Partitioning method of equal-area global discrete grids based on warp and weft

Abstract

The invention relates to a partitioning method of equal-area global discrete grids based on a warp and a weft. The partitioning method comprises the following steps of: coinciding six top points connected with a regular octahedron in a sphere with two poles, the equator, a main meridian, a 90-degree meridian, a 180-degree meridian and a 270-degree meridian, obtaining eight spherical triangles by carrying out gnomonic projection on the regular octahedron on a spherical surface, and finishing initial partitioning of the spherical surface; firstly equally dividing each spherical triangle by an arc on which the weft is located, obtaining a spherical sub-triangle and a spherical trapezoid, then equally dividing the obtained spherical sub-triangle and the spherical trapezoid by the arc on which the weft and the warp are located, obtaining one spherical sub-triangle and three spherical trapezoids, and finishing first-layer partitioning; equally dividing each spherical trapezoid by the arc on which the weft and the warp are located; partitioning the spherical sub-triangle into four equal-area parts according to a first-layer partitioning method, and finishing second-layer partitioning, and obtaining sixteen equal-area grid units in all; and carrying out successive recursion partitioning until n-layer partitioning in which a required precision is met.

Description

technical field [0001] The invention relates to a method for subdividing a global discrete grid, in particular to a method for subdividing an equal-area global discrete grid based on latitude and longitude lines. Background technique [0002] With the continuous deepening of research on global issues such as global climate research, global resource management and environmental protection, and global animal and plant ecological monitoring, more and more applications need to be operated on a global scale. At this time, if the data of the spherical or ellipsoid is converted to the plane for processing in the way of map projection, a series of problems will appear: there will be obvious deviations in the calculation of quantities such as length and area, and there will be Problems such as data overlap, fragmentation, and inconsistency in spatial relationships make it impossible to achieve seamless linking of spatial data around the world, and its validity and accuracy have been ...

AI Technical Summary

Problems solved by technology

At this time, if the data of the spherical or ellipsoid is converted to the plane for processing in the way of map projection, a series of problems will appear: there will be obvious deviations in the calculation of quantities such as length and area, and there will be Problems such as data overlap, fragmentation, and inconsistency in spatial relationships make it impossible to achieve seamless linking of spatial data around the world, and its validity and accuracy have been questioned

There are obvious deficiencies in the global discrete grid with equal intervals of longitude and latitude: with the increase of latitude, the change of the area and shape of the grid becomes larger and larger, and the distance between grid points becomes shorter and shorter, resulting in a large The data redundancy is not conducive to the operation of global multi-resolution data

Lukatela, kolar, Most-afavi and others proposed a variety of adaptive spherical discrete grid subdivision methods based on Voronoi. The biggest disadvantage is that recursive subdivision cannot be achieved, so the multi-scale association and operation of global massive data cannot be maintained. Its application is very limited

However, the disadvantage of its grid non-uniformity is also its application is greatly limited. Therefore, on the basis of the global discrete grid subdivision method of longitude and latitude, an appropriate improvement is made to study a global discrete grid with both longitude and latitude. A subdivision method that can overcome the disadvantages of grid non-uniformity and its advantages is very necessary

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