Hauptinhalt

Mathematical Methods in CAD (Summer School 2012)

Course number: 010724

Schedule

Lecture: Prof. Dr. J. Stöckler

Course content

Geometric design of the physical wold is an ingredient of the solution of many engineering problems. The course gives an introduction into several mathematical concepts and algorithms, which support the design of curves and surfaces. Specifically, we study

• Bezier curves
• polynomial splines
• rational splines (NURBS)

and describe their properties, such as geometric continuity, shape preservation, and refinability. Some insight into interpolation and approximation by spline functions will be given as well. Similar conepts are discussed for surface design.

Prerequisites

• Knowledge of Calculus and Linear Algebra
• Basic programming skills, preferably Matlab or Maple

Literature and Software

• J. Hoschek, D. Lasser: Fundamentals of Computer Aided Geometric Design, AK Peters, 1993
• alternatively, Matlab Student Version (2012), cost approx. 100 EURO,
• OR
• free software Octave (www.octave.org); has sufficient functionality and almost same syntax