192.133 Algorithmic Geometry
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2022W, VU, 3.0h, 4.5EC
Lecture TubeTUWEL

Properties

  • Semester hours: 3.0
  • Credits: 4.5
  • Type: VU Lecture and Exercise
  • LectureTube course
  • Format: Hybrid

Learning outcomes

After successful completion of the course, students are able to

  • explain fundamental concepts, structures and problem definitions in algorithmic geometry
  • explain, assess, and analyze the discussed algorithms
  • select and adapt appropriate algorithms and data structures to related problems
  • model and analyze unknown applied or theoretical geometric problems and develop and possibly implement efficient solutions independently

Subject of course

Spatial data are processed in various subfields of computer science, e.g. in computer graphics, visualization, geographic information systems, robotics etc. The area of computational geometry deals with the design and analysis of geometric algorithms and data structures. In this module we present common techniques and concepts in computational geometry in the context of selected and applied geometric questions. The following topics are covered in the course:

  • convex hulls
  • line segment intersections
  • polygon triangulation
  • range queries
  • point location
  • Voronoi diagrams and Delaunay triangulations
  • duality of points and lines
  • quadtrees
  • well-separated pair decomposition
  • visibility graphs

Teaching methods

  • Definition, design and analysis of algorithms and data structures, discussion and formal proofs of algorithmic and geometric properties, examples
  • Joint and independent solving of exercise and example tasks
  • Discussion of exercise tasks and proof ideas in exercise groups
  • Lectures and exercises will take place physically and may be supplemented by video recordings

Mode of examination

Immanent

Additional information

ECTS-Breakdown

40 h attending lectures and exercises
50 h lecture follow-up and preparation of home exercises
22 h preparation for oral exam
0.5 h oral exam
------
112.5 h overall

Please send mails concerning general and organisational issues to alggeom@ac.tuwien.ac.at.

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Tue09:00 - 11:0004.10.2022 - 24.01.2023Seminarraum FAV 01 A (Seminarraum 183/2) Lecture
Wed14:00 - 16:0005.10.2022 - 25.01.2023Seminarraum FAV EG C (Seminarraum Gödel) Lecture/Exercise
Algorithmic Geometry - Single appointments
DayDateTimeLocationDescription
Tue04.10.202209:00 - 11:00Seminarraum FAV 01 A (Seminarraum 183/2) Lecture
Wed05.10.202214:00 - 16:00Seminarraum FAV EG C (Seminarraum Gödel) Lecture/Exercise
Tue11.10.202209:00 - 11:00Seminarraum FAV 01 A (Seminarraum 183/2) Lecture
Wed12.10.202214:00 - 16:00Seminarraum FAV EG C (Seminarraum Gödel) Lecture/Exercise
Tue18.10.202209:00 - 11:00Seminarraum FAV 01 A (Seminarraum 183/2) Lecture
Wed19.10.202214:00 - 16:00Seminarraum FAV EG C (Seminarraum Gödel) Lecture/Exercise
Tue25.10.202209:00 - 11:00Seminarraum FAV 01 A (Seminarraum 183/2) Lecture
Tue08.11.202209:00 - 11:00Seminarraum FAV 01 A (Seminarraum 183/2) Lecture
Wed09.11.202214:00 - 16:00Seminarraum FAV EG C (Seminarraum Gödel) Lecture/Exercise
Wed16.11.202214:00 - 16:00Seminarraum FAV EG C (Seminarraum Gödel) Lecture/Exercise
Tue22.11.202209:00 - 11:00Seminarraum FAV 01 A (Seminarraum 183/2) Lecture
Wed23.11.202214:00 - 16:00Seminarraum FAV EG C (Seminarraum Gödel) Lecture/Exercise
Tue29.11.202209:00 - 11:00Seminarraum FAV 01 A (Seminarraum 183/2) Lecture
Wed30.11.202214:00 - 16:00Seminarraum FAV EG C (Seminarraum Gödel) Lecture/Exercise
Tue06.12.202209:00 - 11:00Seminarraum FAV 01 A (Seminarraum 183/2) Lecture
Wed07.12.202214:00 - 16:00Seminarraum FAV EG C (Seminarraum Gödel) Lecture/Exercise
Tue13.12.202209:00 - 11:00Seminarraum FAV 01 A (Seminarraum 183/2) Lecture
Wed14.12.202214:00 - 16:00Seminarraum FAV EG C (Seminarraum Gödel) Lecture/Exercise
Tue20.12.202209:00 - 11:00Seminarraum FAV 01 A (Seminarraum 183/2) Lecture
Wed21.12.202214:00 - 16:00Seminarraum FAV EG C (Seminarraum Gödel) Lecture/Exercise

Examination modalities

  • Solve and hand-in exercise sheets with theoretical questions
  • Implementation of algorithms (optional)
  • Present and discuss the course content in an oral exam

The oral exam counts for 70% of the grade, the exercise coursework for 30%.

Course registration

Begin End Deregistration end
01.09.2022 00:00 11.10.2022 23:59 18.10.2022 23:59

Group Registration

GroupRegistration FromTo
Exercise group04.10.2022 09:0012.10.2022 23:59

Curricula

Literature

No lecture notes are available.

Previous knowledge

A solid knowledge of the design and analysis of algorithms is recommended.

Language

English