.
Absage mündliche Prüfungen
Zeit:
13.03. bis 20.04.2020
Wegen des Corona-Virus sind alle Prüfungen an der OVGU bis 20.04.2020
ausgesetzt. Dies betrifft auch die noch ausstehende mündlichen Prüfungen
CAGD. Dieser werden auf unbestimmte Zeit verschoben.
Sobald mehr Klarheit herrscht, werden wir neue Termine ausmachen.
Studierende, für die dies ein Härtefall darstellt, melden sich bitte per eMail bei Prof.
Theisel.
| Date | Information |
| 03-02-2019 | Uploaded final point overview |
|---|---|
| 27-01-2020 | Uploaded slides Surface Interrogation and Subdivision Surfaces |
| 22-01-2020 | Uploaded sheet for Exercise 7 |
| 22-01-2019 | Uploaded new point overview |
| 20-01-2019 | Uploaded slides Triangular Surfaces |
| 15-01-2019 | Uploaded new Point Overview and solution for Exercise 6.5 – C3-continuity |
| 08-01-2019 | Uploaded sheet for Exercise 6 and new point overview |
| 16-12-2019 | Uploaded slides Tensor Product Surfaces |
| 11-12-2019 | Uploaded sheet for Exercise 5 |
| 02-12-2019 | Uploaded slides Further Schemes and Parametric Surfaces |
| 27-11-2019 | Uploaded sheet for Exercise 4 |
| 25-11-2019 | Uploaded slides Rational Curves and Conic Sections |
| 18-11-2019 | Uploaded slides Polarforms |
| 13-11-2019 | Uploaded sheet for Exercise 3 |
| 11-11-2019 | Uploaded slides B-Spline |
| 04-11-2019 | Uploaded slides Proof Cubic C2 Splines Minimize Bending Energy |
| 30-10-2019 | Uploaded slides Bezier Spline and sheet for Exercise 2 |
| 16-10-2019 | Uploaded slides DeCasteljau and Bernstein and sheet for Exercise 1 |
| 15-10-2019 | Uploaded fixed slides Introduction and Parametric Curves |
| 14-10-2019 | Uploaded slides Introduction and Parametric Curves |
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.
Lecturer:
Prof. Holger Theisel, Dipl.-Ing. Thomas Wilde
Dates:
German Lecture (Theisel, Wilde):
Monday, 13:00 - 15:00, G29-335
Wednesday, 15:00 - 17:00, G29-335
Monday, 13:00 - 15:00, G29-335
Wednesday, 15:00 - 17:00, 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
