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

J. Fujiki, Y. Usami, H. Hino, S. Akaho, N. 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 publicationIVCNZ 2010 - 25th International Conference of Image and Vision Computing New Zealand
DOIs
Publication statusPublished - 2010 Dec 1
Event25th International Conference of Image and Vision Computing New Zealand, IVCNZ 2010 - Queenstown, New Zealand
Duration: 2010 Nov 82010 Nov 9

Publication series

NameInternational Conference Image and Vision Computing New Zealand
ISSN (Print)2151-2191
ISSN (Electronic)2151-2205

Conference

Conference25th International Conference of Image and Vision Computing New Zealand, IVCNZ 2010
CountryNew Zealand
CityQueenstown
Period10/11/810/11/9

Keywords

  • calibration
  • catadioptric camera
  • mirror
  • radial distortion

ASJC Scopus subject areas

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

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  • 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 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