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- W2180038452 abstract "An extension of the restricted Delaunay-refinement algorithm for surface mesh generation is described, where a new point-placement scheme is introduced to improve element quality in the presence of mesh size constraints. Specifically, it is shown that the use of off-centre Steiner points, positioned on the faces of the associated Voronoi diagram, typically leads to significant improvements in the shape- and size-quality of the resulting surface tessellations. The new algorithm can be viewed as a Frontal-Delaunay approach - a hybridisation of conventional Delaunay-refinement and advancing-front techniques in which new vertices are positioned to satisfy both element size and shape constraints. The performance of the new scheme is investigated experimentally via a series of comparative studies that contrast its performance with that of a typical Delaunay-refinement technique. It is shown that the new method inherits many of the best features of classical Delaunay-refinement and advancing-front type methods, leading to the construction of smooth, high quality surface triangulations with bounded radius-edge ratios and convergence guarantees. Experiments are conducted using a range of complex benchmarks, verifying the robustness and practical performance of the proposed scheme. Development of a new unstructured triangulation algorithm for smooth surfaces.Hybridisation of existing Delaunay-refinement and advancing-front techniques.Combines desirable aspects of both methods: high element quality, robustness.Provably good behaviour: guaranteed termination, bounded element quality." @default.
- W2180038452 created "2016-06-24" @default.
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- W2180038452 date "2016-03-01" @default.
- W2180038452 modified "2023-10-02" @default.
- W2180038452 title "Off-centre Steiner points for Delaunay-refinement on curved surfaces" @default.
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- W2180038452 doi "https://doi.org/10.1016/j.cad.2015.10.007" @default.
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