On Constraints for the Closed Solution of the Camera Calibration Problem

Tobias Hanning and Rene Schöne


camera calibration, closed form solution, constraint


From a number of homographies observed for the same model one can derive the projection matrix by two necessary conditions introduced by the rotation part of the camera mapping. These constraints can be transformed to a homogeneous system of linear equations.To avoid the trivial solution the domain is constrained to the unit sphere. But this side condition does not reflect any correlation between the parameters. A solution of this problem may not represent a valid projection matrix. In this article we search for more meaningful restrictions of the solution. For some special but relevant cases we are able to express the problem by a quadratic constraint, which leads to a generalized eigenvalue problem. We show the profit of the additional constraints in several experimental results.

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