Two Triangulation Methods Based on Edge Refinement

Marc Vigo (), Nuria Pla () and Dolors Ayala ()
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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

A chapter in Geometric Modelling, 2004, pp 221-233 from Springer

Abstract: 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.

Keywords: Delaunay triangulation; regular triangulation; meshing; trimmed surfaces; curvature adaptive; 68U07; 68U05; 32B25 (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7091-0587-0_18

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DOI: 10.1007/978-3-7091-0587-0_18

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