Geodetic Interpolation Method Constrained by Geodetic Length Tolerance

Abstract

Disclosed is a geodesic line length tolerance constrained geodesic line interpolation method. The geodesic line length tolerance constrained geodesic line interpolation method comprises the followingsteps of reading in the coordinates of latitude and longitude of the start point and the end point of a geodesic line, setting a geodesic line length tolerance; computing the length and the initial azimuth of the geodesic line; through a preset interpolation distance, performing unconstrained equal interval interpolation treatment on the geodesic line; computing the space rectangular coordinates of the start point, the end point and the interpolation point of the geodesic line; computing the length difference between the geodesic line and lines formed among the start point, the end point and the interpolation point of the geodesic line; determining the numerical value relationship between the length difference and the length tolerance, if the length difference is greater than the length tolerance, self-adaptively computing and adjusting local interpolation distance, performing unconstrained equal interval interpolation treatment again on the geodesic line until the length difference issmaller than or equal to the length tolerance, stopping interpolation. Through self-adaptive adjustment and matching of the plotting precision and the interpolation distance of the geodesic line, thegeodesic line length tolerance constrained geodesic line interpolation method achieves precise plotting of the geodesic line in any length under designated precision threshold conditions.

Description

technical field [0001] The invention relates to the technical field of marine surveying and mapping. Background technique [0002] According to the knowledge of geodesy, there must be only one geode for any given two points on the ellipsoidal surface of the earth. Utilizing this feature can accurately express various "straight lines" such as straight territorial sea baselines on a given ellipsoidal surface of the earth. Therefore, it has become more and more popular to regard various "straight lines" as geodetic lines in maritime delimitation. accepted by the maritime states. Such as Figure 1-3 As shown, since most geodetic lines usually appear as very complex curves on various projection planes, and it is not easy to realize their representation on the chart plane according to a strict mathematical model, it is necessary to try to achieve its accurate drawing. question. [0003] In order to solve the above problems, geodesists at home and abroad have conducted in-depth ...

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Problems solved by technology

[0006] In long-term practice, the accurate drawing of the geodetic line mainly depends on the calculation of the maximum interpolation distance of the geodetic line and the local accuracy evaluation of the approach of the small straight line (broken line segment) to the geodetic line. There is no public literature that can quantitatively evaluate The overall accuracy index of geodetic line drawing, and realize the geodetic encrypted interpolation with strict controllable accuracy threshold

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