[1]袁 兵,王彬权,袁光银,等.基于DEM的对称13点局部窗口坡度算法分析[J].山地学报,2019,(01):137-143.[doi:10.16089/j.cnki.1008-2786.000407]
　YUAN Bing,WANG Binquan,YUAN Guangyin,et al.Slope Computation Analysis of Symmetric 13 Nodes Local Window Based on Grid DEM[J].Mountain Research,2019,(01):137-143.[doi:10.16089/j.cnki.1008-2786.000407]
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基于DEM的对称13点局部窗口坡度算法分析()
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《山地学报》[ISSN:1008-2186/CN:51-1516]

卷:
期数:
2019年01期
页码:
137-143
栏目:
山地技术
出版日期:
2019-03-10

文章信息/Info

Title:
Slope Computation Analysis of Symmetric 13 Nodes Local Window Based on Grid DEM
文章编号:
1008-2786-(2019)1-137-07
作者:
袁 兵1; 2; 王彬权3; 袁光银1; 张 璐4; 周 路2*
1.中石油东方地球物理勘探有限公司西南物探分公司,成都610500; 2. 西南石油大学 地球科学与技术学院,成都610500; 3.中石化石油物探技术研究院,南京211103; 4.中海油湛江分公司,广东 湛江524057
Author(s):
YUAN Bing1; 2; WANG Binquan3; YUAN Guangyin1; ZHANG Lu4; ZHOU Lu2*
1. BGP Southwest Geophysical Company, CNPC, Chengdu,610500, China; 2. School of Geosciences and Technology, Southwest Petroleum University, Chengdu 610500, China; 3.Sinopec Geophysical Research Institute, Nanjing 211103, China; 4.Zhanjiang Branch, CNOOC Ltd, Zhanjiang 524057, China
关键词:
DEM;  坡度;  局部曲面拟合法;  精度分析
Keywords:
DEM;  slope;  local surface fitting method;  accuracy analysis
分类号:
P208
DOI:
10.16089/j.cnki.1008-2786.000407
文献标志码:
A
摘要:
局部曲面拟合法是基于DEM的计算坡度的常用方法之一,采用不同的拟合曲面和局部移动窗口将得到不同精度的计算模型,探索不同的局部窗口类型可以丰富局部曲面拟合法在数字地形分析中的应用。本文考虑不同距离临近点的高程信息,基于3×3局部窗口提出了一种由两种不同倍率、与主轴(x轴、y轴)呈45°夹角的格网点构成的新窗口——对称13点局部窗口,推导了三阶曲面拟合该窗口的坡度计算公式,并利用典型数学曲面对该模型的计算精度进行了分析。研究分析认为,相对于现有的坡度计算模型,三阶曲面拟合对称13点窗口模型能显著地提高坡度计算精度,但对误差的平滑能力较差,适用于高精度DEM。本文的研究扩展了曲面拟合法在数字地形分析中的应用。
Abstract:
Local surface fitting is one of the common methods to calculate the slope based on grid DEM. Two major factors of this method affect slope estimation accuracy including polynomial and local moving windows. In order to have a better slope calculation formula and to analyze the influence of the factors for calculation accuracy, a new local moving window, called 13 nodes local moving window, is established based on 3×3 local moving window in this paper. It is a symmetric window contained 13 grid nodes with two different grid sizes and intersecting with the principal axis on angles of 45 degree. A new slope computation formula is obtained by fitting the developed window with third order polynomial. To simplify the terrain surface and practical DEM data, a discretization mathematical surface simulates two kind of DEM data. one is high precision DEM data without error, while another with error by adding random noise to the mathematical surface. Based on the simulated DEM data, we analyze the calculation accuracy of the new formula, third order difference, third order difference with inverse square distance weighting and third-order polynomial fitting with 5×5 local window model through comparisons of the true value and calculated value of slope. The results show that third-order polynomial fitting with the symmetric 13 nodes local window model significantly improves the accuracy of the slope computation with the high precision DEM data. However, it has a poor capability for smoothness of error with the DEM data with error compared with other model. This study extends surface fitting method to apply in digital terrain analysis.

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备注/Memo

备注/Memo:
收稿日期(Received datse):2017-10-05; 改回日期(Accepted date):2019-02-07
基金项目(Foundation item):国家自然科学基金(41430316); 国家科技重大专项(2017ZX 05008004-008)。[National Natural Science Foundation of China(41430316); National Science and Technology Major Project(2017ZX 05008004-008)]
作者简介(Biography):袁兵(1991-),男,硕士研究生,四川广安人,助理工程师,主要从事山地地震勘探的研究。[YUAN Bing(1991-), male,M.Sc. candidate,born in Guang'an,Sichuang Province,research on mountain seismic exploration] E-mail: swpu_yb @yeah.net
*通讯作者(Corresponding author):周路(1962-),男,博士,四川广安人,教授,主要从事地震资料解释、地震岩性与储层预测等方面的研究与教学。[ZHOU Lu(1962-),male, Ph. D., born in Guang'an, Sichuang Province, professor, research on seismic data interpretation and seismic lithology and reservoir prediction] E-mail:zhoulu9@126.com
更新日期/Last Update: 2019-01-30