| 非均匀B样条函数的最小二乘法在GPS水准拟合中的应用 |
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| 引用本文： | 王建雄,王腾军.非均匀B样条函数的最小二乘法在GPS水准拟合中的应用[J].测绘科学,2007,32(3):65-66. |
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| 作者姓名： | 王建雄 王腾军 |
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| 作者单位： | 云南农业大学,水利水电与建筑学院,昆明,650201;长安大学,地质工程与测绘工程学院,西安,710054 |
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| 基金项目： | 云南省教育厅项目(03Y417D) |
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| 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。
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| 关 键 词： | GPS水准 高程拟合 非均匀B样条 最小二乘 |
| 文章编号： | 1009-2307(2007)03-0065-02 |
| 修稿时间： | 2006-04-28 |
Application of non - uniform B - spline least square in GPS leveling height fitting |
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| WANG Jian-Xiong,WANG Teng-Jun.Application of non - uniform B - spline least square in GPS leveling height fitting[J].Science of Surveying and Mapping,2007,32(3):65-66. |
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| Authors: | WANG Jian-Xiong WANG Teng-Jun |
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| Abstract: | 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. |
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| Keywords: | GPS leveling height fitting non-uniform B-spline least square |
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