| 利用数值投影变换构建全球六边形离散格网 |
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| 引用本文： | 童晓冲,贵进,汪滢.利用数值投影变换构建全球六边形离散格网[J].测绘学报,2013,42(2):268-276. |
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| 作者姓名： | 童晓冲 贵进 汪滢 |
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| 作者单位： | 1. 北京师范大学;2. 信息工程大学测绘学院; |
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| 基金项目： | 国家自然科学基金，国家自然科学基金重点项目，国家863计划 |
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| 摘 要： | 本文针对全球离散格网构建过程中从平面格网到球面格网的关键步骤进行讨论，提出了一种新型的评价球面离散格网几何属性最优化的目标函数，使用遗传算法优化，得到了球面上有限层次内最优化条件下的直接剖分格网。利用有限层次内最优化格网提供的控制点数据，结合数值投影变换理论，成功地构建了几何属性更加均匀的全球六边形离散格网系统。实验表明，相对于现有Snyder等积投影建立的全球格网，在格网单元的均匀度上更优；在运算效率方面，速度大约是Snyder投影的2.5-3倍。
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| 关 键 词： | 全球离散格网系统 六边形 数值投影变换 遗传算法 |
| 收稿时间： | 2011-08-16 |
| 修稿时间： | 2011-12-29 |
The Construction of Hexagonal Discrete Global Grid by Numerical Projection Transformation |
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| TONG Xiaochong,BEN Jin,WANG Ying.The Construction of Hexagonal Discrete Global Grid by Numerical Projection Transformation[J].Acta Geodaetica et Cartographica Sinica,2013,42(2):268-276. |
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| Authors: | TONG Xiaochong BEN Jin WANG Ying |
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| Institution: | 13 1.Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 450052,China;2.State Key Laboratory of Earth Surface Processes and Resource Ecology,Beijing Normal University,Beijing 100875,China |
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| Abstract: | The paper discussed the key step of the process of generating Discrete Global Grid System, which is correspondence between planes grids and spherical grids. In the paper, an optimized target function was proposed to evaluating geometrical properties of discrete global grids. Optimizing by genetic algorithm (GA), direct spherical partition grids, which met optimization requirements under limited layers, were obtained. Applying control point data of the grids and combing theories of numerical projection, global hexagonal discrete grid system, with more even geometrical properties, was constructed. Experimental results proved that, compared with current Snyder Equal-Area polyhedral projection, the grid units obtained by our method were more even and had 2.5 to 3 times higher operation efficiency. |
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| Keywords: | discrete global grid system hexagon numerical projection transformation genetic algorithm |
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