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减小长度投影变形的一种地图投影新方法
引用本文:施一民,朱紫阳,陈月梅.减小长度投影变形的一种地图投影新方法[J].同济大学学报(自然科学版),2007,35(3):418-421.
作者姓名:施一民  朱紫阳  陈月梅
作者单位:1. 同济大学,测量与国土信息工程系,上海,200092;现代工程测量国家测绘局重点实验室,上海,200092
2. 广东省国土资源厅,测绘院,广东,广州,510500
3. 同济大学,测量与国土信息工程系,上海,200092
摘    要:以规则的经纬网格为单元,以每4个网格角点所构成的平面来切割并逼近椭球面,椭球面上同纬度的点子均以椭球短轴上的相应点为投影中心投影到各切割平面,采用这种类似楔形的投影方式,将减小长度投影变形的最大值,并使相邻图幅之间保持空间连续.突破了传统地图投影的禁锢,基于新大地坐标系对这种新的地图投影方法进行理论研究和数据验证.

关 键 词:地图投影  投影变形  新大地坐标系  楔形投影  切割平面
文章编号:0253-374X(2007)03-0418-04
修稿时间:2005-07-13

A New Method of Map Projection to Decrease Projection Distortion
SHI Yimin,ZHU Ziyang,CHEN Yuemei.A New Method of Map Projection to Decrease Projection Distortion[J].Journal of Tongji University(Natural Science),2007,35(3):418-421.
Authors:SHI Yimin  ZHU Ziyang  CHEN Yuemei
Institution:1. Department of Surveying and Geoinformaties,Tongji University, Shanghai 200092,China; 2. Key Laboratory of Modern Engineering Surveying,State Bureau of Surveying and Mapping, Shanghai 200092,China; 3. Surveying and Mapping Institute,Lands and Resource Department of Guangdong Province, Guangzhou 510500, China
Abstract:This paper presents a new map projection based on the new form of geodetic coordinate system In mathematics, an ellipsoidal surface can be approximated by a series of continuous secant facets, each of which passes through four comer points of corresponding grid formed by two geodetic parallels and two meridians and is taken as mapping plane. Based on this idea, a sphenoid projection mode which takes the points on the minor axis of ellipsoid as its projection centers is brought forward. Herein the points on ellipsoid and their relevant projection centers have the same latitudes. The variations of scale can be smaller than those in a usual map projection, but the new projection mode can still keep the continuity between two adjacent map sheets. The theoretical research and data testing for this method are carried out in this paper.
Keywords:map projection  distortion of map projection  new form of geodetic coordinate system  sphenoid projection  secant facet
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