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3D spatial distortion model based on the Lagrange difference in a binocular visual system

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Abstract

The accuracy of binocular visual system calibration using the traditional method is poor in the depth direction. To enlarge the high-accuracy field of view (FOV) of a binocular visual system, a 3D spatial distortion model (3DSDM) based on the 3D Lagrange difference is proposed to minimize 3D space distortion. In addition, a global binocular visual model (GBVM) is proposed that contains the 3DSDM and a binocular visual system. The GBVM calibration method and 3D reconstruction method are based on the Levenberg–Marquardt method. Experiments were carried out to verify the accuracy of our proposed method by measuring the length of the calibration gauge in a 3D space. Experiments show that compared to traditional methods our method can improve the calibration accuracy of a binocular visual system. Our GBVM has a lower reprojection error, higher accuracy, and a larger working field.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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