eds) Computer Vision -- ACCV 2014. ACCV 2014. Lecture Notes in Computer Science(), vol 9004. Springer, Cham. https://doi.org/10.1007/978-3-319-16808-1_2

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  • DOI: https://doi.org/10.1007/978-3-319-16808-1_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-16807-4

  • Online ISBN: 978-3-319-16808-1

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