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Computational Geometry

Semester
Winter 2013/2014
Winter 2015/2016Winter 2014/2015Winter 2012/2013
Module # INF-ALG-18 , INF-ALG-18
Event #INF-ALG-007, INF-ALG-008
ProgrammesDiplom Informatik, Computer Science Master, Diplom Wirtschaftsinformatik, Business Information Systems Master
IBR GroupALG (Prof. Fekete)
TypeLecture & Exercise
Lecturer
Photo
Dr. Christiane Schmidt
Ehemalige Wissenschaftliche Mitarbeiterin
Assistant
Photo
Dr. Christiane Schmidt
Ehemalige Wissenschaftliche Mitarbeiterin
Credits5
Hours2+1
Time & Place

Monday, 15:00 - 16:30 , PK 3.3
Thursday, 16:45 - 19:0 , PK 3.2
small tutorial: Friday, 11:30 - 13:00, IZ 358, tutor: Thomas Mysliewitz.

We will start class only at the beginning of December, but will then meet twice a week (so both dates, Mondays and Thursdays, have a look at the course overview below). This will give you an intensive and fun introduction into Computational Geometry. Content you'd generally expect to be presented in lectures/tutorials will be presented on both days (with the overall 2+1-ratio preserved).

Start First Lecture: Monday, December 2
First small tutorial: Friday, December 13
Prerequisitesnone
LanguageEnglish
Certificates(Homework assignments during the semester, and)* an exam at the end. (*=Studienleistung)
Content

After the course, the participants know the basic models of geometric algorithms. They are able to identify algorithmic difficulites of geometric problems and are able to formulate adequate objectives. They can handle different solution techniques and are able to develop algorithmic methods for yet unknown problems. They survey the practical relevance of problems and solutions.

We will speak English in class. Students are encouraged (but not required) to use English in exercises and exams as well.

Topics:
  1. Geometric Problems and Data Structures
  2. The Art Gallery Problem
  3. Polygon Triangulation
  4. Triangulation of Point Sets
  5. Convex Hulls
  6. Voronoi Diagrams
  7. Localization
References
  • Mark de Berg, Marc van Kreveld, Mark Overmars and Otfried Schwarzkopf: Computational Geometry: Algorithms and Applications, Second. Edition, pages 367, Springer-Verlag, 2000 (deBerg2000, BibTeX)
  • Joseph O'Rourke: Computational Geometry in C, Second Edition, Cambridge University Press.
  • Rolf Klein: Algorithmische Geometrie, pages 1-355, examen.press, 1997 (Klein1997, BibTeX)

last changed 2014-10-23, 17:01 by Dr. Michael Hemmer

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