Delaunay三角剖分插值算法在MT成图中的应用
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摘要
研究并实现了一种基于Delaunay三角剖分的二维快速插值算法,并将其应用于大地电磁(MT)二维反演实时成像网格化处理中。实际资料试算结果表明,该算法具有稳定、插值效果好以及易于模拟地形数据等优点,能满足MT反演结果实时成图的要求。
A rapid two-dimensional linear interpolation algorithm based on the Delaunay triangulation for magnetotelluric(MT) inversion process is researched and implemented,and is applied to the data griding in real-time imaging of MT inversion.The result of using the algorithm in true case shows that the algorithm is stable,fast with good interpolation effect,and is easy for simulating topographical data.It can meet the needs of real-time imaging in MT inversion.
A rapid two-dimensional linear interpolation algorithm based on the Delaunay triangulation for magnetotelluric(MT) inversion process is researched and implemented,and is applied to the data griding in real-time imaging of MT inversion.The result of using the algorithm in true case shows that the algorithm is stable,fast with good interpolation effect,and is easy for simulating topographical data.It can meet the needs of real-time imaging in MT inversion.
引文
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[15]李希亮,刘希强,董晓娜,等.高阶统计量方法在地球物理学中的应用与展望[J].西北地震学报,2010,32(2):201-205.
[2]刘兆平,杨进,武炜.地球物理数据网格化方法的选取[J].物探与化探,2010,34(1):93-97.
[3]郭良辉,孟小红,等.地球物理不规则分布数据的空间网格化法[J].物探与化探,2005,29(5):438-442.
[4]赵文芳.离散点集Delaunay三角网生成算法改进与软件开发[J].测绘工程,2003,12(04):22-25.
[5]凌海滨,吴兵.改进的自连接Delaunay三角网生成算法[J].计算机应用,1999,19(12):10-12.
[6]文伟,杨耀权,于希宁.用Visual C语言实现的Delaunay三角剖分算法[J].华北电力大学学报,2000,27(4):54-58.
[7]徐青,常歌,杨力.基于自适应分块的TIN三角网建立算法[J].中国图象图形学报,2000,5(6):461-465.
[8]潘荣江,屠长河,孟祥旭,等.基于均匀网格的Delaunay三角网算法在随机聚合网屏中的应用[J].中国图象图形学报,2002,7(5):495-500.
[9]Q Fan,A Efrat,V Koltun,et al.Hardware-Assisted Natu-ral Neighbor Interpolation[A]∥Proceedings of ALENEX[C].2005:111-120.
[10]Sambridge M,Braun J,McQueen H.Geophysical parame-terization and interpolation of irregular data using naturalneighbors[J].Geophysical Journal International 1995,12(2):837-857.
[11]Lee D T,Schacheer B J.Two algorithms for constructing aDelaunay triangulation[J].International Journal of Computerand Information Science,1980,9(3):219-242.
[12]Lawson C L.Software for C surface interpolation[M].NewYork:Academic Press,1997.
[13]Watson D F.Computing the n-dimension Delaunay tessella-tion with application to Voronoi polygons[J].Computer Jour-nal,1981,24(2):167-172.
[14]徐凯军,石双虎,周家惠.三维大地电磁激电效应特征研究[J].西北地震学报,2009,31(1):31-34.
[15]李希亮,刘希强,董晓娜,等.高阶统计量方法在地球物理学中的应用与展望[J].西北地震学报,2010,32(2):201-205.
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