Accurate linear technique for camera calibration considering lens distortion by solving an eigenvalue problem

Sheng-Wen Shih; Yi-Ping Hung; We-Song Lin

doi:10.1117/12.60087

1 January 1993 Accurate linear technique for camera calibration considering lens distortion by solving an eigenvalue problem

Sheng-Wen Shih, Yi-Ping Hung, We-Song Lin

Author Affiliations +

Optical Engineering, Vol. 32, Issue 1, (January 1993). https://doi.org/10.1117/12.60087

Abstract

A new technique for calibrating a camera with high accuracy and low computational cost is proposed. The geometric camera parameters considered include camera position, orientation, focal length, radial lens distortion, pixel size, and optical axis piercing point. With this method, the camera parameters to be estimated are divided into two parts: the radial lens distortion coefficient κ and a composite parameter vector c composed of all the above-mentioned geometric camera parameters other than κ. Instead of using nonlinear optimization techniques, the estimation of κ is transformed into an eigenvalue problem of an 8 x 8 matrix. The method is fast because it requires only linear computation; it is accurate because the effect of the lens distortion is considered and because all the information contained in the calibration points is used. Computer simulations and real experiments show that the calibration method can achieve an accuracy of 1 part in 10,000 in 3-D measurement, which is better than that of the well-known method proposed by R. Y. Tsai.

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Sheng-Wen Shih, Yi-Ping Hung, and We-Song Lin "Accurate linear technique for camera calibration considering lens distortion by solving an eigenvalue problem," Optical Engineering 32(1), (1 January 1993). https://doi.org/10.1117/12.60087

Published: 1 January 1993

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