基于交叉验证的kriging和IDW在局部GNSS/水准准面模型中的比较

IF 0.3 Q4 REMOTE SENSING
M. Ligas, Blazej Lucki, Piotr Banasik
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引用次数: 2

摘要

摘要针对局部GNSS/水准(准)大地水准面建模问题,比较了两种插值方法。它使用原始数据,不涉及全球地势模型。这些方法由于建模过程的复杂程度和理论背景不同,都是普通的克里格/最小二乘配置,具有恒定趋势和逆距离加权(IDW)。比较本身是通过留一和随机(蒙特卡罗)交叉验证完成的。普通克里格和IDW的性能测试使用局部(使用有限数量的数据)和全局(使用所有可用数据)邻域,在克里格情况下使用各种平面协方差函数模型,在IDW情况下使用各种指数(功率参数)。对于研究区域,这两种方法都保证了总体精度水平,以平均绝对误差、均方根误差和中位数绝对误差衡量,小于1厘米。虽然IDW方法简单得多,但适当选择的参数(也包括趋势去除)可能导致方法之间的差异几乎可以忽略不计(毫米的几分之一)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A crossvalidation-based comparison of kriging and IDW in local GNSS/levelling quasigeoid modelling
Abstract This study compares two interpolation methods in the problem of a local GNSS/levelling (quasi) geoid modelling. It uses raw data, no global geopotential model is involved. The methods differ as to the complexity of modelling procedure and theoretical background, they are ordinary kriging/least-squares collocation with constant trend and inverse distance weighting (IDW). The comparison itself was done through leave-one-out and random (Monte Carlo) cross-validation. Ordinary kriging and IDW performance was tested with a local (using limited number of data) and global (using all available data) neighbourhoods using various planar covariance function models in case of kriging and various exponents (power parameter) in case of IDW. For the study area both methods assure an overall accuracy level, measured by mean absolute error, root mean square error and median absolute error, of less than 1 cm. Although the method of IDW is much simpler, a suitably selected parameters (also trend removal) may contribute to differences between methods that are virtually negligible (fraction of a millimetre).
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来源期刊
自引率
28.60%
发文量
5
审稿时长
12 weeks
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