一种近似等积球面菱形格网的构建方法
|
摘要
格网等积性是提高空间统计分析精度的有效手段。以正八面体和Snyder投影为基础,提出了一种近似等积菱形格网的构建方法,并分析了格网的面积误差规律及分布特征。分析结果表明,绝大部分菱形格网的面积误差率均在-0.25%~0.25%之间;当剖分层次为6时,该区间内格网数目占总格网数的比率为99.99%;仅有3个格网的面积误差率较大,它们均处于初始剖分面中心点附近,且呈对称的空间分布特征。
The Equal-area characteristics of the global discrete gird have contributed to the improvement of spatial analysis precision.In this paper,a method for constructing approximate equal-area diamond girds is proposed based on the octahedron using the Snyder projection.Area deformation rules for diamonds are analyzed and the spatial distribution of diamond grids with different area deformations is presented.The analysis results indicate:1.area deformation ratios of most cells in diamond grids are between-0.25%and 0.25%;when subdivision level is equal to six,while the area deformation ratios of 99% of diamond grids are between-0.25%and 0.25%;2.three girds with the maximum area deformation are near to center point of subdivision surface of the octahedron,while the spatial distribution of grids with different area deformations is symmetrical.
The Equal-area characteristics of the global discrete gird have contributed to the improvement of spatial analysis precision.In this paper,a method for constructing approximate equal-area diamond girds is proposed based on the octahedron using the Snyder projection.Area deformation rules for diamonds are analyzed and the spatial distribution of diamond grids with different area deformations is presented.The analysis results indicate:1.area deformation ratios of most cells in diamond grids are between-0.25%and 0.25%;when subdivision level is equal to six,while the area deformation ratios of 99% of diamond grids are between-0.25%and 0.25%;2.three girds with the maximum area deformation are near to center point of subdivision surface of the octahedron,while the spatial distribution of grids with different area deformations is symmetrical.
引文
[1]Daniela R,Gerlind P.Uniform Spherical Grids via Equal Area Projection from the Cube to the Sphere[J].Journal of Computational and Applied Mathematics,2011,236:1 033-1 041
[2]Sahr K,White D,Kimerling A.Geodesic Discrete Global Grid Systems[J].Cartography and Geographic Information Science,2003,30(2):121-134
[3]Sahr K.Location Coding on Icosahedra Aperture 3Hexagon Discrete Global Grids[J].Computer,Environment and Urban Systems,2008,32:174-187
[4]Bai Jianjun,Zhao Xuesheng,Chen Jun.Indexing of Discrete Global Grids Using Linear Quadtree[J].Geomatics and Information Science of Wuhan University,2005,30(9):805-808(白建军,赵学胜,陈军.基于线性四叉树的全球离散格网索引[J].武汉大学学报·信息科学版,2005,30(9):805-808)
[5]Bai Jianjun.Location Coding and Indexing Aperture4 Hexagonal Discrete Global Grid Based on Octahedron[J].Journal of Remote Sensing,2011,15(6):1 125-1 137(白建军.基于正八面体的四孔六边形球面格网编码及索引[J].遥感学报,2011,15(6):1 125-1 137)
[6]Bai Jianjun,Yan Chaode.Multi-resolution Compression and Storage of Terrain Data Based on the Binary Tree[J].Journal of Northwest University(Natural Science Edition),2010,40(6):1 088-1 092(白建军,闫超德.基于二叉树的多分辨率地形数据压缩存储[J].西北大学学报(自然科学版),2010,40(6):1 088-1 092)
[7]Zhao Xuesheng,Bai Jianjun.Hierarchical Model of Global Discrete Grids Based on Diamonds[J].Journal of China University of Mining&Technology,2007,36(3):379-381(赵学胜,白建军.基于菱形块的全球离散格网层次建模[J].中国矿业大学学报,2007,36(3):379-381)
