From Ohm

**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)

- $P_0, P_3, P_5, P_6$

and 4 neighbouring tetrahedra (gray)

- $P_0, P_5, P_3, P_1$
- $P_3, P_6, P_0, P_2$
- $P_0, P_6, P_5, P_4$
- $P_3, P_5, P_6, P_7$

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

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