Camera distortion correction method based on cross ration invariance

Wang Zhang; Xiaorong Gao; Jinlong Li; Lin Luo

doi:10.1117/12.2548452

20 December 2019 Camera distortion correction method based on cross ration invariance

Wang Zhang, Xiaorong Gao, Jinlong Li, Lin Luo

Proceedings Volume 11209, Eleventh International Conference on Information Optics and Photonics (CIOP 2019); 112092M (2019) https://doi.org/10.1117/12.2548452
Event: Eleventh International Conference on Information Optics and Photonics (CIOP 2019), 2019, Xi'an, China

Abstract

In order to avoid falling into the local optimal solution in the process of linear optimization, a calibration method for calculating the radial and tangential distortion coefficients is proposed. Firstly, the initial internal and external parameters of the camera are obtained by using the coordinates of the characteristic points in the central region of the calibration image. Camera imaging procedure is dividedinto two separate steps in which ideal image point is moved to actual image point through radial distortion and tangential distortion in sequence. With the distortion model and crossratio invariance, the distortion coefficient of the camera can be solved.. It is assumed that the point after distortion correction conforms to perspective projection principle, and the exact value is approximated step with the distortion model and iteration. Compared with the traditional nonlinear optimization method, the average back-projection error of the corrected image coordinates is significantly reduced and has better robustness and accuracy.

Citation Download Citation

Wang Zhang, Xiaorong Gao, Jinlong Li, and Lin Luo "Camera distortion correction method based on cross ration invariance", Proc. SPIE 11209, Eleventh International Conference on Information Optics and Photonics (CIOP 2019), 112092M (20 December 2019); https://doi.org/10.1117/12.2548452

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KEYWORDS

Distortion

Calibration

Cameras

Imaging systems

Image processing

Optimization (mathematics)

Error analysis

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