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Tetrahedra Decomposition

Problem: $2^8$ cases to take into account.
Goal: Simplification of cut geometry by reduction of unit volume to tetrahedra.
Solution: Every hexahedron (unit cube or brick with 6 faces and 8 corner points) can be decomposed into 5 tetrahedra with 4 faces and 4 corner points.

Decomposition of the volume with corner points $P_0..P_7$ into a central tetrahedron (blue)

and 4 neighbouring tetrahedra (gray)

Retrieved from http://schorsch.efi.fh-nuernberg.de/roettger/index.php/MedicalVisualization/TetrahedraDecomposition

Page last modified on January 20, 2014, at 12:15 PM