工程平面控制网置平平差的方法研究

Calculation method of soft fixed adjustment for engineering horizontal network

提出一种将秩亏自由网平差和三参数坐标转换相结合的平面控制网平差方法,其特点是在平差过程中控制网整体网形不因上级控制点点位的改变而变化。首先介绍秩亏自由网平差及其精度评定的原理,推导进行控制网三参数坐标转换及对置平后的控制网进行精度评定的数学模型。仿真计算结果证明了对传统边角控制网而言,置平平差较约束平差具有更强的抗原始数据误差的能力,是一种工程平面控制网平差的新方法。

A new calculation method for horizontal network which is combined with adjustment of rank defect free network and three - parameter coordinate transformation was proposed. Its characteristic is that the integral shape of the network doesn＇ t change due to the variation of the position of superior control points. Firstly, the principle of calculation for adjustment of rank defect free network was introduced and then the mathematical model for three - parameter coordinate transformation and precision evaluation of the network after soft fixed adjustment were derived. The simulation results demonstrate that soft fixed adjustment has a stronger resistance to the original data error compared with constrained adjustment for the traditional horizontal network. Therefore, soft fixed adjust- ment can be used as a new method for the data processing of engineering horizontal network.