CS 564 Computational Geometry
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Introduction: algorithmic background, data structures, geometric preliminaries, models of computation. Geometric searching:
point-location problems, range-searching problems. Convex hulls: problem statement and lower bounds, convex hull algorithms
in the plane, Graham's scan, Jarvis's march, Quickhull techniques, divide-and-conquer algorithms, dynamic convex hull, convex hull in 3D.
Proximity: a collection of problems, a computational prototype: element uniqueness, lower bounds, the closest-pair problem: a
divide-and-conquer approach, the Voronoi diagram, proximity problems solved by the Voronoi diagram. Triangulation: planar
triangulations, Delaunay triangulation. Intersections: application areas, planar applications: intersection of convex polygons,
intersection of star-shaped polygons, intersection of line segments, 3D applications: intersection of 3D convex polyhedra,
intersection of half-spaces.
Credit units: 3 ECTS Credit units: 5.
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