Institut für Angewandte Mathematik
Lehrstuhl für Approximationstheorie
 
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Mathematische Methoden des Computer Aided Design



 
 
Vorlesung:    
  • Dienstag, 10:15-11:45, M/511
  • Donnerstag, 10:15-11:45, M/1011
Übung:    
  • Mittwoch, 14:15-15:45, M/511

Kontakt:



Vorkenntnisse:  Numerische Mathematik I, Matlab-Kenntnisse.

Inhalt der Vorlesung:

The course gives an introduction to the representation of geometrical objects in computer systems and their manipulation. The representation of curves and surfaces in various graphical systems is based on polynomials, splines and NURBS (non-uniform rational B-splines). The course gives an elementary introduction to the geometric properties of such representations and furnishes some mathematical background for geometrical algorithms such as: subdivision, projection, surface-surface intersection. Numerical techniques for data fitting by curves and surfaces are explained.

Literatur:

  • H. Prautzsch, W. Böhm, M. Paluszny, Bezier and B-Spline Techniques (Mathematics and Visualization), Springer-Verlag, 2001




Vorlesungs-Skript (kapitelweise, in Englisch):
Ch1 Ch2

Übungsblätter:
Blatt 1

Matlab files: