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:
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*.
Lecturer:
Prof. Holger Theisel, Michael Motejat, M.Sc., Dipl.-Ing. Thomas Wilde
Dates:
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
Classification:
Vorlesung/Übung, 4SWS, ECTS-Credis: 5

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

Content:

  • 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
Exercises
Additional Material
Recent news:
14.11.2018

Research Seminar Announcement

In the course of the Visual Computing research seminar Dr. Rhaleb Zayer from MPI Informatik Saarbrücken will give a talk with a subsequent discussion about the topic The frugal beauty of natural tessellations in the language of linear algebra.

We would like to invite everyone interested to join us. The research seminar will take place on Friday 23.11.2018, 13:15 in G29-R335.

To the overview…