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Generation method of regular dodecahedron map projection

A dodecahedron and map projection technology, which is applied in the directions of maps/plans/charts, image data processing, 3D image processing, etc., can solve the problems that the entire map cannot be guaranteed to be deformed, misleading, and inconvenient, and achieve easy promotion, The effect of reducing deformation error and low cost

Inactive Publication Date: 2010-12-22
WUHAN UNIV
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AI Technical Summary

Problems solved by technology

The traditional projection method can only guarantee a small deformation in a certain aspect such as angle, length, area or a certain area, but cannot guarantee a more uniform deformation of the entire picture
Therefore, it brings great inconvenience or even misleading to practical application.

Method used

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  • Generation method of regular dodecahedron map projection
  • Generation method of regular dodecahedron map projection
  • Generation method of regular dodecahedron map projection

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Embodiment Construction

[0045] The technical scheme principle of the present invention is illustrated below in conjunction with embodiment and accompanying drawing, see Figure 5 , divided into three parts: mathematical analysis, data shaping, and product shaping:

[0046] (1) Mathematical analysis

[0047] (1.1) Characteristic analysis of the dodecahedron

[0048] The technical solution provided by the present invention is based on the geometric characteristics of a regular dodecahedron, and the basic characteristics are as follows:

[0049] ①The degree of the dihedral angle of the dodecahedron

[0050] ②The relationship between the edge length a of the dodecahedron and the radius R of the circumscribed sphere

[0051] ③The radius of the circumscribed circle of each regular pentagon of the dodecahedron

[0052] (1.2) Orientation of regular dodecahedron

[0053] The invention can realize the projection of the surface maps of the earth, the moon and other regular spheres to the regular dodeca...

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Abstract

The invention provides a generation method of a regular dodecahedron map projection, which comprises the following steps: positioning the position relationship between a map projection and a regular dodecahedron; extracting initial geographical data to obtain the corresponding geographical position of each vertex of the regular dodecahedron; determining each edge of the regular dodecahedron based on the vertices, and respectively forming a pentagon by using five edges in the same plane; projecting the initial geographical data to the regular dodecahedron plane after plane; removing the part excluding the pentagons, and outputting to obtain twelve pentagon maps; and splicing the twelve pentagon maps into the regular dodecahedron. The invention breaks the restriction that the traditional projecting planes are flat ones and developable curves, can project the earth onto the twelve congruent regular pentagons, thereby greatly reducing errors caused by deformation. The three-dimensional regular dodecahedron map generated by a two-dimensional manufacturing technology has the advantages of good planar visibility and low printing cost, thereby being beneficial to the popularization and the advancement of geographical science.

Description

technical field [0001] The invention belongs to the field of map manufacturing technology, in particular to a method for generating a regular dodecahedron map projection. Background technique [0002] In order to provide geographic information on a spherical surface such as the earth, a common method is to obtain a flat map through map projection. [0003] For example, the earth map projection is to establish the relationship between a point on the projection surface (expressed by plane rectangular coordinates (x, y) or polar coordinates (ρ, δ)) and a point on the surface of the earth (expressed by latitude B and longitude L). Functional relationship f 1 , f 2 . Expressing this relationship mathematically, it is [0004] x = f 1 ( B , L ) ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G09B29/00G06T15/00
Inventor 胡鹏李云翔朱福利
Owner WUHAN UNIV
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