Mr. Takashi Fujimoto Profile

Takashi Fujimoto

Theoretical Error Analysis

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Proceedings Article | 25 October 2004 Paper

Theoretical error analysis with camera parameter calibration

Takashi Fujimoto, Yoshihiko Nomura, Dili Zhang

Proceedings Volume 5603, (2004) https://doi.org/10.1117/12.570574

KEYWORDS: Calibration, Cameras, Error analysis, Visualization, Machine vision, Imaging systems, Statistical analysis, 3D metrology, Device simulation, Distortion

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The camera calibration for the intrinsic parameters such as the principal point and the principal distance is one of the most important techniques for the 3-D measurement applications based on the cameras' 2D images: the principal point is the intersection of optical axis of camera and image plane, and the principal distance is the distance between the center of lens and principal point. Though the techniques of camera parameter calibration have been intensively investigated by many researchers, the calibration errors were just examined through limited experiments and simulations and no more. Taking up the two-fiducial-plane camera calibration technique, this paper examined the calibration errors theoretically for various conditions such as the fiducial-plane translation, and the principal distances where the extraction errors of image coordinates of the fiducial points were considered as the source of the errors. The estimation error of F and P are theoretically formulized with the analytical equations, and the effectiveness of the formulas is confirmed by comparing the values by the theory with those by the simulations.

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