圆形建(构)筑物圆心坐标解算平差模型分析

Analysis on the Adjustment Model of Center Coordinates Calculation for Circular Constructions

在利用圆形建(构)筑物圆周点位坐标解算圆心坐标的过程中,需建立平差模型以消除观测误差对解算结果的影响。首先根据三点法直接计算圆心点位坐标,随后利用特殊参数法和极坐标法建立间接平差模型以消除观测误差影响。为确定模型的可靠性,采用模拟实验验证三种算法的精度,结果表明:特殊参数法解算精度最高,且受参数初始值影响较小,体现出良好的鲁棒性,最后将特殊参数法应用于实际工程测量中,以验证算法实用性。

In the center coordinates calculation of circular building(structure)building,adjustment model is needed to eliminate the effect of observation error.At first,the center coordinates is calculated directly according to the three-point method,then the indirect adjustment model is established by using the special parameter method and the polar coordinate method.In order to determine the reliability of the model,the accuracy of the three algorithms were verified by simulation experiment.The results showed that the special parameter method had the highest accuracy and hardly affected by the initial value of the parameters,it also shows good robustness.Finally,the special parameter method was used to calculate the central coordinates in the actual engineering to verify the practicability of the algorithm.