基于整体最小二乘的平面坐标转换模型比较  

Comparison of the plane coordinate transformation model based on total least squares

作　　者：辛明真 翟敏[1] 褚恒滨[2] 

机构地区：[1]山东科技大学测绘科学与工程学院,山东青岛266590 [2]新汶矿业集团孙村煤矿,山东泰安271219

出　　处：《工程勘察》2015年第5期60-63 77,77,共5页Geotechnical Investigation & Surveying

基　　金：山东科技大学研究生创新基金项目(YC140102)

摘　　要：在平面坐标转换中,观测向量和系数矩阵都可能存在误差,此时采用整体最小二乘方法更为合理。针对不同坐标转换模型的转换精度存在差异,本文基于整体最小二乘方法,在MATLAB平台下实现了四参数模型、六参数模型和二次曲面模型,并通过实验对比分析了不同模型的精度及适用条件。For both the observation and design matrix may exist errors in the plane coordinate transformation,using the total least squares is more appropriate. Aiming at different models getting different accuracies,this paper completes the programs of four-parameter model,six-parameter model and quadratic surface model based on the total least squares under the MATLAB platform. The accuracy and application conditions of different models are compared analyzed.

关 键 词：平面坐标转换 整体最小二乘 四参数 六参数 二次曲面拟合 

分 类 号：O241.5[理学—计算数学]