Oral Examinations

Wednesday, 27th February AND Friday, 15th March


Additional information:

- in the office (G29-218) lists with time slots are available

- please fill in your name to sign up for the exam


Wednesday, 30th January, 15:00 - 17:00


Date Information
24-01-2019 Uploaded final Point Percentage Overview
21-01-2019 Uploaded new slides Subdivision Surfaces and Scattered Data Interpolation
16-01-2019 Uploaded sheet for Exercise 6
14-01-2019 Uploaded new slides Surface Interrogation
10-01-2019 Uploaded updated Point Overview
20-12-2018 Uploaded sheet for Exercise 5
18-12-2018 Uploaded new slides Triangular Surfaces and a Decasteljau-Paper
11-12-2018 Uploaded updated Point Overview
05-12-2018 Uploaded sheet for Exercise 4
05-12-2018 Uploaded new slides Parametric Surfaces (updated) and Tensor Product Surfaces
03-12-2018 Uploaded new slides Further Schemes and Parametric Surfaces
03-12-2018 Uploaded updated Point Overview
21-11-2018 Uploaded new slides Rational Curves,
Conic Sections and sheet for Exercise 3
18-11-2018 Uploaded new slides Polarforms
07-11-2018 Uploaded sheet for Exercise 2 and new slides B-Spline
29-10-2018 Uploaded new slides Bezier Spline
18-10-2018 Uploaded Additional Material for Exercise 1
15-10-2018 Uploaded new slides Bernstein
10-10-2018 Uploaded sheet for Exercise 1
08-10-2018 Uploaded new slides Introduction,
Parametric Curves and DeCasteljau
Computer Aided Geometric Design
In diverse applications (automotive industry, shipbuilding, design) freely deformable surfaces need to be designed in CAD environments and processed automatically. The underlying mathematical theory and practical aspects are summarized by the term CAGD (Computer-Aided-Geometric-Design). This lecture presents the most important approaches of modeling curves and surfaces. Geometric properties of these techniques will be discussed along with the practical experiences regarding the design of curves and surfaces.

We offer the lecture in both German (Monday, Wednesday) and English (Tuesday, Thursday).
The first classes take place on Monday, *October 8th* / Tuesday, *October 9th*.
Prof. Holger Theisel, Michael Motejat, M.Sc., Dipl.-Ing. Thomas Wilde
German Lecture (Theisel, Wilde):
Monday, 13:00 - 15:00, G29-335
Wednesday, 15:00 - 17:00, G29-335

English Lecture (Motejat):
Tuesday, 09:00 - 11:00, G29-335
Thursday, 09:00 - 11:00, G29-335
Vorlesung/Übung, 4SWS, ECTS-Credis: 5

WPF CV;B 4-6
WPF IF;B 3-6
WPF IngIF;B 4-6
IntDesEng;M 2-3
Basis knowledge in computer graphics, linear algebra.
Oral exam.
Correct solution of 2/3 of the assignments.
Correct solution of 2/3 of the assignments and oral exam.
Additional Information:
> Additional Information <


  • Differential geometry of curves and surfaces
  • Bezier curves
  • Bezier spline curves
  • B-Spline curves
  • Rational curves
  • Polar forms
  • Tensorproduct Bezier- and B-Spline surfaces
  • Bezier surfaces on triangles
  • Surface interrogation and fairing
  • Subdivision curves and surfaces

Recommended reading:

  • G. Farin. Curves and Surfaces for Computer-Aided-Geometric-Design. Morgan Kaufmann, 2002. Fourth edition.
  • G. Farin and D. Hansford. The Essentials of CAGD. AK Peters, 2000.
  • J. Hoschek and D. Lasser. Grundlagen der Geometrischen Datenverarbeitung. B.G. Teubner, Stuttgart, 1989. (English translation: Fundamentals of Computer-Aided-Geometric-Design, AK Peters.)
  • G. Farin. NURB Curves and Surfaces. AK Peters, Wellesley, 1995.
  • H.-P. Seidel. An Introduction to Polar Forms. IEEE Computer Graphics and Applications 13, 1, 1993
Lecture Slides
Additional Material
Recent news:

Research Seminar Announcement

In the course of the Visual Computing research seminar Jun.-Prof. Dr. Michael Sedlmair from Universität Stuttgart will give a talk with a subsequent discussion about the topic Machine Learning meets Visualization.

We would like to invite everyone interested to join us. The research seminar will take place on Friday 14.06.2019, 13:15 in G29-R335.

To the overview…