射影復元を利用したカメラ・プロジェクタシステムの校正

概要

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Projector-camera systems are utilized for getting range data easily. But it needs comlicated calibration. This paper presents a process of calibration for the projector-camera system. First, a fundamental matrix is calculated with the use of projected points on a standard cube surface from the projector. The fundamental matrix is applied to define the projection matricies of the projector and camera that include intrinsic and extrinsic parameters. Three dimensional cooridnates of projected points on the standard cube are reconstructed by projective reconstruction method using the projection matrices, and surfaces of the standard cube are computed with the use of these points in a projection space. And vertices of the standard cube are computed as intersection points of the cube surfaces in the projection space. Finally, projective transformation between the projection space and the world coordinate system is calclated by these vertices. Then intrinsic and extrinsic parameters of the projector-camera system are determined by the proposed calibration method.
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