不同比例尺DEM地形信息容量的探讨  

Discussion on topographic information capacity from different scales DEMs

作　　者：朱海金[1,2] 杨辉[3] 刘欣欣[1,2] 

机构地区：[1]福州大学福建省空间信息工程研究中心,福州350002 [2]空间数据挖掘与信息共享教育部重点实验室,福州350002 [3]武汉大学资源与环境科学学院,武汉430079

出　　处：《测绘科学》2013年第3期184-186,189,共4页Science of Surveying and Mapping

基　　金：国家自然科学基金重点项目(40930531);国家自然科学基金青年基金项目(41001254)

摘　　要：本文以福建省11个地区作为实验样区,利用Python脚本进行批量提取地形因子,从中选取坡度、粗糙度两个地形因子,并引入信息论中的信息熵、自信息相关理论进行研究。以1∶10 000比例尺DEM提取的地形因子为真值,与1∶50 000比例尺DEM所提取的地形因子信息容量进行对比分析,研究两种比例尺DEM所提取的地形因子引起的信息容量的损失和纠正方法,以及通过线性回归分析寻找两种比例尺DEM的相同地形因子面积定量信息对应的转换公式。The paper selected 11 sample regions in Fujian province and used the Python script to batch extracting the basic terrain factors, and then chose the slope and roughness from among the terrain factors. The terrain factors derived from 5m resolution DEM of I：10 000 scaled were taken as true values, compared with the terrain factors derived from 25m resolution DEM of 1：50 000 scaled. In- formation theory, mathematical statistics and comparative laws as the basic research methodology were applied and the calculating for- mula of information loss and revising formula of factors characters were proved. Through the linear regression analysis, the correspond- ing transition equations of area quantitative information of same terrain factors on two scale DEMs were obtained. The study result could give support on the water and soil conservation in Fujian province.

关 键 词：地形信息容量 DEM 坡度 粗糙度 信息熵 

分 类 号：P285.1[天文地球—地图制图学与地理信息工程]