Organization of the Simplicial Mesh Package.

Algorithms for mesh optimization fall into three categories.

• Geometric optimization: Vertices are moved to improve mesh quality. The topology is unchanged.
• Topological optimization: Reconnect the vertices to form different cells with better quality. This changes the topology of the mesh, but the geometry remains constant.
• Coarsening and refinement: Coarsen the mesh by collapsing edges; refine the mesh by splitting edges. These operations change both the geometry and topology of the mesh.

The simplicial mesh package is composed of three sub-packages:

• The The Simplex Package has quality functions for simplices.
• The Indexed Simplex Set Package has support for mesh generation and geometric optimization. It also has data structures for effeciently computing distance to meshes.
• The Simplicial Mesh Package has support for topological optimization, coarsening, and refinement of simplicial meshes.

Each of these sub-packages has a header file in the geom/mesh directory. You can include all of the sub-packages by including the file geom/mesh.h .

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