發(fā)布時間：2018-05-27 12:11

  本文選題：數(shù)學基礎(chǔ)設(shè)計 + 地圖集�。� 參考：《解放軍信息工程大學》2013年碩士論文

【摘要】：綜合性地圖集數(shù)學基礎(chǔ)設(shè)計是圖集總體設(shè)計的重要環(huán)節(jié)，是圖集科學性和系統(tǒng)性的重要保證。隨著新技術(shù)的發(fā)展和需求的提升，國內(nèi)外廣泛開展了地圖集的設(shè)計與編制，取得了較好的成果，，并對數(shù)學基礎(chǔ)提出了更高的要求。本文以投影選擇與設(shè)計為重點，圍繞綜合性地圖集的數(shù)學基礎(chǔ)設(shè)計開展了研究與實踐。主要內(nèi)容包括： 1．從綜合性地圖集的內(nèi)涵及特點出發(fā)，論述了地圖集數(shù)學基礎(chǔ)設(shè)計的主要內(nèi)容，分析了地圖集對數(shù)學基礎(chǔ)科學性、可比性和系統(tǒng)性的基本要求，闡述了地圖集投影選擇與設(shè)計應遵循的原則。 2．較為系統(tǒng)的分析和總結(jié)了國內(nèi)外已出版的綜合性地圖集中世界全圖、洲圖與洋圖、國家與區(qū)域圖的常用投影，分析了地圖集投影選擇與設(shè)計的發(fā)展趨勢，探討了地圖集投影選擇與設(shè)計中值得關(guān)注的問題。 3．研究了地圖集投影選擇與設(shè)計中若干問題。采用基于樣本統(tǒng)計的投影變形分析方法，為大范圍制圖區(qū)域投影變形的評價提供了科學的依據(jù)；探求了非標準橢圓等面積偽圓柱投影，改善了世界全圖的投影變形和經(jīng)緯網(wǎng)的視覺效果；建立了具有概括意義的溫克爾投影公式，改良了該投影編制世界全圖時投影總變形分布的均衡程度；研究了適用于增強洲圖經(jīng)緯網(wǎng)的球形感和立體感的反外心透視方位投影；擬合并擴展了等差分緯線多圓錐投影的正解變換公式，提高了采用該投影編制世界全圖的精度及其與新編圖頁面的適應性。 4．建立了地圖集數(shù)學基礎(chǔ)設(shè)計實驗系統(tǒng)。將本文圍繞綜合性地圖集數(shù)學基礎(chǔ)設(shè)計的研究成果應用于新版《軍官地圖集》的數(shù)學基礎(chǔ)設(shè)計，擬定了圖集中主要圖幅投影選擇與設(shè)計的方案。 本文的研究成果為開展地圖集數(shù)學基礎(chǔ)設(shè)計和提高設(shè)計水平提供了理論參考與技術(shù)借鑒，對完善和發(fā)展地圖投影的理論與方法具有較為重要的意義和價值。
[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.
【學位授予單位】：解放軍信息工程大學
【學位級別】：碩士
【學位授予年份】：2013
【分類號】：P282

【參考文獻】

相關(guān)期刊論文 前2條

1 孟嘉春;論省區(qū)地圖集的地圖投影[J];測量制圖學報;1959年04期

2 徐京華;地圖集投影系統(tǒng)方法研究[J];四川測繪;1997年01期

本文編號：1942005