A geometric approach for the analysis and computation of the intrinsic camera parameters

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The authors of this paper adopted the projected characteristics of the absolute conic in terms of the Pascal's theorem to propose an entirely new camera calibration method based on purely geometric thoughts. The use of this theorem in the geometric algebra framework allows us to compute a projective invariant using the conics of only two images which expressed using brackets helps us to set enough equations to solve the calibration problem. The method requires restricted controlled camera movements. Our method is less sensitive to noise as the Kruppa's-equation-based methods. Experiments with simulated and real images confirm that the performance of the algorithm is reliable.

论文关键词:Computer vision,Projective geometry,Clifford algebra,Geometric algebra,Calibration,Kruppa's equations,Essential and fundamental matrices

论文评审过程:Received 17 March 2000, Accepted 1 November 2000, Available online 17 October 2001.

论文官网地址:https://doi.org/10.1016/S0031-3203(00)00182-5