秩亏自由网单点粗变形探测方法研究

Research on the Single Point Rough Deformation Detection Method in Rank Defect Free Network

在变形测量中，对自由网进行变形测量，广泛应用于变形监测和矿山测量中。传统的方法是假设控制网中所有控制点都发生较小的位移变化，通过伪逆矩阵的方法来计算其变形，不适合单个点发生较大位移的情况。本文基于最小一范数在粗差探测中的基本原理，在经典伪逆矩阵方法基础上建立合理的平差解算模型。对于在控制网中仅有一个点发生大幅度变形的情况，通过模拟实验证明该方法比传统方法准确可靠。

Deformation measurement of free networks is widely used in the deformation monitoring and mine sm＇veying. In tra- ditional measurement, the deformation is calculated with pseudo inverse matrix. In this way, it is assumed that all control points in the control network have small displacement, which is not suitable for a single point with larger displacement. Based on the basic principle of the minimum Ll-norm in gross error detection, a reasonable adjustment model is established using the typical pseudo in- verse matrix method. When a point encounters environment destruction and only one point in the control network will undergo great deformation, the method is proved to be more accurate and reliable than the traditional method in simulation experiments.