Computational Geometry
| Weekly hours: 2 lecture + 1 exercise Exam mode: written Frequency: annually (winter term) Credit Points: 4, graded | Current term |
Objectives
Practical introduction to mathematical methods of geometrical modelling, particularly geodesic curves on surfaces.
This lecture addresses master students and diploma students after their intermediate diploma which have attended the basic lectures of mathematics. In the lecture-accompanying exercise, the participants get the opportunity to deepen the subjects of the lecture.
Contents
Students are supposed to have basic knowledge of differential calculus and linear algebra to be able to follow the lecture.
The lecture should be understood as introduction to the geometrical modelling of curves and surfaces, in particular about shortest ways and geodesics. First a representation of the necessary elements is given with concepts from differential geometry. Focus will be given to applicability of the presented concepts in an engineering context and to a lesser extent to mathematical formulation and criteria.
Literature
Fundamental textbooks, which are suitable as term-accompanying read:
- M. P. do Carmo
Differential Geometry of Curves and Surfaces
Vieweg, Braunschweig, 3. Aufl. 1993 - Wolfgang Kühnel
Differential Geometry
Vieweg, 3. Aufl. 2005 - G. Farin
Curves and Surfaces for Computer Aided Geometric Design
Academic Press, New York, 3. ed. 1993 - J. Hoschek, D. Lasser
Fundamentals of Geometric Data Processing
Teubner, Stuttgart, 1989
