Relating vanishing points to catadioptric camera calibration

Wenting Duan; Hui Zhang; Nigel M. Allinson

doi:10.1117/12.2008491

4 February 2013 Relating vanishing points to catadioptric camera calibration

Wenting Duan, Hui Zhang, Nigel M. Allinson

Proceedings Volume 8662, Intelligent Robots and Computer Vision XXX: Algorithms and Techniques; 86620C (2013) https://doi.org/10.1117/12.2008491
Event: IS&T/SPIE Electronic Imaging, 2013, Burlingame, California, United States

Abstract

This paper presents the analysis and derivation of the geometric relation between vanishing points and camera parameters of central catadioptric camera systems. These vanishing points correspond to the three mutually orthogonal directions of 3D real world coordinate system (i.e. X, Y and Z axes). Compared to vanishing points (VPs) in the perspective projection, the advantages of VPs under central catadioptric projection are that there are normally two vanishing points for each set of parallel lines, since lines are projected to conics in the catadioptric image plane. Also, their vanishing points are usually located inside the image frame. We show that knowledge of the VPs corresponding to XYZ axes from a single image can lead to simple derivation of both intrinsic and extrinsic parameters of the central catadioptric system. This derived novel theory is demonstrated and tested on both synthetic and real data with respect to noise sensitivity.

Citation Download Citation

Wenting Duan, Hui Zhang, and Nigel M. Allinson "Relating vanishing points to catadioptric camera calibration", Proc. SPIE 8662, Intelligent Robots and Computer Vision XXX: Algorithms and Techniques, 86620C (4 February 2013); https://doi.org/10.1117/12.2008491

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