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The first is mesh generation, which is the general problem of given some boundary, fill the interior with elements. The first two classes of mesh generation (Advancing Front/Layers and Delaunay triangulation) also aim to produce meshes with well proportioned elements. Unfortunately these techniques can be difficult to implement and often require further mesh processing to fix poorly shaped elements.

To build our initial models we use a structured or octree tetrahedralization because it is simple to implement and allows us the most flexibility in creating interesting internal structures.