Oral Examinations

2nd February and 15th February


Date Information
30-01-2018 Uploaded final point overview.
18-01-2018 Uploaded sheet for Bonus Exercise 7.
15-01-2018 Uploaded new slides.
11-01-2018 Uploaded sheet for Exercise 6.
10-01-2018 Uploaded new slides.
22-12-2017 Updated point overview.
19-12-2017 Uploaded additional material for Exercise04.
18-12-2017 Uploaded new slides TriangularSurfaces and DeCasteljau paper.
13-12-2017 Uploaded sheet for Exercise 5.
11-12-2017 Updated point overview and uploaded new slides Tensorproduct Surfaces.
04-12-2017 Uploaded new slides Parametric Surfaces.
30-11-2017 Uploaded sheet for Exercise 4.
28-11-2017 Uploaded updated point overview.
20-11-2017 Uploaded new slides for Polarforms,
Conic Sections and Rational Curves
15-11-2017 Uploaded sheet for Exercise 3.
13-11-2017 Uploaded new slides B-Splines.
09-11-2017 Uploaded additional material for exercises and point overview.
01-11-2017 Uploaded sheet for Exercise 2.
19-10-2017 Uploaded sheet for Exercise 1.
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.

Note: The first class takes place on Monday, * October 16th! *
Prof. Holger Theisel, Dipl.-Ing. Thomas Wilde
Monday, 13:00 - 15:00, G29-335
Wednesday, 15:00 - 17:00, 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