结构光投影测量中不确定度建模及定量分析

结构光投影测量可实现快速非接触三维精密测量，广泛用于工程检测领域尤其是智能制造中的在线测量，然而目前国际上尚未建立评估该测量技术不确定度的标准，阻碍该技术在高精度测量领域的进一步发展。本项目将深入研究结构光投影测量不确定度。针对测量误差影响因素繁多且复杂等导致的建模困难问题，采用控制变量法研究各主要影响因素与投影结构光测量不确定度之间的量化关系，基于蒙特卡罗法(MCM)建立适用于结构光投影测量系统不确定度计算的数学模型；利用MCM不受非线性模型限制、计算过程简便以及更适合计算机模拟等优点，对基于《测量不确定度表示指南》(GUM)的评估结果进行验证和补充，提高结构光投影测量不确定度数学模型的鲁棒性;发展一种针对结构光投影测量系统的校准方法对其测量结果进行评估，为结构光投影测量系统的实验设计、参数选取和性能评估提供标准参考和指导。研究将促进结构光投影测量成为一项完整的测量技术，拓展其应用前景。

Digital fringe projection (DFP) technology can realize rapid, noncontact precision 3D measurement, which has been adopted in the applications of various engineering inspection fields especially the production online measurement in intelligent manufacturing. However, there is still a lack of international standard for measurement uncertainty by DFP, which hampers the further development of DFP in high precision metrology. The present study aims to investigate uncertainty of DFP measurement. Due to the numerous, diverse and complex factors that affect the measurement results which lead to the difficult modelling, control variates method is employed to study the quantitative relations between the influence factors and measurement uncertainty of DFP. Monte Carlo method (MCM) is used to mathematically model the measurement uncertainty of DFP. Taking the advantages of MCM such unconstrained nonlinear model, convenient computation, feasible simulation by computer, etc., MCM is used to evaluate and supplement the results based on Guide to the Expression of Uncertainty in Measurement (GUM) and hence improve the robustness of the mathematical model of uncertainty for DFP measuring system. The project also will develop a calibration method to evaluate the measurement results by DFP, and thereafter provide the guide for experimental design, parameter selection, and performance evaluation for DFP measuring system. The proposed research will advance the development of DFP measurement to be a complement technique, and therefore expand its application prospects.