Netbased Modeling

B. Garz, L. Linsen, H. Prautzsch

Complex three-dimensional objects are usually represented by interpolating nets or by freeform surfaces, which are based on control nets.To avoid approximate and numerical methods for union, intersection or difference of such objects, an easier new approach was examined, which executes these modelling operations on the underlying discrete nets. The resulting nets, whose blendings can be rounded off if required, will then describe the modelled objects. Similarly nets can be trimmed along curves, which lie on the surfaces represented by the nets.

Union of two control nets	C²-Spline surface based on two united control nets	Iterated union
1 cube and 3 cylinders according to CSG	Rounding of the blendings	Trimmed net of a quadratic surface