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

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

研究成果: Conference contribution

抜粋

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IVCNZ 2010 - 25th International Conference of Image and Vision Computing New Zealand
DOI
出版物ステータスPublished - 2010 12 1
イベント25th International Conference of Image and Vision Computing New Zealand, IVCNZ 2010 - Queenstown, New Zealand
継続期間: 2010 11 82010 11 9

出版物シリーズ

名前International Conference Image and Vision Computing New Zealand
ISSN(印刷物)2151-2191
ISSN(電子版)2151-2205

Conference

Conference25th International Conference of Image and Vision Computing New Zealand, IVCNZ 2010
New Zealand
Queenstown
期間10/11/810/11/9

ASJC Scopus subject areas

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

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  • 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. : IVCNZ 2010 - 25th International Conference of Image and Vision Computing New Zealand [6148829] (International Conference Image and Vision Computing New Zealand). https://doi.org/10.1109/IVCNZ.2010.6148829