| 基于Visual Studio的总体最小二乘高程拟合研究及实现 |
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| 引用本文： | 刘洋,张飞,刘荣.基于Visual Studio的总体最小二乘高程拟合研究及实现[J].测绘与空间地理信息,2016(2):202-204. |
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| 作者姓名： | 刘洋 张飞 刘荣 |
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| 作者单位： | 1. 东华理工大学测绘工程学院,江西南昌,330013;2. 东华理工大学测绘工程学院，江西南昌330013; 流域生态与地理环境监测国家测绘地理信息局重点实验室，江西南昌330013 |
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| 摘 要： | GPS水准主要根据测区内若干基准点上的高程异常构建曲面来逼近似大地水准面,由GPS测出基准点的大地高即可求出该点的正常高。本文主要研究一片小区域且较为平坦,应用最小二乘和总体最小二乘对平面拟合法、二次曲面拟合法和三次曲面拟合法进行探讨,并在Visual Studio平台上用Cshape语言实现高程拟合的过程。结果显示,三次曲面拟合法的总体最小二乘相比于其他方法效果最好。
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| 关 键 词： | 最小二乘 总体最小二乘 平面拟合 二次曲面拟合 三次曲面拟合 |
The Total Least Squares Based on Visual Studio Elevation Fitting Research and Implementation |
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| Abstract: | GPS leveling mainly according to the height anomaly on the several benchmark test area to build the surface to approximate geoidal surface, by can calculate geodetic GPS measure datum point of normal high.In this paper, we study a small area and relatively flat areas, the application of least squares and total least squares to plane fitting, quadratic surface fitting method and discusses the three curved surface fitting method, and implemented using Cshape language in Visual Studio platform elevation fitting process.Ac-cording to the results of three times the total least squares surface fitting compared to the other two methods work best. |
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| Keywords: | least squares the total least squares plane fitting quadratic surface fitting three curved surface fitting |
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