====== A(E)4M39VG - Computational Geometry ======
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====== Presentations ====== * [[https://cent.felk.cvut.cz/courses/VGE/presentations/ | Submitted presentations]] directory. Names of authors of uploaded presentations are in bold. Do not forget to upload the sources (ppt, tex,...). * [[presentation_hints|Presentation hints]] ===== List of available topics ===== Thursday (12:45-14:15) ^ No. ^ Date ^ Student ^ Topic ^ | 1.| 5.10. | xxxxxxxxxxxxx| | | 2.| 12.10. | xxxxxxxxxxxxx| | | 3.| 19.10. | xxxxxxxxxxxxx| [1] 2D range tree construction and range tree search [PREPARATA 77-87, Mount (75-)79-81, Berg 99-120]. Focus on demonstration example or applet. Do not repeat Lecture 3. | | ::: | ::: | xxxxxxxxxxxxx| [3] BSP trees in 2D and 3D [Mulmuley 372-382, Berg 249-263]| | 4.| 26.10. | Kučera | [9a] Convex Hull of a simple polygon: algorithm of [[http://cgm.cs.mcgill.ca/%7Eathens/cs601/Lee.html | Lee]] [PREPARATA 166-171]| | ::: | ::: | Steidl | [9b] Convex Hull of a simple polygon: algorithm of [[http://softsurfer.com/Archive/algorithm_0203/algorithm_0203.htm | Melkman]]| | 5.| 2.11. | | [6] Triangular method for planar search (Kirkpatrick's Planar point location) [PREPARATA 57-60, Mount 116-120].| | ::: | ::: | | [7] Overmars and van Leeuwen algorithm of dynamic convex hull. [PREPARATA 118-125]. Detailed example.| | 6.| 9.11. | | [8] Beneath-beyond method (horní-dolní) [PREPARATA 131-140].| | ::: | ::: | Špetlík | [11] Diameter of a point set. [PREPARATA 178-183]. | | 7.| 16.11. | Podaný | [13] Largest empty circle [PREPARATA 248-254] | | ::: | ::: | Kovařovic | [12] Smallest enclosing circle. [PREPARATA 248-254] | | 8.| 23.11. | Čajka | [21] Overlap of planar subdivisions.| | ::: | ::: | Mánek | [25] Algorithm for computation of the perimeter of a union of rectangles. [PREPARATA 340-347]| | 9.| 30.11. | | HW deadline | | 10.| 7.12. | Prágr | [18] D&C Algorithm of Delaunay triangulation: DeWall algorithm. [ {{:courses:ae4m39vg:dewall.pdf|Cignoni}}, [[courses:ae4m39vg:links:start#papers_-_local | Maur '02, 15-17]]].| | ::: | ::: | Jašek | [23] (2) Kernel of a Polygon [{{:courses:ae4m39vg:presentations:p415-lee.pdf|Lee}}]| | 11.| 14.12. | Fiala | [37] Partition trees and a simplex method [Berg 335-343]| | ::: | ::: | Frantál | [38] Cutting trees [Berg 346-353]| | 12.| 21.12. | Rozumný | [14] k-th order Voronoi diagram. [PREPARATA 242-246].| | ::: | ::: | Sochorová | [39] Kinetic data structures - introduction - kinetic convex hull [{{:courses:ae4m39vg:presentations:rs-kchmu-03.pdf|Razzazi}}]| | 13.| 4.1. | | HW deadline | | 14.| 11.1. | | | [[..:start#literature|Literature]] [Mulmuley] K. Mulmuley. Computational Geometry: An Introduction Through Randomized Algorithms. Prentice Hall, New York, 1993