Geodesic line interpolation method with geodesic line arch height tolerance constrained

A terrestrial, high-limit technology used in complex mathematical operations, measuring devices, surveying and navigation, etc.

Active Publication Date: 2018-04-17
PLA DALIAN NAVAL ACADEMY
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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 (brok

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  • Geodesic line interpolation method with geodesic line arch height tolerance constrained
  • Geodesic line interpolation method with geodesic line arch height tolerance constrained
  • Geodesic line interpolation method with geodesic line arch height tolerance constrained

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[0035] The geodetic line interpolation algorithm constrained by the height limit difference of the ground line arch of the present invention uses a computer to realize the precise drawing of the geodetic line, and uses the method of the present invention to realize the self-adaptive adjustment and matching of the geodetic line drawing precision and the interpolation distance. Assume that the starting point and ending point of the earth line w are points P and point Q respectively; P, Q and the interpolation point T i (i∈[1,n]) (n represents the number of interpolation points on the geodetic line w, n=0,1,2...) The polyline formed by connecting is represented by w'; the initial value of n is 0, representing P, Q-connected polylines.

[0036] At a given geodetic line w crown height limit difference h Ω Under the premise of , use the sphere instead of the earth ellipsoid to calculate the segment w of the polyline w' i '(i∈[0,n])(w' 0 =PT 1 、w i '=T i T i+1 , w' n =T n Q)...

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Abstract

The invention relates to a geodesic line interpolation method with geodesic line arch height tolerance constrained. The geodesic line interpolation method comprises the following steps: reading in longitude and latitude coordinates of a starting point and an end point of a geodesic line; setting the geodesic line arch height tolerance; calculating length, an initial azimuth and midpoints of the longitude and latitude coordinates of each unlabeled broken line section; calculating radium vector of point of tangency of the point on an earth ellipsoid; calculating spatial rectangular coordinates of the starting point and end point of each unlabeled broken line section; calculating geodesic line arch height of each unlabelled broken line section; sequentially judging relation between the geodesic line arch height of each unlabelled broken line section and the geodesic line arch height tolerance, carrying out bipartition encryption interpolation treatment on the broken line section if the geodesic line arch height of the broken line section is higher than the geodesic line arch height tolerance, and carrying out no interpolation treatment on the broken line section if the geodesic line arch height of the broken line section is less than or equal to the geodesic line arch height tolerance. The geodesic line interpolation method provided by the invention has the advantage that preciseplotting of a geodesic line with any length under specified precision and threshold conditions is realized through adaptive adjustment and matching between geodesic line plotting precision and interpolation distance.

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. like 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 and...

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Application Information

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IPC IPC(8): G01C7/02G06F17/17
CPCG01C7/02G06F17/17
Inventor 董箭彭认灿张志衡周唯
Owner PLA DALIAN NAVAL ACADEMY
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