first lecture: 26.October 2020

Additional information:

The lectures and exercises will be completely digital.

You have to register an account on to participate in lectures and exercises and get access to the zoom meetings.


Fri. 05.03.2021 10.00-16.00 and Fri. 12.03.2021 10.00-16.00

remote via Zoom

Additional information:

To register for the exam please send a registration mail to
Please include the following information:

- matriculation number

- full name

- preferred date

Our office will then assign you an exam time slot and send you the login information for the zoom room.

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.
Prof. Holger Theisel, Michael Motejat, M.Sc.
German Lecture (Theisel, Motejat):
Monday, 13:00 - 15:00
Friday, 13:00 - 15:00
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:
> Lecture website <


  • 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