Computational Geometry (Fall 2004)

Exam

The oral exams will take place Monday January 10, 2005 and Tuesday January 11, 2005. 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-016.

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, 6.1-6.2, 7, 8.2, 9.1-9.3, 10 , 11.1-11.2, 12-15, 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. [O83] Mark H. Overmars, The Design of Dynamic Data Structures, Volume 156 of Lecure Notes in Computer Science, 1983. Chapter 7
5. [S98] Sven Skyum, Lecture note on Introduction to lower bounds, February 1998. Chapter 11
6. [A03] Sanjeev Arora, Approximation schemes for NP-hard geometric optimization problems: A survey. Appeared in Math Programming, August 2003. Sections 1-2
7.[BGH99] Julien Basch, Leonidas J. Guibas and John Hershberger, Data Structures for Mobile Data, Journal of Algorithms, 31(1), 1999, pages 1-28. Sections 1, 4
8. [H04] Herman J. Haverkort, Introduction to bounding volume hierarchies, Manuscript, May 2004. All


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