径向基核函数在DEM内插中的适用性分析
Applicability analysis of RBF kernel function in DEM modeling
和娴,董有福,王玉成
摘要(Abstract):
针对空间插值中不同核函数在不同地形条件下的适用性问题,该文选取了平原、丘陵和山地3种地貌类型区,采用5种常用的径向基核函数分别生成若干分辨率的DEM,通过高程统计参数、空间自相关特性和等高线套合分析DEM的精度差异。综合而言,平原地区中多重对数函数、多重二次曲面函数、反多重二次曲面函数和自然三次样条曲面函数插值效果没有显著差别,薄板样条曲面函数相对略差;丘陵地区选择多重二次曲面函数和薄板样条曲面函数插值效果最好,多重对数函数和自然三次样条曲面函数次之,反多重二次曲面函数最差;山地地区采用多重二次曲面函数插值能取得较为满意的效果,其他4种核函数逊之。
关键词(KeyWords): 径向基函数;核函数;DEM;精度分析
基金项目(Foundation): 国家自然科学基金项目(41101360)
作者(Author): 和娴,董有福,王玉成
DOI: 10.16251/j.cnki.1009-2307.2017.02.002
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