基于CGCS2000的高斯投影面积变形研究

发布时间：2018-02-28 03:24

本文关键词： CGCS2000 高斯投影面积变形中央子午线投影面高程　出处：《贵州师范大学》2016年硕士论文　论文类型：学位论文

【摘要】：高斯-克吕格投影简称高斯投影,是等角横轴切椭圆柱投影。高斯投影因其投影精度高,变形小,计算简便得到了许多国家的采用和推广。我国现行的1954年北京坐标系、1980西安坐标系、2000国家大地坐标系及其他的各城市独立坐标系都是采用高斯投影。高斯投影存在长度和面积的变形,且变形不可避免。目前,高斯投影长度变形的研究已日趋成熟,而高斯投影面积变形的研究还需进一步深入。研究基于CGCS2000影响高斯投影面积变形因素及其规律,通过其变形规律采取控制面积变形措施,可以为以后有关面积变形的地理信息工作提供参考。文中介绍了地球形状、地图投影和高斯投影的一般理论和方法,通过计算基于CGCS2000参考椭球体,1:10000比例尺参考椭球面梯形图幅面积和高斯投影面梯形图幅面积,并计算两种面积的差值和比值来研究面积变形。讨论了影响高斯投影面积变形的因素(纬度、偏离中央子午线距离、投影面高程、偏离中央子午线距离与投影面高程综合)及其变形规律,同时分析四种减小高斯投影面积变形的方法,并结合全国地理国情普查镇远县项目和贵州蒙江流域梯级开发项目应用四种方法计算其变形量,并对其结果进行比较和分析。
[Abstract]:The Gauss-Krueger projection is called Gao Si projection, which is an elliptic column projection with isobaric transverse axis. Due to its high accuracy and small deformation, the Gao Si projection, The present Beijing coordinate system of 1954 in China and the national geodetic coordinate system of Xi'an and Xi'an in 2000 and other independent coordinate systems in cities are all based on Gao Si projection. Gao Si projection. Deformation in length and area, And the deformation is inevitable. At present, the study of Gao Si projection length deformation has matured day by day, and the study of the area deformation of Gao Si projection area needs to be further studied. Based on CGCS2000, the factors and its regularity of the projected area deformation are studied. Taking measures to control area deformation through its deformation law can provide a reference for future geographic information work on area deformation. The general theory and method of earth shape, map projection and Gao Si projection are introduced in this paper. The trapezoidal map area of the reference ellipsoid and the trapezoidal map area of the projection surface of Gao Si are calculated on the basis of the reference ellipsoid of CGCS2000. The difference and ratio of two kinds of areas are calculated to study area deformation. The factors influencing Gao Si's projection area deformation (latitude, distance from central meridian, projection plane elevation) are discussed. The distance from the central meridian and the height of the projection plane are synthesized) and their deformation laws are analyzed. At the same time, four methods to reduce the projection area deformation of Gao Si are analyzed. Four methods are applied to calculate the deformation of Zhenyuan County Project and the Mengjiang River Basin Cascade Development Project. The results are compared and analyzed.
【学位授予单位】：贵州师范大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：P282.1

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