44 citations · 83 across the 4 of their papers we have counts for
5 papers
VoroCrust: Voronoi Meshing Without Clipping
Ahmed Abdelkader, Chandrajit L. Bajaj, Mohamed S. Ebeida +4
Polyhedral meshes are increasingly becoming an attractive option with particular advantages over traditional meshes for certain applications. What has been missing is a robust poly…
Sampling Conditions for Conforming Voronoi Meshing by the VoroCrust Algorithm
Ahmed Abdelkader, Chandrajit L. Bajaj, Mohamed S. Ebeida +4
We study the problem of decomposing a volume bounded by a smooth surface into a collection of Voronoi cells. Unlike the dual problem of conforming Delaunay meshing, a principled so…
Surrogate-based Ensemble Grouping Strategies for Embedded Sampling-based Uncertainty Quantification
Marta D'Elia, Eric Phipps, Ahmad Rushdi +1
The embedded ensemble propagation approach introduced in [49] has been demonstrated to be a powerful means of reducing the computational cost of sampling-based uncertainty quantifi…
Spoke-Darts for High-Dimensional Blue-Noise Sampling
Scott A. Mitchell, Mohamed S. Ebeida, Muhammad A. Awad +6
Blue noise sampling has proved useful for many graphics applications, but remains underexplored in high-dimensional spaces due to the difficulty of generating distributions and pro…
k-d Darts: Sampling by k-Dimensional Flat Searches
Mohamed S. Ebeida, Anjul Patney, Scott A. Mitchell +3
We formalize the notion of sampling a function using k-d darts. A k-d dart is a set of independent, mutually orthogonal, k-dimensional subspaces called k-d flats. Each dart has d c…