DR. JAN HADENFELD
		Conclusion With this contribution we have given an overview of our methods for fairing B-spline curves and surfaces. The main idea was to minimize a quadratic fairness functional in a local scheme. Changing only one control point in each step, solutions are given to smooth B-splines of general order and with general knot-vectors fulfilling a given distance tolerance. Two strategies have been described for fairing sets of Bézier- and B-spline curves or surfaces. We came to the conclusion that if the curves or surfaces contain a large number of control points the better method would be to remove inner knots in order to get a $C^1$ continuity and then fairing with our normal method. One possible extension to rational B-splines by using this method has been described as well.