International Journal for Numerical Methods in Biomedical Engineering · 2013 · 29 citations · 26 references
ComputingBiomedical EngineeringComputational EngineeringComputational GeometryComputer-aided DesignGeometric ModelingCardiovascular AnatomyGeometry ProcessingMesh GenerationMesh ModelingMesh ProcessingVascular AnatomyMesh Quality MetricsMesh SizeRobust Mesh GenerationTetrahedral Mesh GenerationTetrahedral MeshingThoracic Blood VesselsUnstructured Mesh GenerationVolumetric Meshes
We present a fully automatic procedure for the mesh generation of tubular geometries such as blood vessels or airways. The procedure is implemented in the open-source Gmsh software and relies on a centerline description of the input geometry. The presented method can generate different type of meshes: isotropic tetrahedral meshes, anisotropic tetrahedral meshes, and mixed hexahedral/tetrahedral meshes. Additionally, a multiple layered arterial wall can be generated with a variable thickness. All the generated meshes rely on a mesh size field and a mesh metric that is based on centerline descriptions, namely the distance to the centerlines and a local reference system based on the tangent and the normal directions to the centerlines. Different examples show that the proposed method is very efficient and robust and leads to high quality computational meshes.
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An optimal algorithm for approximate nearest neighbor searching fixed dimensions
Sunil Arya, David M. Mount, Nathan S. Netanyahu et al. · Journal of the ACM · 1998 · 2.3K citations · Full text
Continuous Shading of Curved Surfaces
Henri Gouraud · IEEE Transactions on Computers · 1971 · 694 citations