An orthogonal least-square-based method for DEM generalization

An orthogonal least-square-based method for DEM generalization
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基于正交最小二乘的 DEM 泛化方法

DOI:
10.1080/13658816.2012.674136
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发表时间:
2013-01
影响因子:
5.7
通讯作者:
Li, Yanyan
Li, Yanyan
中科院分区:
地球科学2区
文献类型:
--
作者:
Chen, Chuanfa;Li, Yanyan

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提出了一种基于多二次曲面算法(MOLS)的正交最小二乘法(OLS)的数字高程模型(DEM)综合方法,该方法通过从基于格网的DEM中提取临界点来构造不规则三角化的网面。重点研究了如何准确地获取关键点,最大限度地保留重要的地形特征线。首先用多二次曲面方法逼近待推广的格网DEM,然后基于OLS方法评估格网的重要性,其优点是每个选定的格点使期望输出的解释方差的增量最大。我们利用6个不同地形复杂程度的研究点,对比分析了MOLS和经典方法,包括非常重要的方法和点相加方法(Latticetin)在不同数量的恢复显著点数下的综合精度。结果表明,在均方根误差方面,MOLS方法对原始DEM的综合效果优于经典方法。分析结果还表明,在流线匹配率方面,MOLS比经典方法具有更好的保持原始DEM固有特征线的能力。新方法的完美性能归功于多二次曲面逼近方法的高精度和OLS对点重要性评估的有效性。
A new method based on orthogonal least square (OLS) of multiquadric algorithm (MOLS) is proposed for digital elevation model (DEM) generalization by the retrieval of critical points from a grid-based DEM to construct a triangulated irregular network surface. The focus is on the method for accurately obtaining the critical points, which maximally retain the important terrain feature lines. The grid-based DEM to be generalized is first approximated in terms of multiquadric method, and then the significances of the grids are assessed based on OLS method with the merit that each selected grid point gives the maximal increment to the explained variance of the desired output. We used six study sites with different terrain complexities to comparatively analyze the generalization accuracies of MOLS and the classical methods including very important method and point-additive method (Latticetin) under different numbers of retrieved significant points. The results indicate that MOLS averagely performs better than the classical methods for the original DEM generalization in terms of root mean square error. The analytical results also show that MOLS has the better ability in maintaining the feature lines inherent in the original DEM than the classical methods in terms of streamline matching rate. The perfect performance of the newly proposed method can be attributed to the high accuracy of multiquadric method for surface approximation and the effectiveness of OLS for point significance assessment.
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