基于线性模型的导线网平差方法研究  

Traverse network adjustment based on linear model

作　　者：李建章[1] 武生荣 

机构地区：[1]兰州交通大学土木工程学院,兰州730070 [2]甘肃省中医学院,兰州730070

出　　处：《工程勘察》2012年第2期76-80,共5页Geotechnical Investigation & Surveying

摘　　要：传统的导线网平差采用的数学模型为非线性模型,需要进行线性化,并且平差前需要获取各未知参数的近似值。本文提出一种基于线性模型的导线网平差方法,该方法首先以角度作为观测值,利用最小二乘法解算出各导线边的方位角。然后根据各边方位和边长构建基线向量,再以基线向量作为虚拟观测值解算各待求点最或然坐标值。利用该方法进行导线网数据处理,不需要解算待求点近似值,而且程序设计非常容易实现。为验证其正确性,分别就传统方法和新方法设计程序对实例数据进行验证比较,证明其结果是可靠的,而且新方法所需要代码量远远小于传统方法。The mathematical model of the traditional network adjustment is nonlinear and need to be linearized, at the same time the approximate values of all parameters are required before taking adjustment. This paper presents a traverse network adjustment method based on linear model. At first angle observations are used to get bearings of all sides based on adjustment. And then base vectors are constructed by the bearings and distance sand used to get coordinates of all points. The method does not calculate approximation values and the corresponding programming is very easy. In order to validate the correctness, both the new and traditional adjustment method are used to take adjustment of a practical example, the results show that the new method is reliable and fast.

关 键 词：导线网 方位角 平差 

分 类 号：P207.2[天文地球—测绘科学与技术]