Geometric Modelling 

  • Lecturer: Prof. Dr.-Ing. Marc Stamminger
  • Term: Winter Term 2011/2012
  • Time, Place: Wed 10:15-11:45 NMI-01.150 (01.150) / Cauerstr. 11 / 91058 Erlangen, Wed 10:15-11:45 01.255-128 (01.255) / Cauerstr. 11 / 91058 Erlangen, Thu 09:15-10:00 NMI-01.150 (01.150) / Cauerstr. 11 / 91058 Erlangen, Thu 09:15-10:00 01.255-128 (01.255) / Cauerstr. 11 / 91058 Erlangen
  • Hours: 3 SWH
  • Field of Study: WPF CE-BA-TW, WPF CE-MA-INF, WPF INF-MA
  • Prerequisites: Special Study, benoteter Schein, ECTS (5)

Summary

This lecture is concerned with different aspects of modelling three-dimensional curves and surfaces. Typical areas of application are computer-aided design (CAD), reconstruction of surfaces from sensor data (reverse engineering) and construction of smooth interpolants. The lecture covers the following topics:

  • polynomial curves
  • Bézier curves, rational Bézier curves
  • B-splines
  • tensor product surfaces
  • triangular Bézier surfaces
  • polyhedral surfaces

Literature

  • Bartels, Beatty, Barsky: Splines for Use in Computer Graphics
    • and Geometric Modeling
  • de Boor: A Practical Guide to Splines
  • Farin: Curves and Surfaces for Computer Aided Geometric Design
  • Hoschek, Lasser: Fundamentals of Computer Aided Geometric Design

Tutorials

  • Mon 10:15-11:45, H5 (01.104)
  • Mon 10:15-11:45, NMI-01.151 (01.151) / Cauerstr. 11 / 91058 Erlangen
  • Tue 08:15-09:45, NMI-01.151 (01.151) / Cauerstr. 11 / 91058 Erlangen
  • Tue 08:15-09:45, Übung 3 / 01.252-128 (01.252) / Cauerstraße 11 / 91058 Erlangen
  • Thu 10:00-12:00, 02.151b Graphik (CIP-Pool Informatik, Graphikmaschinen) / Martensstr. 3 / 91058 Erlangen

Organizational

Acquisition of a graded certificate by doing exercises This lecture is given in German language