Computational Geometry (Fall 2006)

Exam

The oral exams will take place Monday January 15, 2007 and Tuesday January 16, 2007. The exam takes 20 minutes, including evaluation. The exam will be a discussion of the reports on the three projects and the material covered in class. The final grade will be based on the project reports and the oral examination. A grad will be given on the 13-scale.

The exam takes place in Turing-024.

Syllabus

1. [BKOS] Computational Geometry: Algorithms and Applications. Mark de Berg, Marc van Kreveld, Mark Overmars, Otfried Schwarzkopf. Second Edition. Springer-Verlag, 367 pages, 2000. ISBN: 3-540-65620-0. Chapters 1-3, 5, 6.1-6.3, 7, 8.2, 9.1-9.3, 10 , 11.1-11.2, 12.1-12.3, 13-15, 16.1-16.3
2.[C96] Timothy M. Chan, Optimal output-sensitive convex hull algorithms in two and three dimensions, Discrete and Computational Geometry, 16, pages 361-368, 1996. Sections 1-2, 4
3. [ST86] Neil Sarnak, Robert E. Tarjan, Planar point location using persistent search trees, Communications of the ACM, 29(7), 1986, pages 669-679. All
4. [BFJ02] Gerth Stølting Brodal, Rolf Fagerberg, Riko Jacob, Cache-Oblivious Search Trees via Binary Trees of Small Height. Proc. 13th Annual ACM-SIAM Symposium on Discrete Algorithms, pages 39-48, 2002. All
5. [ABFL05] Lars Arge, Gerth Stølting Brodal, Rolf Fagerberg, Morten Laustsen. Cache-Oblivious Planar Orthogonal Range Searching and Counting Proc. 21st Annual ACM Symposium on Computational Geometry, pages 160-169, 2005. All
6. [O83] Mark H. Overmars, The Design of Dynamic Data Structures, Volume 156 of Lecure Notes in Computer Science, 1983. Chapter 7
7. [BV06] Henrik Blunck and Jan Vahrenhold. In-Place Algorithms for Computing (Layers of) Maxima. In: Lars Arge and Rusin Freivalds, editors: Proceedings of the 10th Scandinavian Workshop on Algorithm Theory (SWAT 2006), volume 4059 of Lecture Notes in Computer Science, pages 363-374. Springer, Berlin, 2006. © Springer-Verlag. All
8. [BV06b] Henrik Blunck and Jan Vahrenhold. In-Place Randomized Slope Selection. In: Tiziana Calamoneri, Irene Finocchi, and Giuseppe F. Italiano, editors: Proceedings of the 6th Conference on Algorithms and Complexity (CIAC 2006), volume 3998 of Lecture Notes in Computer Science, pages 30-41. Springer, Berlin, 2006. © Springer-Verlag. All
9. [BCC04] H. Brönnimann, T. M. Chan and E. Y. Chen, Towards in-place Geometric Algorithms and Data Structures. In Proceedings of the 20th Annual ACM Symposium on Computational Geometry (SoCG '04)', ACM Press, New York, NY, USA, pp. 239-246, 2004. All
10. [BIKMMT04] H. Brönnimann, J. Iacono,, J. Katajainen, P. Morin, J. Morrison and G. Toussaint, Space-efficient Planar Convex Hull Algorithms. Theoretical Computer Science 321(1), 25-40, 2004. All
11. [KMPSY04] Lutz Kettner, Kurt Mehlhorn, Sylvain Pion, Stefan Schirra, and Chee Yap. Classroom Examples of Robustness Problems in Geometric Computations. In: Proc. of the 12th Annu. European Sympos. Algorithms (ESA'04), Bergen, Norway. LNCS 3221, Springer, pp. 702-713, September, 2004. All


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