CS 478 Computational Geometry

Introduction: algorithmic background, data structures, geometric preliminaries, models of computation. Geometric searching: pointlocation problems, rangesearching problems. Convex hulls: problem statement and lower bounds, convex hull algorithms in the plane, Graham's scan, Jarvis's march, Quickhull techniques, divideandconquer algorithms, dynamic convex hull, convex hull in 3D. Proximity: a collection of problems, a computational prototype: element uniqueness, lower bounds, the closestpair problem: a divideandconquer 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 starshaped polygons, intersection of line segments, 3D applications: intersection of 3D convex polyhedra, intersection of halfspaces.
Credit units: 3 ECTS Credit units: 5, Prerequisite:
CS 202.
Spring Semester (Uğur Güdükbay)



Bilkent University Main Page
Last regenerated automatically on May 29, 2023 by OAC  Online Academic Catalog Software

