Open AccessGeodetic Line Interpolation Algorithm with Absolute Precision Threshold Constraints
Author(s) -
Jian Dong,
Binbin Li,
Rencan Peng,
Yang Chen
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/780/3/032046
Subject(s) - interpolation (computer graphics) , geodetic datum , algorithm , interval (graph theory) , linear interpolation , line (geometry) , mathematics , multivariate interpolation , bilinear interpolation , constraint (computer aided design) , computer science , geodesy , geology , geometry , mathematical analysis , statistics , artificial intelligence , combinatorics , polynomial , motion (physics)
The existing geodetic line 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. Aimed at the above problems, in this paper, in this paper, the length of the earth spherop corresponding to the replacement of the geodetic line by the space linear line is calculated according to the curvature of the earth, and it was taken as the maximum interpolation interval so that a geodetic interpolation algorithm with absolute precision threshold constraint was proposed in this paper, 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.