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Einführung in Algorithmische Geometrie

Semester
Summer 2026
Summer 2025
ProgrammeComputer Science Bachelor
IBR GroupALG (Prof. Fekete)
TypeLecture & Exercise
Lecturer
Photo
Dr. Arne Schmidt
Wissenschaftlicher Mitarbeiter
aschmidt[[at]]ibr.cs.tu-bs.de
+49 531 3913115
Room 333
Credits5
Hours2+1+1
Time & Place Vorlesung und Übung: Mittwochs, 13:15 Uhr - 16:30 Uhr (SN 19.3)
Start First Lecture / big tutorial: 15.04.26
First small tutorial TBA
Prerequisites Die Inhalte von Algorithmen und Datenstrukturen werden vorausgesetzt.
Language German
Certificates Studienleistung: Erfolgreiche Bearbeitung der Hausaufgaben
Prüfungsleistung: Klausur am Ende des Semesters
Registration
Content Die Vorlesung deckt folgende Inhalte ab.
  • Range Queries
  • Lokalisierungsprobleme
  • Arrangements
  • Motion Planning
  • Kunstgallerie-Problem
  • Sweepline-Algorithmen
  • Geometrische Datenstrukturen
Material Vorlesungen
  • Intro (15.04): [slides]
  • Range Queries 1 - Quadtrees (22.04.): [slides]
  • Range Queries 2 - kD-Trees (29.04.): [slides], [notizen]
  • Sweep-Line (06.05.): [slides], [notizen]
  • Overlays (13.05.): [slides], [notizen]
  • Punktlokalisierung (20.05.): [slides]
  • Trapezoidal Maps (03.06.): [slides]
  • Minkowski Summen (10.06.): [slides]
  • Multi-Robot-Motion-Planning (17.06.): [slides]
  • Art-Gallery-Problem (24.06.): [slides]
  • Visibility Polygone (01.07.): [slides]
  • Zusammenfassung (08.07.): [slides]
Große Übungen
  • Range Queries, Range Trees: [notizen]
Hausaufgaben

(Hinweis: Das Votierungssystem wurde gestrichen; die Aufgaben werden nur in den Übungen besprochen.)

  • Blatt 1 (Besprechung 06.05.): [pdf], [quadtree], [kdTree]

Die zu den Hausaufgabenblättern existierenden pdfs zu den Instanzen können auch digital mit IPE bearbeitet werden.

References
  • Mark de Berg, Otfried Cheong, Marc van Kreveld, Mark Overmars: Computational Geometry - Algorithms and Applications. Springer Science Business Media, 2000.

Neuigkeiten

Klausur

Die Klausur findet am 28.08. um 09:00 Uhr im Raum SN 19.1 statt. Bitte seid 15 Minuten vorher anwesend. Mitzubringen sind:

  • Studierendenausweis
  • Dokumentenechter Stift (kein Bleistift, Füller oder Rotstifte)
  • Geo-Dreieck oder Lineal
  • Wörterbuch (falls nötig) auf Papier ohne Notizen

Andere Hilfmittel sind nicht zugelassen. Papier wird von uns gestellt.

Klausur aus dem Sommer 25: [pdf]

Mailingliste

Es gibt eine Mailingliste zur Veranstaltung. Bitte registriert euch dort. Wir versenden darüber Informationen zur Klausur, Ausfällen, Korrekturen, etc. Es werden nur tubs-Adressen freigegeben. Bei Problemen wendet euch per Mail an Arne Schmidt. Hier geht es zur [Mailingliste].


last changed 2026-04-29, 15:02 by Dr. Arne Schmidt

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