Based on projection geometry matrix model and trigonometry analytical model

utility structured light system mathematical model was established

according to characteristics of off-the-shelf digital camera and projector such as high precision of inner structure parameter and steady operation. A calibration scheme for projector was presented that corresponding relation between DMD elementary points and space standard points was established in the presence of digital camera that endue projector with vision function and orthogonal Gray code patterns projected to calibration board. As base of above mathematical model

correction board based on colineation characteristic was designed

and camera lens distortion parameter separated from system parameters was calibrated separately by image method. Mathematical model

calibration formula and correction board are presented. Finally calibration and measurement experiments were done. Feasibility of above scheme was certified by simulation system. Measurement relative error of simulation system is above 0.2% and that of real system is less than 0.7%. Complex surfaces reconstructed by real system have good visual effect.