地图投影

Based on these theories, it develops a GIS map projection software using Visual C++ as a platform. The software consists of two parts: analytical ordinal transformation and analytical athwart transformation. Analytical athwart transformation implements map projective transformation with coefficients obtained through numerical method, which is also the main idea of this paper. Map projective transformation process is illustrated with the examples of Mercator projection and conic projection.

地图投影建立了平面上的点(用平面直角坐标或者极坐标表示)和地球表面上的点之间的函数关系，而地理信息系统以平面直角坐标形式通过计算机图形学的方法表示2维或3维地理空间信息，因此，地图投影起到了地球空间与地理信息系统之间的坐标转换的桥梁作用[1]。

In this paper, a series of lunar map projection formulas are deduced including azimuthal projections, cylindrical projections and conical projections. The lunar map projections software is compiled. By caculating lunar map projection distortions, their projection distortion rules are found. Base on the lunar exploration mission, the lunar map projection scheme is given in this paper. The azimuthal conformal projection or the circumcenter perspective azimuthal projection is usually used in small areas, especially in two poles. When the whole map of the moon is needed, the azimuthal conformal projection or the circumcenter perspective azimuthal projection is used within 10° in the poles, and the traverse tangent cylindrical conformal projection or the normal secant conical conformal projection can be used in else areas, furthermore, band-division is necessary to reduce the projection distortion.

本文推导了基于月球参考球的各种投影公式，主要包括方位投影、圆柱投影和圆锥投影；编制了月球地图投影计算软件；对多种月球的投影变形进行了详细的计算，总结分析了各种月球投影的变形规律；结合月球探测的需要，给出了月球投影方案的建议：对于局部的面积较小的投影区域，建议使用等角方位投影或外心透视方位投影；如果绘制月面全图，在两极10°范围内采用等角方位投影或外心透视方位投影，其余区域可以采用等角横切圆柱投影和等角正割圆锥投影，并且要进行分带处理。

In order to reduce distortions of map projection, a new map projection according to the normal of ellipsoid surface is proposed in this paper.

为更大幅度地减小地图投影变形，提出了按椭球面法线投影的一种新的地图投影方法。

Map Projection ; Map Projection Transformation ; The Gauss Projection ; GIS

地图投影；地图投影变换；高斯投影；地理信息系统

This paper systematically states the basic concept of map projection,the map projection transformation,the Gauss zone dividing porjection.

系统阐述了地图投影、地图投影变换、高斯投影及其分带投影的基本原理。

Furthermore the computer implementation process and some key topics including map projection system, map projection parameters, algorithm optimization and error computation and control in the transformation process are discussed in this paper.

以此为基础，具体探讨了地图投影变换计算机实现的主要过程，讨论了地图投影体系、投影参数、算法优化和误差控制等投影变换计算机实现中的关键问题

This thesis focus on GPS application in magnetic suspension engineering:① the formulation of oblique cylindrical projection is worked out according to characteristics of long distance precise engineering and map projection theory. The author has developed an application to accomplish coordinate conversion from generally used coordinate systems to oblique Maglev Coordinates System.② considering not only project peculiarities but also position of control points, selection of initial points, connection type, selection of repeat baseline and ground observed quantities, GPS network is designed on electronic map and we may extract GPS network information by program developed using Visual Basic 6.0 while the results are stored in control point file and baseline vector file.③estimate accuracy of various GPS networks designed on electronic map by method of 2D restriction adjustment. GPS network simulation design and accuracy estimate come true.④Predominate the rules how connection type , repeat baseline and precise baseline of range finder influence GPS network precision through comparing accuracy of various GPS network. Thereby, the solution how to establish GPS network in long distance precise engineering is figured out.

本论文主要研究GPS技术在磁悬浮工程中的应用：①根据长距离精密工程的特点，从地图投影原理出发，推导出斜轴圆柱投影的应用公式，并编制计算软件，实现从常用坐标系统向斜轴磁悬浮坐标系统的转换计算；②在AutoCAD电子地图上，根据工程的需要，并充分考虑控制点的点位、起算点的选择、连接方式、重复基线的选择和地面观测量的选择等因素，在电子地图上进行GPS网的设计，根据Visual Basic 6.0语言编程，提取出GPS网资料，保存在控制点文件和基线向量文件中；③对在电子地图生成的各种类型的GPS网进行二维约束平差的精度估算，实现了GPS网的模拟设计与精度估算；④通过对各种控制网的精度比较，掌握连接方式、重复基线、精密测距仪基线对GPS网精度影响的规律，解决了长距离精密工程GPS网的建立方法。

Many analysis technology and space data are designed by the two-dimensional coordinates or plane coordinate, and used plain map projection methods to storage space coordinates, so many times we all need three-dimensional map projection to convert 3D geographical coordinates into the plane coordinates.

许多分析技术和空间数据都是针对二维坐标或平面坐标设计，以平面地图投影的方式来存储空间坐标，因此很多时候我们都需要利用地图投影将三维的地理坐标转换为平面坐标。

On the basis of Earth surface space using reference ellipsoid as height basis, map space using Gauss-Kruger projection plane as height basis, a viewpoint is proposed that map projection actually establishes corresponding relationship between the height bases of two different spaces above. From the viewpoint of projection and visible representation, the relationships among earth surface space, RS imagery space and map space are analyzed; the differences among different representations of earth surface space are identified theoretically; virtual reality is applied to the representation of land surface space, and a prototype of real 3D virtual reality system based on spatial information is developed. By means of digital simulation, virtual reality representation of land surface space in visual image space is realized.

在以参考椭球面为高程基准面表征地表空间、以高斯-克吕格地图平面为高程基准面表征地图空间的思想基础上，提出了地图投影实质上是建立两个空间的高程基准面之间关系的观点；从投影和可视表达的角度，分析了地表空间、遥感图像空间、地图空间之间的关系，从理论上区分了对地表空间的不同表达方式之间存在的差别；将虚拟现实技术应用于地表空间的表达，研制了空间信息三维虚拟现实系统原型，利用数字模拟技术在视像空间实现了对地表空间的真三维虚拟现实表达。

This paper studies and analyses the map projection transformation, using VC ++ programming language to realize three projection transformation: inclined position projection, Mercator projection and Gaussian M- Ke Lvge projection, and makes the application tests.

本文对地图投影变换做了尝试性的分析研究，利用VC++编程语言实现了斜轴等积方位投影、墨卡托投影和高斯-克吕格投影三种投影变换，并做了应用测试。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。