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# Mesh2Tetra 1.0

Date Added: June 12, 2013  |  Visits: 199

This function MESH2TETRA converts a triangulated surface mesh into a tetrahedron volume mesh. Main advantage above existing constrained 3D Delaunay is that it will never add new boundary points, (useful for active appearance models) Disadvantage, some highly non-convex surface-shapes cannot be converted. T=Mesh2Tetra(V,F,options); inputs, V : Vertex List N x 3, with x,y,z positions F : Face List M x 3, with vertex indices options : Struct with options options.verbose : if true, show information options.checkinput : if true, check input mesh on errors outputs, T : Tetrahedron List K x 4, with tetrahedron indices Note!, most functions are also available as c-code (much faster), run compile_c_files.m to compile the code How the software works: - First, normal Delaunay is used to created a tetrahedron convexhull. Then outside tetrahedrons and tetrahedrons intersecting the boundary mesh are removed. - Second, New triangulated surface meshes are constructed for the space not yet filled by tetrahedrons. After which Delaunay is done on the new boundary meshes. - Third, The remaining boundary which cannot be filled using Delaunay constraints, is filled with a "Boundary collapse method". The Boundary collapse method merges vertex neighbors, creating tetrahedrons while making the surface mesh smaller (like a deflating balloon) - Fourth, It is possible that a part of the boundary mesh is left over which cannot be filled with tetrahedrons. This is the case if there are no 4 vertices left who can see each other (like a non-convex polygon). In that case nearby Tetrahedrons are removed creating a new boundary mesh. And tetrahedron fitting with the boundary collapse methods is tried again (until success, or a fixed amount of tries)..Please leave a comment if you find a bug, like the code, or have a good suggestion.

 Requirements: No special requirements Platforms: Matlab Keyword: Boundary,  Collapse,  Constraints,  Creating,  Method,  Neighbors,  Remaining Users rating: 0/10