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This paper presents a new method for solving the correspondence problem in 3D shape reconstruction using a structured light system (SLS) which projects a grid of laser rays. In this particular case, the correspondence problem amounts to matching up the laser rays and the illuminated spots. We propose a strategy for obtaining configurations of the system -COS- (i.e. the positions of the camera, the laser projector and the measuring scene) that allow to perform an unambiguous direct correspondence. Experimental results demonstrate that our methodology provides our SLS with high capabilities, which permits an efficient use in dynamic applications.