Estimation of a rotationally symmetric mirror shape from a frontal image of the mirror

J. Fujiki, Y. Usami, H. Hino, S. Akaho, Noboru Murata

    研究成果: Conference contribution

    抄録

    In structure from motion problems, mirror shape reconstruction from mirror image is very interesting. In this paper, we propose a method to estimate the shape of a rotationally symmetric mirror by calibrating a mirror image which has radially symmetric distortion. In the proposed method, the shape of mirror is represented by the set of solution of a differential equation, which is derived from distortion function computed by the calibration of radially symmetric distortion of an image on a rotationally symmetric mirror. The differential equation and the boundary condition are simplified under the assumption that the image on mirror is taken by orthographic projection camera. The experimental result for a real image is presented to demonstrate the performance of our reconstruction method, and the method is applied for reconstruction of the shape of the mirror painted on the Jan van Eyck's Arnolfini Wedding which had drawn in the 15th century.

    元の言語English
    ホスト出版物のタイトルInternational Conference Image and Vision Computing New Zealand
    DOI
    出版物ステータスPublished - 2010
    イベント25th International Conference of Image and Vision Computing New Zealand, IVCNZ 2010 - Queenstown
    継続期間: 2010 11 82010 11 9

    Other

    Other25th International Conference of Image and Vision Computing New Zealand, IVCNZ 2010
    Queenstown
    期間10/11/810/11/9

    Fingerprint

    Mirrors
    Differential equations
    Cameras
    Boundary conditions
    Calibration

    ASJC Scopus subject areas

    • Computational Theory and Mathematics
    • Computer Vision and Pattern Recognition
    • Electrical and Electronic Engineering

    これを引用

    Fujiki, J., Usami, Y., Hino, H., Akaho, S., & Murata, N. (2010). Estimation of a rotationally symmetric mirror shape from a frontal image of the mirror. : International Conference Image and Vision Computing New Zealand [6148829] https://doi.org/10.1109/IVCNZ.2010.6148829

    Estimation of a rotationally symmetric mirror shape from a frontal image of the mirror. / Fujiki, J.; Usami, Y.; Hino, H.; Akaho, S.; Murata, Noboru.

    International Conference Image and Vision Computing New Zealand. 2010. 6148829.

    研究成果: Conference contribution

    Fujiki, J, Usami, Y, Hino, H, Akaho, S & Murata, N 2010, Estimation of a rotationally symmetric mirror shape from a frontal image of the mirror. : International Conference Image and Vision Computing New Zealand., 6148829, 25th International Conference of Image and Vision Computing New Zealand, IVCNZ 2010, Queenstown, 10/11/8. https://doi.org/10.1109/IVCNZ.2010.6148829
    Fujiki J, Usami Y, Hino H, Akaho S, Murata N. Estimation of a rotationally symmetric mirror shape from a frontal image of the mirror. : International Conference Image and Vision Computing New Zealand. 2010. 6148829 https://doi.org/10.1109/IVCNZ.2010.6148829
    Fujiki, J. ; Usami, Y. ; Hino, H. ; Akaho, S. ; Murata, Noboru. / Estimation of a rotationally symmetric mirror shape from a frontal image of the mirror. International Conference Image and Vision Computing New Zealand. 2010.
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    AU - Hino, H.

    AU - Akaho, S.

    AU - Murata, Noboru

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    AB - In structure from motion problems, mirror shape reconstruction from mirror image is very interesting. In this paper, we propose a method to estimate the shape of a rotationally symmetric mirror by calibrating a mirror image which has radially symmetric distortion. In the proposed method, the shape of mirror is represented by the set of solution of a differential equation, which is derived from distortion function computed by the calibration of radially symmetric distortion of an image on a rotationally symmetric mirror. The differential equation and the boundary condition are simplified under the assumption that the image on mirror is taken by orthographic projection camera. The experimental result for a real image is presented to demonstrate the performance of our reconstruction method, and the method is applied for reconstruction of the shape of the mirror painted on the Jan van Eyck's Arnolfini Wedding which had drawn in the 15th century.

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