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An improved HASM method for dealing with large spatial data sets

查看全文 作  者:Na [1,2,3]ZHAO;Tianxiang [1,2,3]YUE;Chuanfa [4]CHEN;Miaomiao [1,3]ZHAO;Zhengping [1]DU 高影响力作者 机构地区:[1]State Key Laboratory of Resources and Environment Information System, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China;[2]Jiangsu Center for Collaborative Innovation in Geographic Information Resource Development and Application, Nanjing 210023, China;[3]College of Resources and Environment, University of Chinese Academy of Sciences, Beijing 100101, China;[4]Geomatics College, Shandong University of Science and Technology, Qingdao 266510, China高影响力机构 出  处:《Science China Earth Sciences》索引2018年第61卷第8期,共10页高影响力期刊 基  金:supported by the National Natural Science Foundation of China (Grant Nos. 41541010, 41701456, 41421001, 41590840 & 91425304);the Key Programs of the Chinese Academy of Sciences (Grant No. QYZDY-SSW-DQC007);the Cultivate Project of Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences (Grant No. TSYJS03) 摘  要:Surface modeling with very large data sets is challenging. An efficient method for modeling massive data sets using the high accuracy surface modeling method(HASM) is proposed, and HASM_Big is developed to handle very large data sets. A large data set is defined here as a large spatial domain with high resolution leading to a linear equation with matrix dimensions of hundreds of thousands. An augmented system approach is employed to solve the equality-constrained least squares problem(LSE) produced in HASM_Big, and a block row action method is applied to solve the corresponding very large matrix equations.A matrix partitioning method is used to avoid information redundancy among each block and thereby accelerate the model.Experiments including numerical tests and real-world applications are used to compare the performances of HASM_Big with its previous version, HASM. Results show that the memory storage and computing speed of HASM_Big are better than those of HASM. It is found that the computational cost of HASM_Big is linearly scalable, even with massive data sets. In conclusion,HASM_Big provides a powerful tool for surface modeling, especially when there are millions or more computing grid cells. 关 键 词:空间数据 数据集合 表面建模 线性方程 高分辨率 扩充系统 数字测试 应用程序
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