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Gaussian curvature analysis allows for automatic block placement in multi-block hexahedral meshing

Author

Listed:
  • Austin Ramme
  • Kiran Shivanna
  • Vincent Magnotta
  • Nicole Grosland

Abstract

Musculoskeletal finite element analysis (FEA) has been essential to research in orthopaedic biomechanics. The generation of a volumetric mesh is often the most challenging step in a FEA. Hexahedral meshing tools that are based on a multi-block approach rely on the manual placement of building blocks for their mesh generation scheme. We hypothesise that Gaussian curvature analysis could be used to automatically develop a building block structure for multi-block hexahedral mesh generation. The Automated Building Block Algorithm incorporates principles from differential geometry, combinatorics, statistical analysis and computer science to automatically generate a building block structure to represent a given surface without prior information. We have applied this algorithm to 29 bones of varying geometries and successfully generated a usable mesh in all cases. This work represents a significant advancement in automating the definition of building blocks.

Suggested Citation

  • Austin Ramme & Kiran Shivanna & Vincent Magnotta & Nicole Grosland, 2011. "Gaussian curvature analysis allows for automatic block placement in multi-block hexahedral meshing," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 14(10), pages 893-904.
    • Handle: RePEc:taf:gcmbxx:v:14:y:2011:i:10:p:893-904
    DOI: 10.1080/10255842.2010.499869
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