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DELAUNAY TRIANGULATION METHOD OF CURVED SURFACES BASED ON RIEMANNIAN METRIC 被引量:4

DELAUNAY TRIANGULATION METHOD OF CURVED SURFACES BASED ON RIEMANNIAN METRIC
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摘要 A method for quality mesh generation of parametric curved surfaces isproposed. It is shown that the main difference between the proposed method and previous ones is thatour meshing process is done completely in the parametric domains with the guarantee of meshquality. To obtain this aim, the Delaunay method is extended to anisotropic context of 2D domains,and a Riemannian metric map is introduced to remedy the mapping distortion from object space toparametric domain. Compared with previous algorithms, the approach is much simpler, more robust andspeedy. The algorithm is implemented and examples for several geometries are presented todemonstrate the efficiency and validity of the method. A method for quality mesh generation of parametric curved surfaces isproposed. It is shown that the main difference between the proposed method and previous ones is thatour meshing process is done completely in the parametric domains with the guarantee of meshquality. To obtain this aim, the Delaunay method is extended to anisotropic context of 2D domains,and a Riemannian metric map is introduced to remedy the mapping distortion from object space toparametric domain. Compared with previous algorithms, the approach is much simpler, more robust andspeedy. The algorithm is implemented and examples for several geometries are presented todemonstrate the efficiency and validity of the method.
出处 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2003年第1期91-93,共3页 中国机械工程学报(英文版)
基金 This project is supported by National Natural Science Foundation of China(No.59990470).
关键词 Mesh generation Riemannian metric Delaunay triangulation Curvedsurfaces Mesh generation Riemannian metric Delaunay triangulation Curvedsurfaces
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  • 1[1]Borouchaki Houman, Lang P, George P L. Parametric surface meshing using a combined advancing-front generalized Delaunay approach. Inter. J. for Num. Methods in Eng., 2000, 49(2): 233~259
  • 2[2]Shimada Kenji, Gossard D. Automatic triangular mesh generaion of trimmed parametric surfaces for finite element analysis. Computer Aided Geometric Design,1998, 15(2) : 199~222
  • 3[3]Cuilliere J C. An adaptive method for the automatic triangulation of 3D parametric surfaces. CAD, 1998, 30(1): 139~149
  • 4[4]Borouchaki Houman, George P L. Delaunay mesh generation governed by metric specifications, Part 1: algorithm. Finite Elements in Alanysis and Design, 1997, 25(1) : 61~83
  • 5[5]Chew L Paul. Constrained Delaunay triangulation. Algorithmca, 1989, 4(1) : 97~108
  • 6[6]Jonathan Richard Shewchuk. Delaunay refinement mesh generation: [PhD Dissertation]. Pittsburgh: Carnegie Mellon University, 1997
  • 7[7]Marc Vigo, Pla N. Computing directional constrained Delaunay triangulations. Computers and Graphics, 2000, 24(2) : 181~190

同被引文献23

  • 1张文明,刘彬,徐刚.三维实体网格自适应划分算法[J].机械工程学报,2009,45(11):266-270. 被引量:9
  • 2孟宪海,李吉刚,杨钦,蔡强,陈其明.复杂限定Delaunay三角化算法[J].中国科学:信息科学,2010,40(3):381-392. 被引量:6
  • 3HUANG Xiaodong,DU Qungui,YE Bangyan.METHOD FOR ADAPTIVE MESH GENERATION BASED ON GEOMETRICAL FEATURES OF 3D SOLID[J].Chinese Journal of Mechanical Engineering,2006,19(3):330-334. 被引量:3
  • 4关振群,单菊林,顾元宪.基于黎曼度量的复杂参数曲面有限元网格生成方法[J].计算机学报,2006,29(10):1823-1833. 被引量:20
  • 5NAKAHASHI K , SHAROV D. Direct surface triangulation using the advancing front method[C]//AIAA Computational Fluid Dynamics Conference, San Diego, CA, USA. 1995: AIAA-1995-1686.442-451.
  • 6BOROUCHAKI H, GEORGE P L, HECHT F, et al. Delatmay mesh generation governed by metric specifications, part I. algorithms[J]. Finite Elem. Anal. Des., 1997, 25(1-2): 61-83.
  • 7ITO Y, NAKAHASttI K. Surface triangulation for polygonal models based on CAD data[J]. Int. J. Numer. Methods Fluids, 2002, 39(1): 75-96.
  • 8RYPL D, BITTNAR Z. Generation of computational surface meshes of STL models[J]. J. Comput. Appl. Math., 2006, 192(1): 148-151.
  • 9BECHET E, CUILLIERE J C, TROCHU F. Generation of a finite element mesh from Stereolithography (STL) files[J]. Computer-Aided Des., 2002, 34(1): 1-17.
  • 10WANG D, HASSAN O, MORGAN K, et al. Enhanced remeshing from STL files with applications to surface grid generation[J]. Commun. Numer. Methods Eng., 2007,23(3): 227-239.

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