MU24019 Geometric Algorithms

Mathematical Institute in Opava
Winter 2023
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Vladimír Sedlář, CSc. (lecturer)
RNDr. Vladimír Sedlář, CSc. (seminar tutor)
Guaranteed by
RNDr. Vladimír Sedlář, CSc.
Mathematical Institute in Opava
Timetable
Mon 9:45–11:20 207
  • Timetable of Seminar Groups:
MU24019/01: Mon 11:25–13:00 207, V. Sedlář
Prerequisites (in Czech)
TYP_STUDIA ( B )
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives (in Czech)
Tento předmět se bude zabývat problémy související s analýzou a návrhem efektivních algoritmů pro popis vlastností a vzájemných vztahů geometrických objetů a jejich aplikace.
Syllabus
  • Basic notions: analytic geometry, basic data structures, lower limit for sorting.
    Convexity: convex hulls in E2 and E3.
    Proximity: Voronoi diagrams, their generalizations and applications, triangulations, Delaunay trangulations and its applications
    Geometric search and sorting: localization of a point in a polygon, in planar map
    Intersections of geometric bodies: intersections of polygons, sets of segments, the kernel of a polygon and their 3D applications
    Optimization problems: iteration, sweeping, ...
Literature
    required literature
  • Žára, J., Sochor, J. Algoritmy počítačové grafiky. ČVUT Praha, 1993. info
  • Edelsbruner, H. Algorithms in Combinatorial Geometry. Springer Verlag, 1987. info
    recommended literature
  • Sack, J. R., Urrutia, J. A., eds. Handbook of Computational Geometry. North-Holland, 2000. ISBN 0-444-82537-1. info
  • Rourke:. Computational geometry in C. Cambridge University Press, 1998. info
  • De Berg, M., van Kreveld, M., Overmars, M., Schwarzkopf, O. Computational Geometry Algorithms and Applications. Springer, 1997. info
    not specified
  • Jan Slovák,. Geometrické algoritmy I,. 1994. info
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
  • Enrolment Statistics (recent)
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