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Meshing Piecewise Linear Complexes by Constrained Delaunay Tetrahedralizations
 In Proceedings of the 14th International Meshing Roundtable
, 2005
"... Summary. We present a method to decompose an arbitrary 3D piecewise linear complex (PLC) into a constrained Delaunay tetrahedralization (CDT). It successfully resolves the problem of nonexistence of a CDT by updating the input PLC into another PLC which is topologically and geometrically equivalent ..."
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Summary. We present a method to decompose an arbitrary 3D piecewise linear complex (PLC) into a constrained Delaunay tetrahedralization (CDT). It successfully resolves the problem of nonexistence of a CDT by updating the input PLC into another PLC which is topologically and geometrically equivalent to the original one and does have a CDT. Based on a strong CDT existence condition, the redefinition is done by a segment splitting and vertex perturbation. Once the CDT exists, a practically fast cavity retetrahedralization algorithm recovers the missing facets. This method has been implemented and tested through various examples. In practice, it behaves rather robust and efficient for relatively complicated 3D domains. 1
SemiStructured Mesh Generation Based on Medial Axis
 9th International Meshing Roundtable
, 2000
"... A threedimensional, medialaxisbased mesh generator is described. First the medial axis of the geometry to be meshed is constructed, then quaddominant meshes on the medial surface are generated and extruded to the boundary at both sides of the medial surface. The resulting single cell layer is su ..."
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Cited by 5 (0 self)
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A threedimensional, medialaxisbased mesh generator is described. First the medial axis of the geometry to be meshed is constructed, then quaddominant meshes on the medial surface are generated and extruded to the boundary at both sides of the medial surface. The resulting single cell layer is subdivided in direction normal to the boundary, yielding columns of hexahedral and threesided prismatic cells. The resulting volume mesh is orthogonal at the boundary and “semistructured ” between boundary and medial surface. Mixed cell types (tets, pyramids, degenerate hexahedra) may result along the medial surface. The medial axis is computed indirectly from the Voronoi diagram of a dense set of samplepoints on the boundary. An advancing front algorithm (paving) is used for meshing the subfaces of the medial surface. Development of the mesh generator has not been fully completed yet. First mediumcomplexity geometries have been meshed, however, showing moderate meshing times.
Simulations in Resin Transfer Moulding
, 2004
"... Citations (this article cites 10 articles hosted on the ..."
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