非均匀B样条函数的最小二乘法在GPS水准拟合中的应用  

Application of non-uniform B-spline least square in GPS leveling height fitting

作　　者：王建雄[1] 王腾军[2] 

机构地区：[1]云南农业大学水利水电与建筑学院,昆明650201 [2]长安大学地质工程与测绘工程学院,西安710054

出　　处：《测绘科学》2007年第3期65-66,共2页Science of Surveying and Mapping

基　　金：云南省教育厅项目(03Y417D)

摘　　要：最小二乘数据拟合方法的全局性较好,而非均匀B样条函数又具有良好的局部性,因此非均匀B样条最小二乘的稳定性及数值精度都能够得到有效的保证。本文根据已知点的GPS大地高和正常高,用非均匀B样条最小二乘法对GPS高程异常曲面进行拟合。实例计算结果表明,其高程转换精度达到四等结合水准精度,能够满足大比例尺测图的要求。Least square data fitting method has a better precision publicly while non-uniform B-spline has a better precision locally. So, non-uniform B-spline least square has a better data-precision and stability. In this paper, based on known GPS geodetic altitude and normal altitude, the authors use non-uniform B-spline least square for GPS leveling height fitting. The test result shows that the precision of height fitting using this method can reach fourth-grade leveling precision and satisfies the need of large scale topographical mapping.

关 键 词：GPS水准 高程拟合 非均匀B样条 最小二乘 

分 类 号：P228[天文地球—大地测量学与测量工程] P207[天文地球—测绘科学与技术]