| 椭球面上图斑面积计算方法的改进 |
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| 引用本文： | 史守正,石忆邵,赵伟.椭球面上图斑面积计算方法的改进[J].武汉大学学报(信息科学版),2018,43(5):779-785. |
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| 作者姓名： | 史守正 石忆邵 赵伟 |
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| 作者单位： | 1.同济大学测绘与地理信息学院, 上海, 200092 |
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| 基金项目： | 上海市规划和国土资源管理局新一轮土地利用总体规划重大研究专项2015(D)-002(F)-11 |
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| 摘 要： | 由于高斯投影存在面积变形，当面积精度要求较高时，需要在地球椭球面上进行图斑面积计算。通过对图斑椭球面积计算方法进行研究，改进了图斑面积的定积分近似计算方法，并利用改进的矩形法进行了实证分析。研究结果显示，与常规矩形法相比，改进的矩形法具有较高的计算效率，可以替代图斑椭球面积计算方法中的中间层算法和底层算法，简化图斑椭球面积的计算过程。借助C#语言的十进制数类型变量，利用改进算法获得了椭球面梯形面积的高精度可靠值。利用改进算法可以计算任意一大梯形图块的椭球面积，进而方便地计算任意图斑的椭球面积。
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| 关 键 词： | 地球椭球面 图斑 面积公式 椭球面梯形 |
| 收稿时间： | 2017-03-29 |
Improvement of Area Calculation Method of Patch on Earth Ellipsoid |
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| Affiliation: | 1.College of Surveying and Geo-Informatics, Tongji University, Shanghai 200092, China2.College of Environmental Science and Engineering, Suzhou University of Science and Technology, Suzhou 215009, China |
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| Abstract: | Because of the area distortion of Gauss projection, it is necessary to calculate the map patch area on Earth ellipsoid with high area precision in some applications.In this paper, the area calculation method of ellipsoid patch is studied and improved, and the improved algorithm is analyzed empirically. The results show that the approximating definite integrals by the improved Rectangular Rule has higher computational efficiency than by the conventional rectangular rule. The improved rectangle method can replace the middle layer algorithm and the bottom algorithm in ellipsoid patch area calculation method and simplify the calculating process. With the help of decimal number type variables in C # language, a high accuracy value of the ellipsoid trapezoidal area is obtained using the improved algorithm. The ellipsoid area of large trapezoidal block can be obtained, and the ellipsoid area of arbitrary polygon can be easily solved also by the improved algorithm. |
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