Prerequisites: Numerical analysis, programming skills. Having taken the course Computer Graphics is an advantage but not a requirement.

The course is geared towards graduate students in applied mathematics and in computer science. Third-year undergrads are welcome.

The students will learn and implement mathematical methods for the representation and manipulation of 3D geometric models. The following topics will be covered:

• Bezier curves and surfaces
• B-splines, NURBS
• Tensor product surfaces
• Subdivision methods for curves and surfaces.
• Geometric smoothness and continuity.
• Blend surfaces, Coon's patch, Ruled surfaces
• RBF and MLS aproximations for surfaces

Draw Bezier Laurent analysis Subdivision-presentation MLS-presentation

Recommended books:

1. Curves and Surfaces for Computer-Aided Geometric Design (4th ED) -- Gerald E. Farin
2. Computer Aided Geometric Design -- Josef Hoschek / Dieter Lasser
3. Geometric Concepts for Geometric Design -- Wolfgang Boehm / Hartmut Prautzsch
4. The NURBS Book -- Les A. Piegl, W. Tiller
5. A Practical Guide to Splines -- Carl de Boor
6. Bezier and B-Spline Techniques -- H. Prautzsch / W. Boehm / M. Paluszny