摘要
现有的大地线内插算法主要存在以下问题:一是无法脱离海图载体的地图投影性质及其比例尺大小的限制;二是最大插值间隔需人为给定;三是算法结果的精度无法自适应调整。针对上述问题,根据地球曲率解算出由空间直线替代大地线所对应的地球椭球面上的长度,并以此作为最大插值间隔,提出一种绝对精度阈值约束的大地线内插算法。利用经典算例对算法的正确性和结果精度进行了实验验证,结果表明,该算法不仅可以根据绝对精度阈值自适应地调整最大插值间隔,还提高了结果的绝对精度,而且对大地线的距离亦具有广泛适用性。
The existing geodetic interpolation algorithm mainly has the following problems:first,the map projection property and the limitation of the scale size can not be separated from the chart carrier,the second is that the maximum interpolation interval needs to be given artificially,and the third is that the precision of the algorithm results can not be adjusted adaptively.Aiming at the above problems,the length of the Earth ellipsoid corresponding to the replacement of the geodetic line by the space line according to the Earth curvature is analyzed in this paper,and it is taken as the maximum interpolation interval,so that a geodetic interpolation algorithm with absolute precision threshold constraint is proposed too.The correctness of the algorithm and the precision of the results are verified experimentally by using the classical example,and the results show that the algorithm can not only adjust the maximum interpolation interval adaptively according to the absolute precision threshold,but also improve the absolute precision of the results,and also has wide applicability to the distance of geodetic line.
作者
李彬彬
彭认灿
董箭
陈阳
LI Binbin;PENG Rencan;DONG Jian;CHEN Yang(Department of Military Oceanography and Hydrography,Dalian Naval Academy,Dalian 116018,China;Chart Information Center,Tianjin 300450,China)
出处
《海洋测绘》
CSCD
2019年第4期31-35,共5页
Hydrographic Surveying and Charting
基金
国家自然科学基金(41601498)
国家重点研发计划(2017YFC1405505)
关键词
大地主题解算
大地线展绘
内插算法
绝对精度
自适应
solution of geodetic problem
plotting of geodetic line
interpolation algorithm
absolute precision
self-adaption