[8]Bai Jianjun,Zhao Xuesheng,Chen Jun.Digital Elevation Modeling Based on Hierarchical Subdivision of the Triangular Meshes on Ellipsoidal Surface[J].Geomatics and Information Science of Wuhan University,2005,30(5):383-387(白建军,赵学胜,陈军.基于椭球面三角格网的数字高程模型[J].武汉大学学报·信息科学版,2005,30(5):383-387)
[9]Hou Miaole,Xing Huaqiao,Zhao Xuesheng,et al.Computing of Complicated Topological Relation in Spherical Surface Quaternary Triangular Mesh[J].Geomatics and Information Science of Wuhan University,2012,37(4):468-471(侯妙乐,邢华桥,赵学胜,等.球面四元三角网的复杂拓扑关系计算[J].武汉大学学报·信息科学版,2012,37(4):468-471)
[10]Hou Miaole,Zhu Guang,Wang Qianwei,et al.Computing Euler Number of Global Discrete Grids Based on Diamond[J].Science of Surveying and Mapping,2009,34(6):81-83(侯妙乐,朱光,王前卫,等.基于菱形块的全球离散格网欧拉数计算[J].测绘科学,2009,34(6):81-83)
[11]Hou Miaole,Zhao Xuesheng,Chen Jun.Computation of Three Topological Numbers on Spherical Quaternary Triangular Mesh[J].Geomatics and Information Science of Wuhan University,2008,33(1):60-63,104(侯妙乐,赵学胜,陈军.球面四元三角网的三拓扑数计算[J].武汉大学学报·信息科学版,2008,33(1):60-63,104)
[12]Hou Miaole,Zhao Xuesheng,Chen Jun.Computation of Local Topologic Invariant in Spherical Surface Quaternary Triangular Mesh and Its Application[J].Geomatics and Information Science of Wuhan University,2010,35(12):1 504-1 507(侯妙乐,赵学胜,陈军.球面四元三角网局部拓扑不变量的计算及应用[J].武汉大学学报·信息科学版,2010,35(12):1 504-1 507)
[13]Hou Miaole,Jiang Xiaoyi,Zhao Xuesheng,et al.Analysis and Simulation Sea Level Rise Based on QTM[J].Geography and Geo-Information Science,2012,28(1):34-38(侯妙乐,姜晓轶,赵学胜,等.基于QTM的海平面上升分析与模拟[J].地理与地理信息科学,2012,28(1):34-38)
[14]Wang Jinxin,Lu Fengnian,Guo Tongde,et al.Global 3D-Grids Based on Great Circle Arc QTM Sphere Octree and Unequal Octree[J].Geomatics and Information Science of Wuhan University,2013,38(3):344-348(王金鑫,禄丰年,郭同德,等.球面大圆弧QTM八叉树剖分[J].武汉大学学报·信息科学版,2013,38(3):344-348)
[15]Bai Jianjun,Wang Lei,Bai Jiangtao,et al.An Equal Area Grid Model of WGS-84Ellipsoidal Facet Based on EQG[J].Bulletin of Surveying and Mapping,2012,11:15-18(白建军,王磊,白江涛,等.基于EQG的WGS-84椭球面等面积格网剖分模型[J].测绘通报,2012,11:15-18)
[16]Song L,Kimerling A J,Sahr K.Developing an Equal Area Global Grid by Small Circle Subdivisio[C].Discrete Global Grids,National Center for Geographic Information&Analysis,Santa Barbara,CA,USA,2002
[17]Seong J C.Implementation of an Equal-area Gridding Method for Global-scale Image Archiving[J].Photogrammetric Engineering&Remote Sensing,2003,71(5):623-627
[18]Snyder J P.An Equal-area Map Projection for Polyhedral Globes[J].Cartographica,1992,29(1):10-21
[19]Ben Jin,Tong Xiaochong,Zhang Yongsheng,et al.Snyder Equal-area Map Projection for Polyhedral Globes[J].Geomatics and Information Science of Wuhan University,2006,31(10):900-903)(贲进,童晓冲,张永生,等.对施奈德等积多面体投影的研究[J].武汉大学学报·信息科学版,2006,31(10):900-903)
[2]Sahr K,White D,Kimerling A.Geodesic Discrete Global Grid Systems[J].Cartography and Geographic Information Science,2003,30(2):121-134
[3]Sahr K.Location Coding on Icosahedra Aperture 3Hexagon Discrete Global Grids[J].Computer,Environment and Urban Systems,2008,32:174-187
[4]Bai Jianjun,Zhao Xuesheng,Chen Jun.Indexing of Discrete Global Grids Using Linear Quadtree[J].Geomatics and Information Science of Wuhan University,2005,30(9):805-808(白建军,赵学胜,陈军.基于线性四叉树的全球离散格网索引[J].武汉大学学报·信息科学版,2005,30(9):805-808)
[5]Bai Jianjun.Location Coding and Indexing Aperture4 Hexagonal Discrete Global Grid Based on Octahedron[J].Journal of Remote Sensing,2011,15(6):1 125-1 137(白建军.基于正八面体的四孔六边形球面格网编码及索引[J].遥感学报,2011,15(6):1 125-1 137)
