TY - GEN
T1 - Estimation of a rotationally symmetric mirror shape from a frontal image of the mirror
AU - Fujiki, J.
AU - Usami, Y.
AU - Hino, H.
AU - Akaho, S.
AU - Murata, N.
PY - 2010/12/1
Y1 - 2010/12/1
N2 - 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.
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.
KW - calibration
KW - catadioptric camera
KW - mirror
KW - radial distortion
UR - http://www.scopus.com/inward/record.url?scp=84858980745&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84858980745&partnerID=8YFLogxK
U2 - 10.1109/IVCNZ.2010.6148829
DO - 10.1109/IVCNZ.2010.6148829
M3 - Conference contribution
AN - SCOPUS:84858980745
SN - 9781424496303
T3 - International Conference Image and Vision Computing New Zealand
BT - IVCNZ 2010 - 25th International Conference of Image and Vision Computing New Zealand
T2 - 25th International Conference of Image and Vision Computing New Zealand, IVCNZ 2010
Y2 - 8 November 2010 through 9 November 2010
ER -