Vorlesung im SS 2003

Geometric Modelling 1: Kurven und Flächen


Wann & wo?



Mo 8:00-9:30 Raum 36-265
Mi 10:00-11:30 Raum 13-305
Übung Mo 13:45 - 15:15 Raum 36-232
Beginn 28.04.2003
Inhalt


Affine Geometrie


Bezier-Kurven

B-Spline-Kurven


G-Spline-Kurven


Unterteilungskurven

Bezier-Dreiecksflächen


Tensorproduktflächen




Literatur


  • H. Prautzsch, W. Boehm, M. Paluszny: Bezier and B-Spline Techniques, Springer-Verlag, 2002.
  • M.P. do Carmo: Differentialgeometrie von Kurven und Flächen, vieweg, 1993.



weiterführende Literatur


  • D. Nairn, J. Peters, D. Lutterkort: Sharp, quantitative boundes on the distance between a polynomial piece and its Bezier polygon, CAGD, 16(7), 613-633, 1999.
  • U. Reif: Best bounds on the approximation of polynomials and splines by their control structure,CAGD, 17, 579-589, 2000.
  • W. Boehm: Smooth curves and surfaces. In: G. Farin (ed.), Geometric Modeling: Algorithms and New Trends, SIAM, 175-184, 1987.

© Georg Umlauf 
Last modified: 7th July 2003