吴啸龙,杨志强,龚云

• 1:西安科技大学
• 2:长安大学

摘要(Abstract)：

针对目前球坐标多面函数主要局限于球面任意区域对应的最优内部球层参数难以精确计算的问题,该文提出了利用Delaunay三角剖分技术的任意单连通区域球面面积的数值计算方法,解决了球坐标多面函数对球面局部空间数据插值的参数计算问题。为了评估球坐标多面函数对局部区域离散数据的插值精度,利用分布在120°～135°E,18°～28°N的843个大地水准面高程数据建立了两种坐标系的多面函数模型。均方根误差统计结果显示,球坐标多面函数模型的插值精度及稳定性均优于笛卡尔坐标模型。将球坐标多面函数模型分别与几种常用插值方法进行的插值结果精度对比,结果显示该模型仍然具有较好的精确度与稳定性。

关键词(KeyWords)： 球坐标系;多面函数;空间数据插值;Delaunay三角形;均方根误差

Abstract:

Keywords:

基金项目(Foundation): 西安科技大学博士(后)启动金项目(2016QDJ049)

作者(Author): 吴啸龙,杨志强,龚云

DOI: 10.16251/j.cnki.1009-2307.2019.03.008

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