Projektive Räume, Quadriken, rationale Kurven, rationale Bezier- und Spline-Techniken, NURBS, duale Kurven, duale Bezier- und B-Spline-Darstellung, Parallelkurven und -flächen, Parametrisierung von Quadriken, Dreiecksflächen auf Quadriken, Zykliden.

Literatur

• Boehm, Prautzsch: Geometric Concepts for Geometric Design, AK Peters 1994.
• Pottmann, Wallner. Computational Line Geometry. Springer 2001
• Paluszny, Prautzsch, Schäfer: A geometric look at corner cutting.

Weitere

• Farin: NURBS for Curve and Surface Design, 2nd edition, AK Peters 1999.
• Piegl, Tiller: The NURBS book, Springer 1997.
• Farouki: Pythagorean Hodograph Curves. Springer 2008
• Jüttler, Piene (eds.) Geometric Modelling and Algebraic Curves. Springer 2008
• Pottmann, Asperl, Hofer, Kilian. Architectural Geometry. Bentley 2007
• Blaschke. Projektive Geometrie. Birkhäuser 1954