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

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

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    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.

    Original languageEnglish
    Title of host publicationInternational Conference Image and Vision Computing New Zealand
    DOIs
    Publication statusPublished - 2010
    Event25th International Conference of Image and Vision Computing New Zealand, IVCNZ 2010 - Queenstown
    Duration: 2010 Nov 82010 Nov 9

    Other

    Other25th International Conference of Image and Vision Computing New Zealand, IVCNZ 2010
    CityQueenstown
    Period10/11/810/11/9

    Fingerprint

    Mirrors
    Differential equations
    Cameras
    Boundary conditions
    Calibration

    Keywords

    • calibration
    • catadioptric camera
    • mirror
    • radial distortion

    ASJC Scopus subject areas

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

    Cite this

    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. In 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.

    Research output: Chapter in Book/Report/Conference proceedingConference 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. in 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. In 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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