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Mathematical Methods in CAD (Summer School 2012)


Course number: 010724
Module: see Course catalog


Schedule

Lecture: Prof. Dr. J. Stöckler

  • Mon 08:15-09:45 M511
  • Thu 10:15-11:45 M911

Tutorial:
  • Tue 16:00-17:30 M911


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


Homework

  • Weekly assignments consist of 3-4 problems. They are due the following Monday at 10 am.
  • Homework Assignments: #1, #3, #4,


Examination

  • The homework counts towards the final grade. There will be a take-home exam in the week of July 9-14, with mathematical problems and programming problems.


Current Issues

  • the next tutorial session will be held on Tuesday, June 19. So there will be no session next week.


Course Material


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