Science China Information Sciences

, Volume 53, Issue 6, pp 1130–1140 | Cite as

Complex conforming Delaunay triangulation

  • XianHai Meng
  • JiGang Li
  • Qin Yang
  • Qiang Cai
  • QiMing Chen
Research Papers


A novel algorithm of conforming Delaunay triangulation for curved geometry is presented in the paper. A progress has been made for the problem puzzled Delaunay refinement where curved constraints cannot be accepted as input directly. The algorithm is based on a new sufficient condition for the existence of constraints in triangulation. It requires computing only the intersection between constraints and Voronoi edges or faces instead of the circum-sphere of curved constraint. For the termination of the algorithm when small input angles exist in constraints, a weighted method is applied to ensure that the algorithm can terminate under any input. Some two-dimensional and three-dimensional results are also presented. It is shown that the algorithm has the capability of dealing with both linear and nonlinear constraints in a consistent way, without the need of maintaining triangular meshes on face constraints.


mesh generation Delaunay triangulation conforming curved constraints tetrahedralization weight 


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Copyright information

© Science China Press and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • XianHai Meng
    • 1
  • JiGang Li
    • 1
  • Qin Yang
    • 1
  • Qiang Cai
    • 2
  • QiMing Chen
    • 3
  1. 1.NLSDE, School of Computer Science and EngineeringBeiHang UniversityBeijingChina
  2. 2.School of Computer SciencesBeijing Technology and Business UniversityBeijingChina
  3. 3.School of Mechanical Engineering and AutomationBeiHang UniversityBeijingChina

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