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• W1490688156 abstract "SummaryWe present a tetrahedral mesh improvement schedule that usually creates meshes whose worst tetrahedra have a level of quality substantially better than those produced by any previous method for tetrahedral mesh generation or “mesh clean-up.” Our goal is to aggressively optimize the worst tetrahedra, with speed a secondary consideration. Mesh optimization methods often get stuck in bad local optima (poor-quality meshes) because their repertoire of mesh transformations is weak. We employ a broader palette of operations than any previous mesh improvement software. Alongside the best traditional topological and smoothing operations, we introduce a topological transformation that inserts a new vertex (sometimes deleting others at the same time). We describe a schedule for applying and composing these operations that rarely gets stuck in a bad optimum. We demonstrate that all three techniques—smoothing, vertex insertion, and traditional transformations—are substantially more effective than any two alone. Our implementation usually improves meshes so that all dihedral angles are between 31° and 149°, or (with a different objective function) between 23° and 136°" @default.
• W1490688156 created "2016-06-24" @default.
• W1490688156 creator A5064244744 @default.
• W1490688156 creator A5083639644 @default.
• W1490688156 date "2007-09-24" @default.
• W1490688156 modified "2023-10-17" @default.
• W1490688156 title "Aggressive Tetrahedral Mesh Improvement" @default.
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• W1490688156 doi "https://doi.org/10.1007/978-3-540-75103-8_1" @default.
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