Computational Geometry

A Seed Placement Strategy for Conforming Voronoi Meshing
We show how to place a set of seed points such that a given piecewise linear complex is the union of some faces in the resulting …
Ahmed Abdelkader, Chandrajit Bajaj, Mohamed Ebeida, Scott Mitchell
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Argus: Realistic Target Coverage by Drones
Low-cost mini-drones with advanced sensing and maneuverability enable a new class of intelligent visual sensing systems. This potential …
Ahmed Saeed, Ahmed Abdelkader, Mouhyemen Khan, Azin Neishaboori, Khaled Harras, Amr Mohamed
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Recovering visibility and dodging obstacles in pursuit-evasion games
Pursuit-evasion games encompass a wide range of planning problems with a variety of constraints on the motion of agents. We study the …
Ahmed Abdelkader
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The Inapproximability of Illuminating Polygons by α-Floodlights
We consider variants of the art gallery problem where guard visibility is limited to a certain angular aperture $\alpha$. We show that …
Ahmed Abdelkader, Ahmed Saeed, Khaled Harras, Amr Mohamed
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Angular Heuristics for Coverage Maximization in Multi-Camera Surveillance
Multiple cameras are used to track targets moving amongst obstacles. Surveillance video streamed from a top-view camera is processed to …
Ahmed Abdelkader, Moamen Mokhtar, Hazem El-Alfy
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Visibility Induction for Discretized Pursuit-Evasion Games
We study a two-player pursuit-evasion game, in which an agent moving amongst obstacles is to be maintained within “sight” …
Ahmed Abdelkader, Hazem El-Alfy
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Shape Modeling
Efficient shape modeling using high-quality discretizations
Approximation Algorithms
Efficient evaluation of distance and membership queries in high-dimensional spaces