The authors describe meshing techniques based on Delauney triangulation, which is used in construction projects. They also discuss classical mesh generation techniques and more advanced topics such as isotrop, planar, curve, surface and volumetric meshing. The theoretical discussion is complemented by examples of practical applications.

Synopsis

The purpose of this study is to provide a description of the meshing techniques based on the so-called Delaunay triangulation. To this end, it benefits from the experience acquired in the Gamma Project at INRIA which has been in existence for many years. Both theoretical and computational aspects are discussed from a practical point of view. It first addresses triangulation construction methods, then discusses classical mesh generation techniques along with more advanced topics such as anisotropic meshing. Planar, curve, surface and volumetric meshing issues are successively envisaged. Key issues for mesh adaptation are also highlighted. Various application examples from both the academic and concrete engineering areas are provided to illustrate the theoretical discussion.

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