利用数值投影变换构建全球六边形离散格网

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。试验表明,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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Published in测绘学报 Vol. 42; no. 2; pp. 268 - 276
Main Author 童晓冲 贲进 汪滢
Format Journal Article
LanguageChinese
Published 北京师范大学地表过程与资源生态国家重点实验室,北京100875%信息工程大学地理空间信息学院,河南郑州,450052 2013
信息工程大学地理空间信息学院,河南郑州450052
Subjects
全球离散格网系统
六边形
数值投影变换
遗传算法
全球离散格网系统
遗传算法
六边形
数值投影变换
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ISSN1001-1595

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Summary: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。试验表明,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。
Bibliography:11-2089/P
The key step of the process of generating Discrete Global Grid System was discussed,which is correspondence between planes grids and spherical grids.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 combining 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.
discrete global grid system; hexagon; numerical projection transformation; genetic algorithm
TONG Xiaochong1,2,BEN Jin1,WANG Ying13 1.Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 450052,China;2.State Key Labor
ISSN:1001-1595