关键词: 加权最小二乘, 复杂曲面, 动态精度评估, 加权信息矩阵, 定位约束分析, 定位算法

Abstract: It is increasingly urgent for researching localization algorithms to meet the geometric precision evaluation of high precision manufactured parts.Accuracy requirements on different surfaces are often different in the inspection of complex surfaces,if the localization between the measurement dataset and the nominal surface proceeds ignoring the difference,the error judgment for precision evaluation will make.Considering the quantitative influence of regional accuracy on localization result,a new adaptive localization method was proposed.A dynamic accuracy assessment mechanism was embedded in the localization process.The effect of local surface with different accuracy on localization was expressed by local accuracy prediction.Appropriate weighting parameters were iteratively in real time given to these surfaces.Local accuracy was approximated adaptively.Localization constraints were analyzed by the weighted information matrix and the working mechanism of the proposed localization algorithm was revealed.The experiments on a simulated cube and a real impeller verify the validity,practicability and advantage of the proposed algorithm.It had great significance for the precision and efficiency of the localization for complex surface with a large number of measured data.

Key words: weighted least square, complex surface, dynamic accuracy assessment, weighting information matrix, constraints analysis of localization, localizaiton algorithm