顾及拱高误差的墨卡托大地线快速展绘算法Rapid plotting algorithm for the Mercator geodetic line with regard to the arch height error
董箭,李彬彬,彭认灿,刘波,刘国辉
摘要(Abstract):
针对大地线矢量展绘算法执行过程中存在的内插距离参数与展绘精度无法定量调控与自适应匹配问题,该文将顾及恒向线与大地线夹角的恒向线段推求方法应用扩展至大地线展绘误差的定量评估与控制过程。在建立大地线展绘长度误差及拱高误差定量评估模型的基础上,阐明了内插距离参数取值对大地线展绘精度与效率的影响规律;采用大地线展绘局部拱高误差约束限定大地线展绘整体长度误差的策略,建立了墨卡托投影条件下恒向线与大地线夹角及与大地线展绘拱高限差的数值关联,构建了大地线展绘拱高误差约束的内插距离参数定量调控模型;提出了一种墨卡托投影条件下拱高误差阈值限定的大地线快速展绘算法。实验结果表明:该算法可实现任意长度、经纬度范围的大地线快速展绘,且精度控制在指定阈值范围内。
关键词(KeyWords): 大地线展绘;内插距离参数;拱高误差;定量调控;自适应匹配
基金项目(Foundation): 国家重点研发计划项目(2017YFC1405505);; 国家自然科学基金项目(41601498,41471380)
作者(Author): 董箭,李彬彬,彭认灿,刘波,刘国辉
DOI: 10.16251/j.cnki.1009-2307.2020.09.008
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