利用垂线偏差计算高程异常差法方程的快速构建方法

发布时间：2018-01-11 01:16

本文关键词：利用垂线偏差计算高程异常差法方程的快速构建方法　出处：《武汉大学学报(信息科学版)》2016年06期 　论文类型：期刊论文

【摘要】：利用垂线偏差等重力格网数据平差计算高程异常差时,施加少量GPS/水准点进行控制,可以确定区域似大地水准面,但是采用传统方法在构造法方程时,需要对系数阵的每个元素逐一进行操作,并全部或者对角存储系数阵,具有计算速度慢、占用内存高等问题。为此提出了在平差解算中对系数阵先进行矩阵分块(操作单元为分块矩阵),再稀疏化处理(仅存非零元素),最后拼接的方法,实现了法方程阵的快速构建及解算。实验表明,相比于传统方法,该方法的计算效率提高了至少两个数量级,并且可快速解算传统方法在一般计算机上难以解算的平差问题,对于解算比较规则的格网数据平差问题具有一定的参考与借鉴意义。
[Abstract]:When the height anomaly is calculated by the adjustment of gravity grid data such as vertical deviation, a few GPS / leveling points are applied to control the geoid, but the traditional method is used to construct the normal equation. Each element of the coefficient matrix needs to be operated one by one, and the coefficient matrix is stored in all or diagonally, so the calculation speed is slow. In order to solve this problem, a method of dividing the coefficient matrix into blocks (the operation unit is a block matrix, then sparse processing (only non-zero element is left, finally splicing) is put forward in this paper. The fast construction and solution of the normal equation matrix are realized. The experimental results show that compared with the traditional method, the computational efficiency of this method is improved by at least two orders of magnitude. And it can solve the adjustment problem which is difficult to be solved by the traditional method on the general computer. It has certain reference and reference significance for solving the grid data adjustment problem of the rule of comparison.
【作者单位】：信息工程大学地理空间信息学院;
【基金】：国家863计划(2013AA122502) 国家自然科学基金(41274029)~~
【分类号】：P223
【正文快照】： 利用格网垂线偏差基于天文重力水准的方法规律性。从这种规律性出发,把操作单元变成分块计算相邻结点的高程异常差,施加一定数量的矩阵并且仅存储矩阵中的非零元素,之后再拼接成GPS/水准点进行控制,求得结点的高程异常,可系数阵,不仅可以减少对计算机内存的占用率,而以确定区

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