2011, Volume 13, Issue 12
Strategic Study of CAE >> 2011, Volume 13, Issue 12
3D interpolation-approximation fitting construction method for complex geological surfaces
1.State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China;
2.Chengdu Hydroelectric Investigation and Design Institute, China Hydropower Consulting Group, Chengdu 610072, China
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Abstract
Based on multi-source data, a fitting geological surface is required to achieve the balance among accuracy specification, continuity and storage. An approach of complex geological surface reconstruction which combines interpolation with approximation based on NURBS(non-uniform rational B-splines) technique is presented. The algorithm adopts the skinning method for densely and uniformly distributed data in the key region, and it ensures that all original data are on the built surface strictly. For the discrete data in the peripheral region, NURBS approximation fitting method is used to construct the corresponding surface, which approximates the data fully under the required accuracy. Finally, the integrated surface is analyzed and modified by checking the rationality of geological structure, geometry and accuracy. The instance shows that the approach can satisfy practical demands of engineering geologists and offer elements to further 3D geological modeling.
Keywords
geological surface ; interpolation-approximation fitting ; 3D construction ; multi-source geological data
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References
[ 1 ] 黄健全,罗明高,胡雪涛.实用计算机地质制图[M].北京:地质出版社,1998.
[ 2 ] Horsman J, Bethel W.Methods of constructing a 3D geologicalmodel from scatter data [ C ] //Proceedings of AVS 95 , http: // www -vis.lbl.gov /Publications /1995 /Horsman -AVS95.ps, 1995.
[ 3 ] 彭芳瑜,周云飞,周济.基于插值与逼近的复杂曲面拟合[J].工程图学学报,2002,23(4):87-96. link1
[ 4 ] Fernández O.Obtaining a best fitting plane through 3D georefer- enced data[ J] .Journal of Structural Geology, 2005 , 27 ( 5 ) : 855 -858 link1
[ 5 ] 吴春发,李星.地质模拟中数据插值方法的应用[J].地球信息科学,2004,6(2):50-52. link1
[ 6 ] 周小文,付晖,吴昌瑜.地层特性随机场插值方法应用研究[J].岩土力学,2005,26(2):221-224. link1
[ 7 ] 李晓军,王长虹,朱合华.Kriging插值方法在地层模型生成中的应用[J].岩土力学,2009,30(1):157-162. link1
[ 8 ] Wang D, Wang H T, Xi J H, et al.Three-dimensional geological modeling with discrete smooth interpolation algorithm [ C] //2010 International Conference on Remote Sensing, IEEE, 2010 : 125 - 129.
[ 9 ] Sirakov N M, Granado I, M uge F H.Interpolation approach for 3D smooth reconstruction of subsurface objects[ J] .Computers & Geosciences, 2002 , 28 ( 8 ) : 877 -885. link1
[10] 秦绪佳,王青,鲍虎军.基于散乱点的增量式曲面逼近[J].计算机辅助设计与图形学学报,2006,18(9):1408-1413. link1
[11] 徐华,武强.复杂地质体中多值面的网格生成算法[J].计算机辅助设计与图形学学报,2002,14(7):609-612. link1
[12] 钟登华,李明超.水利水电工程地质三维建模与分析理论及实践[M].北京:中国水利水电出版社,2006.
[13] Zhong D H, Li M C, Song L G, et al.Enhanced NURBS model- ing and visualization for large 3D geoengineering applications: an example from the Jinping first-level hydropower engineering pro- ject, China[ J] .Computers & Geosciences, 2006 , 32 ( 9 ) : 1270 -1282. link1
[14] Piegl L, Tiller W.Algorithm for approximate NURBS skinning [ J] .Computer -Aided Design, 1996 , 28 ( 9 ) : 699 -706. link1
[15] 施法中.计算机辅助几何设计与非均匀有理B样条(CAGD&NURBS)[M].北京:高等教育出版社,2001.
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