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Camera calibration with enclosing ellipses by an extended application of generalized eigenvalue decomposition

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Abstract

Conics-based calibration has been widely inves- tigated in the past several years. The primary method is to utilize the generalized eigenvalue decomposition (GED) of conics. In this paper, we extend the GED method to deal with a general case: two enclosing ellipses. We construct a link between enclosing ellipses and confocal conics. The homography is, thus, decomposed to three components, each of which corresponds to a clear geometrical meaning. Other general conics cases including separate case, intersecting case and hyperbolas case are also discussed. Experiments with simulated and real data demonstrate the good performance of our camera calibration algorithms.

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Authors and Affiliations

  1. Institute of Image Processing and Pattern Recognition, Shanghai Jiao Tong University, 800 Dongchuan Load, Shanghai, 200240, China

    Shen Cai, Longxiang Huang & Yuncai Liu

  2. School of Control Science and Engineering, Shandong University, Jinan, China

    Zijian Zhao

Authors
  1. Shen Cai
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  2. Zijian Zhao
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  3. Longxiang Huang
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  4. Yuncai Liu
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Correspondence to Shen Cai.

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Cai, S., Zhao, Z., Huang, L. et al. Camera calibration with enclosing ellipses by an extended application of generalized eigenvalue decomposition. Machine Vision and Applications 24, 513–520 (2013). https://doi.org/10.1007/s00138-012-0446-0

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  • DOI: https://doi.org/10.1007/s00138-012-0446-0

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