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A Delaunay based numerical method for three dimensions: generation, formulation, and partition
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Tetrahedral mesh generation by Delaunay refinement
Proceedings of the fourteenth annual symposium on Computational geometry
Parallelization of a Dynamic Unstructured Algorithm Using Three Leading Programming Paradigms
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Guaranteed: quality parallel delaunay refinement for restricted polyhedral domains
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Volume conserving smoothing for piecewise linear curves, surfaces, and triple lines
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Principles of Concurrent Programming
Principles of Concurrent Programming
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WBIA '98 Proceedings of the IEEE Workshop on Biomedical Image Analysis
Obstruction-Free Synchronization: Double-Ended Queues as an Example
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Guaranteed-quality parallel Delaunay refinement for restricted polyhedral domains
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Parallel delaunay refinement mesh generation
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Isosurface stuffing: fast tetrahedral meshes with good dihedral angles
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ACM Transactions on Mathematical Software (TOMS)
Three-dimensional delaunay refinement for multi-core processors
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Mesh Generation from 3D Multi-material Images
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High-quality consistent meshing of multi-label datasets
IPMI'07 Proceedings of the 20th international conference on Information processing in medical imaging
Parallel geometric algorithms for multi-core computers
Computational Geometry: Theory and Applications
Guaranteed Quality Tetrahedral Delaunay Meshing for Medical Images
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Unstructured mesh partition improvement for implicit finite element at extreme scale
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Delaunay refinement algorithms for triangular mesh generation
Computational Geometry: Theory and Applications
Multitissue Tetrahedral Image-to-mesh Conversion with Guaranteed Quality and Fidelity
SIAM Journal on Scientific Computing
Multi-layered unstructured mesh generation
Proceedings of the 27th international ACM conference on International conference on supercomputing
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In this paper, we present a parallel Image-to-Mesh Conversion (I2M) algorithm with quality and fidelity guarantees achieved by dynamic point insertions and removals. Starting directly from an image, its implementation is capable of recovering the isosurface and meshing the volume with tetrahedra of good shape. Our tightly-coupled shared-memory parallel speculative execution paradigm employs carefully designed contention managers, load balancing, synchronization and optimizations schemes. These techniques are shown to boost not only the parallel but also the single-threaded efficiency of our code. Specifically, our single-threaded performance is faster than both CGAL and TetGen, the state of the art sequential open source meshing tools we are aware of. The effectiveness of our method is demonstrated on Blacklight, the Pittsburgh Supercomputing Center's cache-coherent NUMA machine. We observe a more than 82% strong scaling efficiency for up to 64 cores, and a more than 82% weak scaling efficiency for up to 144 cores, reaching a rate of more than 14.3 million elements per second. This is the fastest 3D Delaunay mesh generation and refinement algorithm, to the best of our knowledge.