[6]Bai Jianjun,Yan Chaode.Multi-resolution Compression and Storage of Terrain Data Based on the Binary Tree[J].Journal of Northwest University(Natural Science Edition),2010,40(6):1 088-1 092(白建军,闫超德.基于二叉树的多分辨率地形数据压缩存储[J].西北大学学报(自然科学版),2010,40(6):1 088-1 092)
[7]Zhao Xuesheng,Bai Jianjun.Hierarchical Model of Global Discrete Grids Based on Diamonds[J].Journal of China University of Mining&Technology,2007,36(3):379-381(赵学胜,白建军.基于菱形块的全球离散格网层次建模[J].中国矿业大学学报,2007,36(3):379-381)
[8]Bai Jianjun,Zhao Xuesheng,Chen Jun.Digital Elevation Modeling Based on Hierarchical Subdivision of the Triangular Meshes on Ellipsoidal Surface[J].Geomatics and Information Science of Wuhan University,2005,30(5):383-387(白建军,赵学胜,陈军.基于椭球面三角格网的数字高程模型[J].武汉大学学报·信息科学版,2005,30(5):383-387)
[9]Hou Miaole,Xing Huaqiao,Zhao Xuesheng,et al.Computing of Complicated Topological Relation in Spherical Surface Quaternary Triangular Mesh[J].Geomatics and Information Science of Wuhan University,2012,37(4):468-471(侯妙乐,邢华桥,赵学胜,等.球面四元三角网的复杂拓扑关系计算[J].武汉大学学报·信息科学版,2012,37(4):468-471)
[10]Hou Miaole,Zhu Guang,Wang Qianwei,et al.Computing Euler Number of Global Discrete Grids Based on Diamond[J].Science of Surveying and Mapping,2009,34(6):81-83(侯妙乐,朱光,王前卫,等.基于菱形块的全球离散格网欧拉数计算[J].测绘科学,2009,34(6):81-83)
[11]Hou Miaole,Zhao Xuesheng,Chen Jun.Computation of Three Topological Numbers on Spherical Quaternary Triangular Mesh[J].Geomatics and Information Science of Wuhan University,2008,33(1):60-63,104(侯妙乐,赵学胜,陈军.球面四元三角网的三拓扑数计算[J].武汉大学学报·信息科学版,2008,33(1):60-63,104)
[12]Hou Miaole,Zhao Xuesheng,Chen Jun.Computation of Local Topologic Invariant in Spherical Surface Quaternary Triangular Mesh and Its Application[J].Geomatics and Information Science of Wuhan University,2010,35(12):1 504-1 507(侯妙乐,赵学胜,陈军.球面四元三角网局部拓扑不变量的计算及应用[J].武汉大学学报·信息科学版,2010,35(12):1 504-1 507)
[13]Hou Miaole,Jiang Xiaoyi,Zhao Xuesheng,et al.Analysis and Simulation Sea Level Rise Based on QTM[J].Geography and Geo-Information Science,2012,28(1):34-38(侯妙乐,姜晓轶,赵学胜,等.基于QTM的海平面上升分析与模拟[J].地理与地理信息科学,2012,28(1):34-38)
[14]Wang Jinxin,Lu Fengnian,Guo Tongde,et al.Global 3D-Grids Based on Great Circle Arc QTM Sphere Octree and Unequal Octree[J].Geomatics and Information Science of Wuhan University,2013,38(3):344-348(王金鑫,禄丰年,郭同德,等.球面大圆弧QTM八叉树剖分[J].武汉大学学报·信息科学版,2013,38(3):344-348)
[15]Bai Jianjun,Wang Lei,Bai Jiangtao,et al.An Equal Area Grid Model of WGS-84Ellipsoidal Facet Based on EQG[J].Bulletin of Surveying and Mapping,2012,11:15-18(白建军,王磊,白江涛,等.基于EQG的WGS-84椭球面等面积格网剖分模型[J].测绘通报,2012,11:15-18)
[16]Song L,Kimerling A J,Sahr K.Developing an Equal Area Global Grid by Small Circle Subdivisio[C].Discrete Global Grids,National Center for Geographic Information&Analysis,Santa Barbara,CA,USA,2002
[17]Seong J C.Implementation of an Equal-area Gridding Method for Global-scale Image Archiving[J].Photogrammetric Engineering&Remote Sensing,2003,71(5):623-627
[18]Snyder J P.An Equal-area Map Projection for Polyhedral Globes[J].Cartographica,1992,29(1):10-21
[19]Ben Jin,Tong Xiaochong,Zhang Yongsheng,et al.Snyder Equal-area Map Projection for Polyhedral Globes[J].Geomatics and Information Science of Wuhan University,2006,31(10):900-903)(贲进,童晓冲,张永生,等.对施奈德等积多面体投影的研究[J].武汉大学学报·信息科学版,2006,31(10):900-903)
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |