综合性地图集数学基础设计与实践

发布时间：2018-05-27 12:11

本文选题：数学基础设计 + 地图集　；参考：《解放军信息工程大学》2013年硕士论文

【摘要】：综合性地图集数学基础设计是图集总体设计的重要环节，是图集科学性和系统性的重要保证。随着新技术的发展和需求的提升，国内外广泛开展了地图集的设计与编制，取得了较好的成果，，并对数学基础提出了更高的要求。本文以投影选择与设计为重点，围绕综合性地图集的数学基础设计开展了研究与实践。主要内容包括： 1．从综合性地图集的内涵及特点出发，论述了地图集数学基础设计的主要内容，分析了地图集对数学基础科学性、可比性和系统性的基本要求，阐述了地图集投影选择与设计应遵循的原则。 2．较为系统的分析和总结了国内外已出版的综合性地图集中世界全图、洲图与洋图、国家与区域图的常用投影，分析了地图集投影选择与设计的发展趋势，探讨了地图集投影选择与设计中值得关注的问题。 3．研究了地图集投影选择与设计中若干问题。采用基于样本统计的投影变形分析方法，为大范围制图区域投影变形的评价提供了科学的依据；探求了非标准椭圆等面积伪圆柱投影，改善了世界全图的投影变形和经纬网的视觉效果；建立了具有概括意义的温克尔投影公式，改良了该投影编制世界全图时投影总变形分布的均衡程度；研究了适用于增强洲图经纬网的球形感和立体感的反外心透视方位投影；拟合并扩展了等差分纬线多圆锥投影的正解变换公式，提高了采用该投影编制世界全图的精度及其与新编图页面的适应性。 4．建立了地图集数学基础设计实验系统。将本文围绕综合性地图集数学基础设计的研究成果应用于新版《军官地图集》的数学基础设计，拟定了图集中主要图幅投影选择与设计的方案。本文的研究成果为开展地图集数学基础设计和提高设计水平提供了理论参考与技术借鉴，对完善和发展地图投影的理论与方法具有较为重要的意义和价值。
[Abstract]:The basic mathematical design of comprehensive atlas is an important link in the overall design of atlas, and it is also an important guarantee for the scientific and systematic atlases. With the development of new technology and the improvement of demand, the design and compilation of atlas have been widely carried out both at home and abroad, and good results have been obtained, and higher requirements for mathematical foundation have been put forward. This paper focuses on the selection and design of projection, and focuses on the basic mathematical design of comprehensive atlas. The main elements include: 1. Based on the connotation and characteristics of the comprehensive atlas, this paper discusses the main contents of the basic design of the mathematical basis of the atlas, and analyses the basic requirements of the atlas for the scientific nature, comparability and systematicness of the mathematical foundation. This paper expounds the principles to be followed in the selection and design of atlas projection. 2. This paper systematically analyzes and summarizes the common projection of the world map, continent map and ocean map, national and regional map, and analyses the trend of the selection and design of the map projection, which has been published both at home and abroad, including the world map, the continent map and the ocean map, and the common projection of the national and regional maps. The selection and design of atlas projection are discussed. 3. Some problems in the selection and design of atlas projection are studied. The projection deformation analysis method based on sample statistics is used to provide a scientific basis for the evaluation of projection deformation in a wide range of cartographic areas, and the pseudo cylindrical projection of non-standard ellipse with equal area is explored. The projection deformation of the whole world map and the visual effect of the warp and weft net are improved, and the generalized Winkel projection formula is established, and the equilibrium degree of the total projection deformation distribution is improved when the projection compiles the whole world map. In this paper, the anti-outer perspective azimuth projection, which is suitable for enhancing the spherical and three-dimensional sense of the warp and weft network of the continent map, is studied, and the positive solution transformation formula of the equal-difference weft line multi-cone projection is extended by the pseudo amalgamation. The accuracy of using the projection to compile the whole world map and its adaptability to the new map page are improved. 4. The experiment system of basic mathematical design of atlas is established. In this paper, the research results of mathematical basic design of comprehensive atlas are applied to the mathematical basic design of the new edition of military officers Atlas, and the scheme of the selection and design of the main map projection in the atlas is worked out. The research results of this paper provide a theoretical and technical reference for the basic design of atlas and improve the level of design. It is of great significance and value to improve and develop the theory and method of map projection.
【学位授予单位】：解放军信息工程大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：P282

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