基于多重分形的Karst流域地貌信息挖掘  

Karst watershed topographic characteristics mining based on multifractal

作　　者：陈旺[1] 梁虹[1] 邓亚东[1,2] 李静[1] 向尚[1] 

机构地区：[1]贵州师范大学地理与环境科学学院,贵阳550001 [2]中国地质科学院岩溶地质研究所,广西桂林541004

出　　处：《测绘科学》2012年第4期147-150,156,共5页Science of Surveying and Mapping

基　　金：中国地质科学院岩溶地质研究所资助项目(2007015);中国地质科学院岩溶地质研究所资助项目(2009021);贵州省科技厅自然基金(黔科合J字[2010]2026号);贵州省教育厅自然基金(黔教科2009(0039));贵州省水利厅自然基金(KT201010);((KT200802))

摘　　要：本文利用多重分形理论揭示出了DEM不同尺度下的地貌多重分形谱的变化规律。基于多重分形理论研究表明:多重分形理论构建的高程多重分形谱模型能挖掘出更全面、更精细Karst流域地貌形态信息,其中高程多重分形谱模型中的宽度定量表征出了Karst流域地貌的起伏程度,多重分形谱最大、最小子集维数的差值定量表征了地貌形态的差异性,而且根据多重分形谱的参数随DEM分辨率变化关系并结合广义熵理论,确定了Karst地貌形态研究的数据的空间分辨率最优范围在(0-15]之间。Traditional mathematical methods are not good at analyzing Karst watershed topography,fractal comprehensively describes the complicated Karst topography of watershed,but not for all.It shows that multifractal could reflect the overall characteristic of distribution probability of the surface elevation,and the parameter of multifractal spectrums could reflect different resolution of topography information,one of multifractal spectrum width quantitatively represents DEM information,the degree of the undulation of topography and the complex of terrain,Moreover,according to the parameters of the multifractal spectrum changing with the DEM resolution combined with the generalized entropy theory of Karst topography,it could be determined that the spatial resolution of data would be not less than 35 meters.The result had some reference value to the Karst topography study.

关 键 词：分形 多重分形谱 Karst地貌 DEM 

分 类 号：P285.1[天文地球—地图制图学与地理信息工程] P931.5[天文地球—测绘科学与技术]