Certified Mesh Generation
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Given a domain D, the problem of mesh generation is to construct a simplicial complex that approximates D in both a topological and a geometrical sense and whose elements satisfy various constraints such as size, aspect ratio or anisotropy. The talk will cover some recent results on triangulating surfaces and volumes by Delaunay refinement, anisotropic mesh generation and surface reconstruction. Applications in medical images, computer vision and geology will be discussed.