The subject is focused on the mathematical theory of the curves and surfaces in computer graphics and their visualisation. The Rhinoceros - NURBS modelling for Windows is used to demonstrate the geometrical properties of the curves and surfaces.

1. Ferguson curve - definition, analytical and graphical representation, properties, applications.
2. Bézier curve - definition, analytical, graphical and CAD representation, properties, free form curves modelling, applications.
3. Coons, B-spline and NURBS curve - definition, analytical, graphical and representation, properties, free form curves modelling, applications.
4. Ferguson 12-vector patch - definition, analytical and graphical representation, applications.
5. Bézier surface - definition, analytical, graphical and CAD representation, applications.
6. Coons surface - definition, analytical, graphical and CAD representation, applications.
7. Patching - free form surfaces modelling with required continuity.

1. Rhinoceros I - helix and helicoidal surfaces modelling.
2. Free-form curves - analytical and graphical representation.
3. Rhinoceros II - free-form curves modelling.
4. Free-form surfaces - analytical and graphical representation.
5. Free-form surfaces - analytical and graphical representation - continuing.
6. Rhino III - free-form surface modelling.
7. Test. Assessments.

Linkeová, I.: Curves and Surfaces for Computer Graphics. CTU in Prague, 2012.

Free-form curve, free-form surface, Rhinoceros, continuity, patching.