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DEM最优线性生成技术——MADEM
引用本文:胡海,杨传勇,胡鹏. DEM最优线性生成技术——MADEM[J]. 华中科技大学学报(自然科学版), 2007, 35(6): 118-121
作者姓名:胡海  杨传勇  胡鹏
作者单位:武汉大学,测绘学院,湖北,武汉,430079;武汉大学,资源与环境学院,湖北,武汉,430079
基金项目:国家自然科学基金 , 国家自然科学著作出版基金
摘    要:
讨论了DEM生成方法和高精度、高保真问题.指出评价生成方法的误差必须顾及内插模型的截断误差,并把它作为主要部分;给出了新型的地图代数DEM生成方法--MADEM(map algebra DEM),它是定义在最速下降线水平投影上的线性插值方法,通过赋值点线间的加权Voronoi的递归内插过程实现.它在同样条件下,具有远高于Delaunay构网下三角形上的线性插值方法精度,并具有高保真特性.分析和实例比较表明它是目前DEM最优的线性内插方法.

关 键 词:数字高程模型  地图代数  高保真  最优线性
文章编号:1671-4512(2007)06-0118-04
修稿时间:2006-03-27

Optimal linear method for DEM generation: MADEM
Hu Hai,Yang Chuanyong,Hu Peng. Optimal linear method for DEM generation: MADEM[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 2007, 35(6): 118-121
Authors:Hu Hai  Yang Chuanyong  Hu Peng
Affiliation:1 School of Geodesy and Geomatics;2 School of Resource and Environment Science, Wuhan University, Wuhan 430079, China
Abstract:
DEM generation method and its high precision and fidelity were discussed.It is pointed out that the truncation error of interpolation model should be considered as the main error in estimating the error of DEM generation method.A new DEM generation method basing on map algebra is given.It is in fact a linear interpolation on horizontal projection of the steepest descent line realized by recursive powered Voronoi interpolation between evaluated points and lines.Its precision is much better than that of the DEM generation methods basing on linear interpolation on Delaunay triangulation under the same conditions,and it also has the feature of high fidelity.Having compared with other methods,the DEM generation method should be the best linear interpolation method of all.
Keywords:digital elevation model(DEM)  map algebra(MA)  high fidelity  optimal linear method
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