Approximation and Geometric Coputing mit höherwertigen Beschreibungen geometrischer Objekte (AGARGO)

The project is devoted to advanced geometric representations, in particular to Pythagorean hodograph (PH) curves and to surfaces in support function representation. Compared to standard representations of geometry, the use of advanced ones provides additional geometric properties, such as the availability of exact offset curves and surfaces or of exact arc length functions. The project is to produce new scientific results concerning the mathematical foundations of these representations.