多种二维插值方法在FVCOM非结构三角网格上的应用

IF 3.4 2区 数学 Q1 MATHEMATICS, APPLIED
Zongli Ruan , Guobing Qian , Yiwei Wang , Jia Xiao
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引用次数: 0

摘要

一般来说,海洋水深数据集是在一个统一的矩形网格上定义的,而FVCOM采用了一个非结构化的三角形网格。因此,有必要将矩形网格节点上的数据插值到三角形网格节点上。最近邻法、双线性法和逆距离加权法(IDW)是三种常用的二维插值方法,而逆距离加权回归(IDWR)是一种较新的插值方法。在本研究中,应用这些方法将霍尔木兹海峡和北印度洋的水深数据插值到FVCOM三角网格上。实验结果表明,该方法对水深数据的插值误差很小。此外,还将这些方法与MATLAB系统提供的插值技术进行了比较。对比分析表明,与其他三种方法相比,双线性方法可以获得更好的插值效果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Application of multiple two-dimensional interpolation methods to bathymetric data on the FVCOM unstructured triangular grid
In general, the ocean bathymetric dataset is defined on a uniform rectangular grid, whereas FVCOM employs an unstructured triangular grid. Consequently, it is necessary to interpolate the data from the nodes of the rectangular grid onto those of the triangular grid. The nearest neighbor method, bilinear method, and inverse distance weighting (IDW) method are three commonly utilized two-dimensional interpolation techniques, and inverse distance weighted regression (IDWR) represents a more recent interpolation approach. In this study, these methods were applied to interpolate the bathymetric data of the Hormuz Strait and the North Indian Ocean onto the FVCOM triangular grid. The experimental results demonstrate that a very small error in the interpolation of bathymetric data was achieved. Additionally, these methods were compared with the interpolation techniques provided by the MATLAB system. The comparative analysis reveals that the bilinear method can achieve a superior interpolation effect compared to the other three methods.
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来源期刊
CiteScore
7.90
自引率
10.00%
发文量
755
审稿时长
36 days
期刊介绍: Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.
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