Popis předmětu - AE4M39VG

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AE4M39VG Computational Geometry
Role:  Rozsah výuky:2P+2S
Katedra:13139 Jazyk výuky:EN
Garanti:  Zakončení:Z,ZK
Přednášející:  Kreditů:6
Cvičící:  Semestr:Z

Webová stránka:

https://cw.fel.cvut.cz/wiki/courses/ae4m39vg/start

Anotace:

The goal of computational geometry is analysis and design of efficient algorithms for determining properties and relations of geometric entities. The lecture focuses on geometric search, point location, convex hull construction for sets of points in d-dimensional space, searching nearest neighbor points, computing intersection of polygonal areas, geometry of parallelograms. New directions in algorithmic design. Computational geometry is applied not only in geometric applications, but also in common database searching problems.

Výsledek studentské ankety předmětu je zde: AE4M39VG...

Cíle studia:

The course is an informal continuation of fundamental data structures and algorithms courses. You will learn geometric algorithms and data structures allowing for effective computations, e.g., localization of area hit by a ray, computation of intersections and triangulation. You will train presentation and professional discussion skills on the seminars. All of it should not be missing in knowledge of educated progressive Master of Science.

Osnovy přednášek:

1. Computational geometry (CG), typical applications, effective algorithm design techniques
2. Fundamentals of geometry, data structures for CG.
3. Geometric searching
4. Geometric searching 2
5. Planar convex hull
6. Convex hull in 3D
7. Proximity problems, Voronoi diagram.
8. Voronoi diagram applications.
9. 2D a 3D triangulations
10. Intersections of line segments
11. Intersections of polygonal areas and halfspaces
12. Geometry of parallelopids.
13. Dual algorithms.
14. New directions in algorithmic design

Osnovy cvičení:

1. Introduction to the form of the seminars, Selection of topics for assignment.
2. Individual preparation of the presentations
3. Presentations of the topic assigned, discussion. Evaluation of the presentation materials and evaluation of the speech by classmate students. Ideas for improvements.
4. Presentation of the topic assigned
5. Presentation of the topic assigned
6. Presentation of the topic assigned
7. Presentation of the topic assigned
8. Presentation of the topic assigned
9. Presentation of the topic assigned
10. Presentation of the topic assigned
11. Presentation of the topic assigned
12. Presentation of the topic assigned
13. Assessment
14. Spare

Literatura:

1. Preperata F.P.- M.I.Shamos: Computational Geometry An Introduction. Berlin, Springer-Verlag,1985.
2. Edelsbrunner H.: Algorithms in Combinatorial Geometry. Berlin, Springer - Verlag, 1987.
3. de Berg, M.,van Kreveld, M., Overmars, M., Schvarzkopf, O.: Computational Geometry, Berlin, Springer, 1997.
4. O' Rourke, Joseph: Computational Geometry in C, Cambridge University Press, 1st ed, 1994 or 2nd ed, 2000

Požadavky:

Knowledge of Fundamental sorting and searching algorithms. Linear algebra and fundamentals of computer graphics are advantageous

Poznámka:

https://cw.fel.cvut.cz/wiki/courses/ae4m39vg/start

Klíčová slova:

Computational geometry, Discrete geometry, Geometrical algorithms.

Předmět je zahrnut do těchto studijních plánů:

Plán Obor Role Dop. semestr


Stránka vytvořena 28.3.2024 12:50:27, semestry: Z/2024-5, Z,L/2023-4, připomínky k informační náplni zasílejte správci studijních plánů Návrh a realizace: I. Halaška (K336), J. Novák (K336)