A hybrid interpolation method for the refinement of a regular grid digital elevation model
A hybrid interpolation method for the refinement of a regular grid digital elevation model
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DOI：
10.1080/13658810500286943
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发表时间：
2006-01
影响因子：
5.7
通讯作者：
Wenzhong Shi;Y. Tian
中科院分区：
文献类型：
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作者：
Wenzhong Shi;Y. Tian
数字高程模型（DEM）是用来表示地形表面的，通常是通过对给定的采样高程点应用插值方法来构建的。插值方法可以分为两类：线性方法，具有较低的时间成本，适用于高程变化不大的地形，非线性方法，通常消耗相对较多的时间，更适用于高程变化频繁的地形。本文提出了一种混合插值方法，它包括线性插值方法和非线性插值方法。该方法旨在结合线性和非线性插值方法的优点，对规则格网DEM进行加密。在这里，双线性被确定为线性方法，双三次被确定为非线性插值方法。混合方法是线性模型和非线性插值模型的集成，其中参数定义了每个模型的权重。该参数取决于地形的复杂性，要为地形内插DEM。实验结果表明，该混合方法是有效的内插DEM的各种类型的地形。
A digital elevation model (DEM), which is used to represent a terrain surface, is normally constructed by applying an interpolation method on given sample elevation points. Interpolation methods can be classified into two classes: linear methods, which have a low time cost and are suitable for terrains where there is little change in elevation, and nonlinear methods, which normally consume comparatively more time and are more suitable for terrains where there are frequent changes in elevation. A hybrid interpolation method, which involves both a linear method and a nonlinear method of interpolation, is proposed in this paper. The proposed method aims to integrate the advantages of both linear and nonlinear interpolation methods for the refinement of regular grid DEM. Here, the bilinear is identified as the linear method, and the bi‐cubic is taken to be the nonlinear interpolation method. The hybrid method is an integration of a linear model and nonlinear interpolation model with a parameter that defines the weights for each of the models. The parameter is dependent on the complexity of the terrain, for which a DEM is to be interpolated. The experimental results in this study demonstrate that the hybrid method is effective for interpolating DEMs for various types of terrain.