兰勃特投影与高斯投影的正解析变换研究  

Research of positive analytical transformation between Gauss projection and Lambert projection

作　　者：张健雄[1] 李亚磊[1] 

机构地区：[1]河南理工大学测绘与国土信息学院,河南焦作454003

出　　处：《河南城建学院学报》2016年第2期74-79,共6页Journal of Henan University of Urban Construction

摘　　要：兰勃特投影和高斯投影是我国常用的两种等角投影,两者之间的坐标转换是实际应用中常见的基本问题。文章针对目前使用的反解析变换法计算解决复杂及正解析变换法精度偏低的问题,采用Mathematica数学软件对正解析变换公式重新推导,得出坐标变换公式,经验证,在4°(纬差)6°(经差)的转换区域精度达到1mm,能够满足测量和制图精度要求。Gauss projection and Lambert projection are two equal-angle projections frequently used in China.The coordinate conversion between them is a basic problem in application. To the questions of the complexity of negative analytical transformation method and low precision of positive analytical transformation,we derivate the formula using software Mathematica and find that when the area is limited in four latitude difference and six longitude difference the conversion accuracy can up to 1 mm,which can meet the requirements of surveying and mapping precision.

关 键 词：高斯投影 兰勃特投影 解析变换法 转换精度 

分 类 号：P282.2[天文地球—地图制图学与地理信息工程]