格网DEM坡度计算模型的相似性研究Similarity assessment on slope models used in grid-based DEM
晋蓓,刘学军,王彦芳
摘要(Abstract):
当DEM的精度和分辨率确定后,坡度坡向计算结果取决于计算模型。本文设计了逐栅格单元的相对差等级评价方法,并结合基于整体的频率图和XY散点图评价指标,定量揭示了坡度计算模型之间的异同。主要结论为:①坡度计算模型有离散和连续之分,连续型模型能给出更加符合实际的坡度坡向计算结果;②坡度计算结果与计算点数有关,点数越多,计算结果越稳定;③算法间的差异随DEM分辨率的增大而增大。最后本文给出了实际应用中的坡度计算模型。
关键词(KeyWords): 数字高程模型;坡度;坡向;算法;相似性
基金项目(Foundation): 国家自然科学基金资助项目(40571120)
作者(Author): 晋蓓,刘学军,王彦芳
参考文献(References):
- [1]SHARPNACK D A,AKIN G.An Algorithm for Compu-ting Slope and Aspect from Elevations[J].Photogram-metric Survey,1969,35(3).
- [2]Horn B KP.Hill shading and the reflectance ma P[J].Proceedings of IEEE,69(1).
- [3]UNWIN D.Introductory Spatial Analysis[M].Lon-don:Methuen Press,1981.
- [4]Ritter D.A vector-based slope and aspect generation al-gorithm[J].Photogrammetric Engineering and RemoteSensing,1987,53(8).
- [5]Papo HB,Gelbman E.Digital terrain modles for slopesand curvatures[J].Photogrammetric Engineering andRemote Sensing,1984,50(6).
- [6]张菊清,等.DEM空间数据抗差内插模型及其分析[J].测绘科学,2007,23(6).
- [7]SKIDMORE A K.A Comparison of Techniques for theCalculation of Gradient and Aspect from A Grided DigitalElevation Model[J].International Journal of Geograph-ical Information Systems,1989,(3).
- [8]FLORINSKY I V.Accuracy of Local Topographic Varia-bles Derived from Digital Elevation Models[J].Int JGeographical Information Science,1998,12(1).
- [9]OKSANENJ,SARJAKOSHI T.Error Propagation Analy-sis of DEM-based Surface Derivatives[J].Computers&Geosciences,2005,31(8).
- [10]HODGSON M E.What Cell Size Does the ComputedSlope/Aspect Angle Represent-[J].PhotogrammetricEngineering and Remote Sensing,1995,61.
- [11]JONES K H.A Comparison of Algorithms Used to Com-pute Hill Slope as a Property of the DEM[J].Comput-er and Geosciences,1998,24(4).
- [12]周启鸣,刘学军.数字地形分析[M].北京:科学出版社,2007.