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Two Triangulation Methods Based on Edge Refinement

In: Geometric Modelling

Author

Listed:
  • Marc Vigo

    (Universitat Politécnica de Catalunya, Escola Tècnica Superior, d’ Enginyeria Industrial de Barcelona)

  • Nuria Pla

    (Universitat Politécnica de Catalunya, Escola Tècnica Superior, d’ Enginyeria Industrial de Barcelona)

  • Dolors Ayala

    (Universitat Politécnica de Catalunya, Escola Tècnica Superior, d’ Enginyeria Industrial de Barcelona)

Abstract

In this paper two curvature adaptive methods of surface triangulation are presented. Both methods are based on edge refinement to obtain a triangulation compatible with the curvature requirements. The first method applies an incremental and constrained Delaunay triangulation and uses curvature bounds to determine if an edge of the triangulation is admissible. The second method uses this function also in the edge refinement process, i.e. in the computation of the location of a refining point, and in the re-triangulation needed after the insertion of this refining point. Results are presented, comparing both approaches.

Suggested Citation

  • Marc Vigo & Nuria Pla & Dolors Ayala, 2004. "Two Triangulation Methods Based on Edge Refinement," Springer Books, in: Stefanie Hahmann & Guido Brunnett & Gerald Farin & Ron Goldman (ed.), Geometric Modelling, pages 221-233, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7091-0587-0_18
    DOI: 10.1007/978-3-7091-0587-0_18
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