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VolumeRendering

Tetrahedra

Cutting Planes | | Tetrahedra Slicing

Fact: Cut geometry is a 3 to 6 point polygon.
Problem: 28 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 P0..P7 into a central tetrahedron (blue)

  • P0,P3,P5,P6

and 4 neighbouring tetrahedra (gray)

  • P0,P5,P3,P1
  • P3,P6,P0,P2
  • P0,P6,P5,P4
  • P3,P5,P6,P7


Cutting Planes | | Tetrahedra Slicing

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