龚懿,陈再扬,张维,等. 基于正交试验选优的湖底地形分区插值方法[J]. 水利水运工程学报,2022(6):78-85. doi: 10.12170/20211103004
引用本文: 龚懿,陈再扬,张维,等. 基于正交试验选优的湖底地形分区插值方法[J]. 水利水运工程学报,2022(6):78-85. doi: 10.12170/20211103004
(GONG Yi, CHEN Zaiyang, ZHANG Wei, et al. Research on interpolation method of lake terrain zoning based on orthogonal experiment optimization[J]. Hydro-Science and Engineering, 2022(6): 78-85. (in Chinese)). doi: 10.12170/20211103004
Citation: (GONG Yi, CHEN Zaiyang, ZHANG Wei, et al. Research on interpolation method of lake terrain zoning based on orthogonal experiment optimization[J]. Hydro-Science and Engineering, 2022(6): 78-85. (in Chinese)). doi: 10.12170/20211103004

基于正交试验选优的湖底地形分区插值方法

Research on interpolation method of lake terrain zoning based on orthogonal experiment optimization

  • 摘要: 为降低湖底高程采样点变异较大对插值计算的影响,获得精度较高的湖底地形,将高程采样点变异程度对插值的影响引入普通的反距离加权插值法中,提出了考虑高程采样点变异程度的湖泊地形分区插值方法。通过正交试验优化方法,得到各分区反距离最优幂值。以太湖为研究实例,对比了几种插值方法对太湖湖底地形的插值效果。结果表明分区域反距离加权插值法具有良好的适应性:在高程方面,经实测验证,其均方根误差最小;在库容方面,该方法与克里金法、反距离加权插值法、自然邻域法相比,平均相对误差分别减少0.97%、0.90%、1.37%,插值效果明显更优。因此,在湖泊地形起伏较大情况下,分区域反距离加权插值法能够获得较高精度的湖底形态,可用于不同类型的湖底地形插值计算。

     

    Abstract: In order to reduce the influence of large variation of lake bottom elevation sampling points on interpolation calculation and obtain high precision lake bottom topography, the influence of variation degree of elevation sampling points on interpolation is introduced into the ordinary Inverse Distance Weight (IDW) interpolation, and a lake terrain partition interpolation method considering the variation degree of elevation sampling points is proposed. By introducing the optimization method of orthogonal test optimization, the optimal power value of inverse distance in each partition is obtained. Taking Taihu Lake as an example, the interpolation effects of several interpolation methods on the bottom topography of Taihu Lake are compared. The results suggest that the regional inverse distance weighted interpolation method keeps good adaptability, it is verified by the measured elevation value, and the root mean square error is the smallest. Considering the terms of storage capacity error, comparing with Kriging method, inverse distance weighted interpolation method as well as natural neighborhood method, the average relative error is decreased by 0.97%, 0.90% and 1.37%, respectively. The interpolation effect is obviously superior to these interpolation methods. Therefore, when it comes to large topographic relief of the lake, the subregional inverse distance weighted interpolation method can obtain a high-precision lake bottom shape, and is of high application value for different types of lake bottom topography interpolation calculation.

     

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