Institut für Angewandte Mathematik
Lehrstuhl für Approximationstheorie
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Mathematical Methods of Computer Aided Design


The exam is on Wednesday (July 11), 10:00-12:00 in M/1011. For the students Mr. Lee provides office hours daily 13:30-14:30 from July 5 (Thursday) to July 10 (Tuesday).

Teaching Staff:

Lecture:     Prof. Dr. Joachim Stöckler
Section time and place:    
  • Monday, 10:15-11:45, M/1011
  • Wednesday, 10:15-11:45, M/1011


Tutorial:     M.S. Kyoung-Yong Lee
Section time and place:    
  • Wednesday, 14:15-15:45, M/919


Prerequisites:  Numerical Analysis, knowledge about Matlab.

Content of the lecture:

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.


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

Next continuative lecture: Multivariate Interpolation and Approximation (Winter semester 2007/08)

Lecture notes in PDF format:
Ch1 Ch2(updated) Ch3(updated) Ch4(new)

Assignments in PDF format:
HW#1 HW#2 HW#3 HW#4 HW#5

Matlab files:
bernstein decast decast2 beziersubdiv2 polar2 bezier2 beziercur_subdiv bezier1 bspval

  All rights reserved: Kyoung-Yong Lee     last updated on 09. July 2007
  To the University of Dortmund     To the Department of Mathematics