| 利用“L-R”剖分及三角形聚合的近似等面积菱形格网建模 |
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| 引用本文： | 苑争一,赵学胜,赵静.利用“L-R”剖分及三角形聚合的近似等面积菱形格网建模[J].测绘通报,2018,0(1):107-111. |
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| 作者姓名： | 苑争一 赵学胜 赵静 |
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| 作者单位： | 1. 中国地震台网中心, 北京 100045;
2. 中国矿业大学(北京)地球科学与测绘工程学院, 北京 100083 |
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| 基金项目： | 国家自然科学基金面上项目,中国地震台网中心青年基金项目 |
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| 摘 要： | 球面菱形格网因其几何结构简单、方向一致、径向对称等特性,在空间操作和数据集成方面有着广泛的应用。本文基于“纬线环法”构建了球面四元三角剖分模型,分析了该方法带来的格网单元面积变形及其位置分布,发现该模型的三角单元面积变形具有“锯齿状”分布特征,即相邻的上下两个格网单元总是一大一小交替分布,而且变形方向一致。据此通过合并上下两个相邻三角形格网单元,构建了一种近似等面积的菱形剖分模型。结果表明,相比较于其他球面菱形格网生成方法,该方法计算简单、格网单元方向一致（长轴沿南北向分布）;同时,格网单元的面积变形更小、分布更加均匀。
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| 关 键 词： | 全球离散格网 等积菱形格网 "纬线环法"剖分 格网几何变形 |
| 收稿时间： | 2017-04-10 |
| 修稿时间： | 2017-06-05 |
An Approximate Equal-area Diamond Mesh Model Based on Latitude-ring Method and Triangle Aggregation |
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| YUAN Zhengyi,ZHAO Xuesheng,ZHAO Jing.An Approximate Equal-area Diamond Mesh Model Based on Latitude-ring Method and Triangle Aggregation[J].Bulletin of Surveying and Mapping,2018,0(1):107-111. |
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| Authors: | YUAN Zhengyi ZHAO Xuesheng ZHAO Jing |
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| Institution: | 1. China Earthquake Network Center, Beijing 100045, China;
2. College of Geoscience and Surveying Engineering, China University of Mining & Technology, Beijing 100083, China |
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| Abstract: | The spherical diamond grid has been widely used in space operation and data integration, because of its geometrical features, such as the simple structure, the orientation consistency, and the radial symmetry.In this paper, a QTM subdivision model based on the latitude-ring ( L-R) method is constructed.The grid area deformation and its location distributions are also analyzed.Then we find that the grid area deformation of this model has the same direction and the"zigzag" distribution characteristics, which means that the adjacent two grid cells are alternatively distributed, one large and one small.So we obtain an approximate equal-area diamond mesh model by merging the two adjacent grid cells up and down.The results show that, compared to other methods of generation spherical diamond mesh, this one is simple in calculation ( the long axis distributes along the north and south direction) .At the same time, the grid cell generated by this method has a smaller area deformation and more uniform distribution. |
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| Keywords: | discrete global grid system equal-area diamond mesh model latitude-ring method subdivision geometry deformation of grid |
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