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

Austin Ramme, Kiran Shivanna, Vincent Magnotta and Nicole Grosland

Computer Methods in Biomechanics and Biomedical Engineering, 2011, vol. 14, issue 10, 893-904

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.

Date: 2011
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DOI: 10.1080/10255842.2010.499869

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