On converting sets of tetrahedra to combinatorial and PL manifolds
Computer Aided Geometric Design
SOT: compact representation for tetrahedral meshes
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Technical section: Image centric finite element simulation
Computers and Graphics
Mesh Generation from 3D Multi-material Images
MICCAI '09 Proceedings of the 12th International Conference on Medical Image Computing and Computer-Assisted Intervention: Part II
Feature preserving Delaunay mesh generation from 3D multi-material images
SGP '09 Proceedings of the Symposium on Geometry Processing
Tetrahedral image-to-mesh conversion for biomedical applications
Proceedings of the 2nd ACM Conference on Bioinformatics, Computational Biology and Biomedicine
High quality real-time Image-to-Mesh conversion for finite element simulations
Journal of Parallel and Distributed Computing
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This paper addresses the problem of generating three-dimensional (3D) finite element (FE) meshes from medical voxel datasets. With our background in cognitive neuroscience, we deal with brain MR tomograms of up to \(256^{3}\) voxels which contain a multitude of incompletely definable, complex-shaped objects. We describe an algorithm that allows the fast and stable creation of very large 3D meshes with well-defined geometric properties. The task of generating anisotropic meshes consisting of up to one million tetrahedra is fulfilled within minutes on a standard workstation. As the angles of the tetrahedra have a direct influence on the stability of the finite element analysis, special care has been taken to assess the element quality. Our algorithm is based on the idea of an image-based spatial decomposition of the problem domain yielding smaller subproblems that can efficiently be handled. Our primary purpose is to set up mechanical and electro-magnetical finite element models of the brain. However, our FE meshes could also be useful in other types of finite element analyses or as deformable volume models for shape descriptions and shape comparisons.