Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.

LEARNING OUTCOMES

You know the most important data structures and algorithms used in geometric processing. You can design and analyze basic geometric algorithms. You have an understanding of computational hardness for geometric problems, and are familiar with several tools used in geometric approximation algorithms.

Credits: 5

Schedule: 09.01.2025 - 03.04.2025

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Sándor Kisfaludi-Bak

Contact information for the course (applies in this implementation):

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English

CONTENT, ASSESSMENT AND WORKLOAD

Content
  • valid for whole curriculum period:

    The main concepts and tools used in computational geometry: data structures, exact and approximation algorithms, computational hardness. Topics include: arrangements and duality, convex hulls, low-dimensional linear programming, orthogonal range searching, plane sweep, Voronoi diagrams and Delaunay triangulations, quadtrees, spanners, clustering, range spaces.

Workload
  • valid for whole curriculum period:

    Lectures. Teaching in small groups. Independent work. 

DETAILS

Study Material
  • valid for whole curriculum period:

    Lecture notes, articles, and chapters from: Computational Geometry: Algorithms and Applications (3rd ed) by Mark de Berg, Otfried Cheong, Marc van Kreveld, and Mark Overmars.

Substitutes for Courses
Prerequisites

FURTHER INFORMATION

Further Information
  • valid for whole curriculum period:

    Teaching Language: English

    Teaching Period: 2024-2025 Spring III - IV
    2025-2026 Spring III - IV