人民黄河Issue(11)：85-89,5.DOI:10.3969/j.issn.1000-1379.2014.11.025
坡度提取的边缘效应研究
Study on Edge Effect of Derived Slope
摘要
Abstract
At present,slope is usually derived from discrete DEM. This method brings errors on the edge of slope matrix. This study was focused on the essential law of the edge effect taking place in slope derived from DEM. The Taylor expansion method was used to find the regulations of the slope change on the edge of slope matrix,with the slope derived by using the common algorithm,the third-order finite difference weighted by re-ciprocal of squared distance. On the basis of the theoretical analyses,the author put forward the error function of slope computation. Then,five sample areas which represented five typical physiognomies and six surfaces generated by Gauss function were the objectives of the research. IThe er-ror function of slope calculation could be used to predict whether slope on the edge would increase or decrease. On the basis of a great deal of statis-tics analyses,the researchers found the regression equations that could describe the relationship between resolution of DEM and the Mean Square Error of slope under the conditions of the edge effect. These equations can be used as references for the further studies. Similarly,the author has found out that the increasing of slope on the edge region takes place when the topographic relief is great and the resolution of DEM is coarse.关键词
数字高程模型/坡度/误差/边缘效应Key words
DEM/slope/error/edge effect分类
天文与地球科学引用本文复制引用
陈楠..坡度提取的边缘效应研究[J].人民黄河,2014,(11):85-89,5.基金项目
福建省自然科学基金资助项目（2014J01155）；福建省科技计划重点项目 （）
