Camera Calibration and Scene Modeling from Arbitrary Parallelograms Imposing the Multiview Constraints

This paper proposes a novel framework using geometric information on parallelograms for camera calibration and scene modeling. The proposed method solves the problem linearly with factorizing a measurement matrix into the camera and plane parameters. The measurement matrix contains canonic planar homographies between camera views and planes on which arbitrary parallelograms lie. Since the factorization based approaches recover all camera poses simultaneously, the consistency of rigid transformations among cameras can be ensured. The previous parallelogram-based approaches solving the problem linearly cannot guarantee this consistency because they are based on the infinite homographies extracted from the individual pairs of camera images. The proposed method is more useful than the previous factorization based approach using parallelepipeds because parallelograms are more basic scene elements. The results of the experiments with real outdoor images are presented to demonstrate the feasibility of the proposed method.