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*.
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Oral Examinations
Zeit:
Wednesday, 27th February AND Friday, 15th March
Ort:
G29-217
- in the office (G29-218) lists with time slots are available
- please fill in your name to sign up for the exam
Consultation
Zeit:
Wednesday, 30th January, 15:00 - 17:00
Ort:
G29-335
| 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
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
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
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:
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
