Calibration of quad-camera measurement systems using a one-dimensional calibration object for three-dimensional point reconstruction

Yunhui Li; Ju Huo; Jia Liu; Ming Yang

doi:10.1117/1.OE.58.6.064107

27 June 2019 Calibration of quad-camera measurement systems using a one-dimensional calibration object for three-dimensional point reconstruction

Yunhui Li, Ju Huo, Jia Liu, Ming Yang

Author Affiliations +

Optical Engineering, Vol. 58, Issue 6, 064107 (June 2019). https://doi.org/10.1117/1.OE.58.6.064107

Abstract

A quad-camera visual measurement system must have a calibration accuracy that is equivalent to its reconstruction accuracy. We investigate the effects of quad-camera calibration methods and propose a method based on a one-dimensional (1-D) object. First, the essential matrices are calculated and combined with the RANSAC method to obtain the image coordinate of the 1-D calibration object. Then, the initial values of the four camera matrices are retrieved from the essential matrices to scale. Subsequently, the Euclidean distance between the calibration points of the 1-D calibration object is used to retrieve the scale factor. Furthermore, an uncertainty analysis of three-dimensional (3-D) point reconstruction is conducted, and based on this, an iterative linear calibration method is introduced to refine the initial calibration results. Finally, a set of calibration objective functions are established by analyzing the measurement process. A synthetic optimizing algorithm is adopted to obtain the high-precision calibration results of the quad-camera measurement system. Experiments are conducted to analyze the calibration accuracy and robustness of the proposed method in the presence of noise. The results indicate that the proposed method can increase the 3-D measurement accuracy and robustness.

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Yunhui Li, Ju Huo, Jia Liu, and Ming Yang "Calibration of quad-camera measurement systems using a one-dimensional calibration object for three-dimensional point reconstruction," Optical Engineering 58(6), 064107 (27 June 2019). https://doi.org/10.1117/1.OE.58.6.064107

Received: 11 January 2019; Accepted: 16 May 2019; Published: 27 June 2019

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