People Innovation Excellence

COMPUTATIONAL GEOMETRY (2 CREDITS)

Learning Outcomes:

On successful completion of this course, students will be able to: Explain the properties of geometric objects in geometric problems; Describe efficient algorithms for convex hull, triangulation, Voronoi diagram and point location; Devise algorithms and data structure for geometric problems using OpenGL and CGAL; Describe convenient data structure for convex hull, triangulation, Voronoi diagram and point location.

Topics:

  1. Introduction to Computational Geometry;
  2. Convex Hulls;
  3. Line Segment Intersection;
  4. Polygon Triangulation;
  5. Delaunay Triangulations;
  6. Voronoi Diagrams;
  7. Point Location;
  8. Robot Motion Planning;
  9. Project Presentation;
  10. Introduction to OpenGL and CGAL;
  11. Line Segment Intersection;
  12. Polygon Triangulation;
  13. Delaunay Triangulation;
  14. Voronoi Diagrams;
  15. Point Location;
  16. Convex Hulls.

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