A mathematical model for structure light measurement was established based on the inspecting principle of coded structure light, and the optimal system configuration parameters were obtained. The interrelationship between model parameters and their errors was investigated. Based on the system geometry structure, the computing model of depth information was established. By analyzing the influence of system parameters on the pattern imaging, the dynamic deformation of pattern images were captured under different measurement conditions, and the geometry relationship of image coordinate changing with the depth was determined. By analyzing the system parameters and depth information errors, system integration constraint condition was observed, and the optimal system figuration was established. Experimental results show that the system relative error established with optimal parameters is about 0.3 ％, which can meet the high-precision measurement requirement of 3D reconstruction of coded structure light.%根据编码结构光检测原理、建立了结构光测量系统的数学模型,研究了该模型各参量之间的相互关系及误差、得到了优化的系统结构参数.按照系统的几何结构,建立了深度信息的计算模型.分析了系统参数对模式成像的影响,实现了测量系统的模式像在不同参数值下的动态变形,并确定了图像坐标随深度值变化的几何关系.通过分析系统参数与深度信息的误差关系,确定了系统集成应遵守的约束条件,集成了最优系统结构.实验结果表明,按照优化参数建立的系统,其测量相对误差约为0.3%,基本满足编码结构光测量系统三维重建的高精度要求.
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