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» Computational geometry: a retrospective
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IMR
2003
Springer
15 years 11 months ago
A Local Cell Quality Metric and Variational Grid Smoothing Algorithm
A local cell quality metric is introduced and used to construct a variational functional for a grid smoothing algorithm. A maximum principle is proved and the properties of the loc...
Larisa Branets, Graham F. Carey
IMR
2003
Springer
15 years 11 months ago
Toward Quality Surface Meshing
This paper presents recent progress and extensions to TriQuaMesh (TQM) [1], targeted at providing good quality surface meshes: Increased robustness of the 1D mesh generator to han...
Jean Cabello
IMR
2003
Springer
15 years 11 months ago
When and Why Ruppert's Algorithm Works
An “adaptive” variant of Ruppert’s Algorithm for producing quality triangular planar meshes is introduced. The algorithm terminates for arbitrary Planar Straight Line Graph ...
Gary L. Miller, Steven E. Pav, Noel Walkington
IMR
2003
Springer
15 years 11 months ago
Mesh Refinement Based on the 8-Tetrahedra Longest- Edge Partition
The 8-tetrahedra longest-edge (8T-LE) partition of any tetrahedron is defined in terms of three consecutive edge bisections, the first one performed by the longest-edge. The ass...
Angel Plaza, Maria-Cecilia Rivara
IMR
2003
Springer
15 years 11 months ago
Topology Modification of Hexahedral Meshes Using Atomic Dual-based Operations
Topology modification of hexahedral meshes has been considered difficult due to the propagation of topological modifications non-locally. We address this problem by working in the...
Timothy J. Tautges, Sarah E. Knoop