Guaranteed-quality mesh generation for curved surfaces
SCG '93 Proceedings of the ninth annual symposium on Computational geometry
A Delaunay refinement algorithm for quality 2-dimensional mesh generation
SODA '93 Selected papers from the fourth annual ACM SIAM symposium on Discrete algorithms
Anisotropic voronoi diagrams and guaranteed-quality anisotropic mesh generation
Proceedings of the nineteenth annual symposium on Computational geometry
Delaunay refinement mesh generation
Delaunay refinement mesh generation
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Anisotropic mesh generation is important for interpolation and numerical modeling. Recently, Labelle and Shewchuk proposed a two-dimensional guaranteed-quality anisotropic mesh generation algorithm called a Voronoi refinement algorithm. This algorithm treats only domains with straight lines as inputs. In many applications, however, input domains have many curves and the exact representation of curves is required for efficient numerical modeling. In this paper, we extend the Voronoi refinement algorithm and propose it as a guaranteed-quality anisotropic mesh generation algorithm for domains with curved boundaries. Some experimental results are also shown.