坐标拟合的双向解算与矩阵系数的生成

Inter-solution to Coordinate Fit and Creation of Matrix Cells

在地理信息系统、机助制图等应用中,四参数与七参数拟合是坐标转换的重要方法。采取重合点坐标可获得正反算两套拟合参数,从而实现正反算求解。本文阐述了基于四参数与七参数这两种转换模型,通过重组矩阵模型,推求反算数学模型,采用一套拟合参数进行正反算的方法,并给出相应系数矩阵的自动生成程序和解算过程。

In the fields of GIS, CAD, surveying and mapping etc., four-parameter fit and seven-parameter fit are important methods, by which we may get two sets of coordinate conversion parameters for direct and inverse solution. In this paper, the models based on four-parameter and seven-parameter transformation are discussed, inverse models are ascertained by reconstructing the matrixes models, and the solution progress and program for creating corresponding coefficients matrixes are also given.