Image-based meshing: Difference between revisions

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Image-based approach: Fixed wrong claim that marching cubes algorithm produces tetrahedral meshes. Marching cubes does not create tetrahedral meshes, it produces a triangulation of an isosurface.
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===Image-based approach===
This approach is the more direct way as it combines the geometric detection and mesh creation stages in one process which offers a more robust and accurate result than meshing from surface data. The most commonly applied meshing procedures are the voxelVoxel conversion technique providing meshes with brick elements <ref>Fyhrie et al, 1993. The probability distribution of trabecular level strains for vertebral cancellous bone. Transactions of the 39th Annual Meeting of the Orthopaedic Research Society, San Francisco.</ref> and with tetrahedral elements. <ref>Frey et al, 1994. Fully automatic mesh generation for 3-D domains based upon voxel sets. ''International Journal of Methods in Engineering'', 37, 2735–2753.</ref> have been proposed.
A newer enhanced volumetric marching cubes approach generates 3D hexahedral or tetrahedral elements throughout the volume of the ___domain, thus creating the mesh directly with conforming multipart surfaces. In the case of modeling complex topologies with possibly hundreds of disconnected domains, this approach is remarkably straightforward, robust, accurate and efficient.<ref>Young et al, 2008. An efficient approach to converting 3D image data into highly accurate computational models. ''Philosophical Transactions of the Royal Society A'', 366, 3155&ndash;3173.</ref>