Abstract

With a paracatadioptric camera, according to the projective antipodal properties of the space sphere in the unit sphere model, two infinity points and a symmetric axis can be obtained. On the image plane, the image of the symmetric axis is the vanishing point’s polar with respect to the image of the absolute conic (IAC), and an infinity point is orthogonal to the polar direction of a circle. Thus, we obtain three vanishing points orthogonal to each other. This study extends research into the internal sphere parameters and the vanishing point in a paracatadioptric camera. The results of tests confirm the feasibility and effectiveness of the proposed calibration algorithms.

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