| Carl-Friedrich-Gauß-Faculty | Computer Science

Computational Geometry

Semester Winter 2015/2016 [ Other terms: · Winter 14/15 · Winter 13/14 · Winter 12/13 ]
Module # INF-ALG-18 , INF-ALG-18
Event # INF-ALG-007, INF-ALG-008
Programmes Diplom Informatik, Master Informatik, Diplom Wirtschaftsinformatik, Master Wirtschaftsinformatik
IBR Group(s) ALG (Prof. Fekete)
Type Vorlesung/Übung
Photo Prof. Dr. Sándor P. Fekete
+49 531 3913111
Room 335
Photo Dr. Victor Alvarez
Ehemaliger Wissenschaftlicher Mitarbeiter
Assistant Melanie Papenberg
Credits 5
Hours 2+1+1
Time & Place Lecture: Tuesday, 09:45 - 11:15 hrs., IZ 305

Tutorial: Thursday, 15:00 - 16:30 hrs., IZ 305, bi-weekly
Small Tutorial: Thursday, 15:00 - 16:30 hrs., IZ 305, bi-weekly. Tutor: Melanie Papenberg

Start First Lecture: Tuesday, 03.11.2015
First Tutorial: Thursday, 19.11.2015
First Small Tutorial: Thursday, 26.11.2015
Prerequisites Basic knowledge of analysis of Algorithms and Data Structures is required. Basic knowledge of probability is useful but not required.
Language English
Certificates Homework assignments during the semester (=Studienleistung) and one exam at the end.

This course is meant to be a first course in Computational Geometry. After this course, the participants will have acquired good knowledge about core topics in Computational Geometry that by now have gathered a significant amount of research and practical applications. The participants will be able to handle common design paradigms of geometric algorithms such as divide-and-conquer, sweep-line, as well as probabilistic. They will also be able to design and analyze geometric algorithms taking into consideration inherent intricacies of geometric computations. Topics on this course include among other:

  1. Geometric Primitives
  2. Convex Hulls
  3. Polygon Triangulation
  4. Voronoi Diagrams
  5. Delaunay Triangulation
  6. Point Location and Proximity
  7. Degeneracies and Robustness
  8. Arrangements and Duality

References The course will not follow any book in particular but below there is a list of relevant literature.

General Information

  • Schedule of all lectures, tutorials, and home assignments: PDF [20.10.2015]
  • There is a mailinglist. We will distribute the homework sets and other announcements via this list, so, please subscribe!

Homework Sets

  1. Set 1: [PDF] Out: 09.11.2015. Due: 23.11.2015.
  2. Set 2: [PDF] Out: 23.11.2015. Due: 07.12.2015.
  3. Set 3: [PDF] Out: 07.12.2015. Due: 04.01.2016.
  4. Set 4: [PDF] Out: 04.01.2016. Due: 18.01.2016.
  5. Set 5: [PDF] Out: 22.01.2016. Due: 05.02.2016.

last changed 2016-01-22, 14:08 by Dr. Victor Alvarez