Automatic generation of hexahedral and tetrahedral meshes

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P Zerfass1, E Keeve

  • 1Surgical Systems Lab., Research Center Caesar Friedensplatz 16, 53111 Bonn, Germany. zerfass@caesar.de

Biomedizinische Technik. Biomedical Engineering
|November 28, 2002
PubMed

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For solids whose cross-sectional areas vary in a predictable way, volume can be determined by integrating these areas along an axis perpendicular to the slices. This approach is particularly useful for polyhedral solids, where classical geometric formulas may not be immediately applicable. A tetrahedron provides a clear example of how cross-sectional integration can be applied to a three-dimensional object with continuously changing geometry.Consider a tetrahedron with height h and a base that...