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计算机系统应用英文版:2024,33(1):213-218
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基于Delaunay三角网的克里金并行算法优化
(中国石油大学(华东) 计算科学与技术学院, 青岛 266580)
Optimization of Kriging Parallel Algorithm Based on Delaunay Triangulation Network
(College of Computer Science and Technology, China University of Petroleum, Qingdao 266580, China)
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Received:June 23, 2023    Revised:August 08, 2023
中文摘要: 当采样点数据量较大时, 可以采用Delaunay三角剖分建立三角网来使用局部邻域采样点进行克里金插值. 但是该算法需要对每个插值点拟合半变异函数, 插值点规模大时造成巨大开销. 为此, 本文提出了一种以三角形为单位拟合半变异函数的克里金插值方法, 采用CPU-GPU负载均衡将部分计算优化, 充分考虑不均匀样本对克里金插值效果的影响. 结果表明, 本文算法能够保证不均匀样本集的插值效果, 提升了计算性能且能够保证较高的精度.
Abstract:Under a large data amount of sampling points, Delaunay triangulation can be adopted to establish a triangulation network and then employ local neighborhood sampling points for Kriging interpolation. However, this algorithm requires fitting a semi-variogram to each interpolation point, which incurs significant overhead in the condition of a large interpolation point scale. Therefore, this study proposes a Kriging interpolation method that fits the semi-variogram on a triangular basis. Additionally, it utilizes CPU-GPU load balancing to optimize some calculations and fully considers the influence of non-uniform samples on the Kriging interpolation effect. The results show that the proposed algorithm can ensure the interpolation effect of non-uniform sample sets, improve computational performance, and ensure high accuracy.
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陈国军,李子祥,付云鹏,李震烁.基于Delaunay三角网的克里金并行算法优化.计算机系统应用,2024,33(1):213-218
CHEN Guo-Jun,LI Zi-Xiang,FU Yun-Peng,LI Zhen-Shuo.Optimization of Kriging Parallel Algorithm Based on Delaunay Triangulation Network.COMPUTER SYSTEMS APPLICATIONS,2024,33(1):213-218