Abstract
This chapter contains an overview of the basic approaches for modelling three-dimensional objects. Since modelling of surfaces of objects is of great importance in computer graphics, special attention is given to this. Often the (curved) surfaces of objects are approximated by planar polygons. Triangles are particularly well suited for this. In modern graphics processors, the tessellation unit can decompose a curved surface into planar polygons independently from the central processing unit. Freeform surfaces are well suited for modelling curved surfaces of three-dimensional objects and can be used as starting point for this decomposition. Therefore, this chapter presents the basics of freeform surface modelling. Special attention is paid to the normal vectors of the surfaces, as these are crucial for the calculation of illumination effects of the surfaces of objects.
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