Geometric Modelling 

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