Lecture: Geometric Modeling I (Curves)
This course gives an introduction to the mathematical techniques used in geometric modeling and is part of the Vertiefungsfach "Computergraphik und Multimedia". We will mostly deal with the representation and application of curves in CAD. Surfaces will then be the topic of the follow-up course Geometric Modeling II (Surfaces).
Please note: With the introduction of the Master Course in Computer Science in Wintersemester 2008/09 the layout of the Computer Graphics 1+2 and Geometric Modeling 1+2 courses will slightly change (V3Ü2 instead of V4Ü2 or V2Ü2), but the contents will essentially be the same. Thus, diploma students can still easily chose the Vertiefungsfach Computergraphik und Multimedia.
Lecturer: | |
Contact: |
Contents:
- Functions, parametric curves, implicit curves
- Polynomials
- Splines
- Interpolation
- Approximation
- Optimization
Prerequisites:
Basic knowledge of linear algebra is recommended.
Lecture type:
V2 + Ü2
Lecture:
Tuesday, 15:00 - 16:30, AH V
Exercise course:
Thursday, 10:00 - 11:30, AH III, and
Thursday, 15:00 - 16:30, 6317
Assignment material
Scheinklausur:
Thursday, 7.2.2008, 15:00-16:30, 6317
Literature:
- G. Farin: Curves and surfaces for computer aided geometric design
- H.Prautzsch, W.Boehm, M.Paluszny: Bezier and B-Spline Techniques
- L.Piegl, W.Tiller: The NURBS Book
- A course on subdivision techniques
- Very preliminary lecture notes are also available.