有关等差分纬线多圆锥投影的正反解变换新算法  

The Forward and Reverse Solution to Polyconic Projection of Equivalent Different Latitude Parallel

作　　者：王诗阳[1] 王雪[1] 

机构地区：[1]辽宁师范大学城市与环境学院,辽宁大连116029

出　　处：《测绘与空间地理信息》2013年第9期217-221,共5页Geomatics & Spatial Information Technology

摘　　要：选用国家测绘地理信息局官方网站上的等差分纬线多圆锥投影世界地图为研究数据,特别考虑了极点在该投影上的弧长为赤道投影长度的一半的重要性质,采用选取参考点、曲线拟合等方法得出了等差分纬线多圆锥投影的正解变换公式,还采用二分法实现了该投影的反解变换。用户可以在相应的GIS软件中实现各类专题地图的输出和出版时使用这一公式,这一公式还可以与已有的投影类型一道作为用户调用投影的基本代码模板,解决了在以前出版的此类投影的世界地图中各经线和纬线不能完全对称的问题。当然这一公式并没有考虑面积变形和角度变形,因此使用此投影公式制成的成图的比例尺也不准确,这一缺陷有待于进一步深入研究。Based on the world map of equivalent different latitude parallel polyconic projection posted on the net by State Bureau of Surveying and Mapping, especially considering the important property that the projection length of the geographic poles is half the length of the equatorial projection, the reference points selecting, curve fitting, etc are utilized. This essay finally suggests the forward solution to this projection. This essay also utilizes the bisection method to carry out the reverse solution of this projection. Users are a- ble to execute the map making and publishing with this projection method, which is also used as the code template users invoke, as well as many renowned projection types. In addition, this projection method also solves the problem of incomplete symmetry. This pro- jection method, however, does not take area and angle variation seriously, causing the inaccuracy in terms of using legends, calling for further research.

关 键 词：地图投影 正反解变换 多圆锥投影 等差分纬线 二分法 

分 类 号：P282[天文地球—地图制图学与地理信息工程]