Development of a Line based Camera Calibration Theory

Authors : Guy Blanchard Ikokou

Volume/Issue : Volume 8 - 2023, Issue 9 - September

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Radial distortions can be modeled through polynomial, division and rational functions. Points based solutions to recover the coordinate of the principal point and the coefficients of radial lens distortions though polynomial, division and rational models, have been proposed in the literature. Points based calibration strategies have been criticized for the lack of accuracy of the calibrated camera parameters. Line-based calibration approaches have been hailed for their good accuracy due to strong geometric constraints imposed on calibration points such as the collinearity constraints. However, in the presence of severe radial distortions due to lens imperfections some line-based calibration strategies fail to model with accuracy the curvature of the 3D world resulting from severe lens distortions. This paper presented a new radial distortion calibration theory based on some properties of hyperbolic curves. The developed and proposed mathematical algorithms enable to recover the parameters of radial distortion as well as the coordinates of the principal point without any need for iterations or minimization of a cost function.

Keywords : Camera Calibration, Principal Point, Radial Lens Distortions.


Paper Submission Last Date
31 - December - 2023

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