DR. JAN HADENFELD
		Fairing of B-Spline Curves and Surfaces Jan Hadenfeld Technische Hochschule Darmstadt Abstract: We want to give an overview on our methods for fairing B-spline curves [7] and surfaces [16]. The extension to Bézier-splines and rational curves and surfaces will be described as well. These methods are fairing a curve or surface in a local scheme. Changing only one control point in every step and using a quadratic fairness functional the main advantage is that we can determine an exact solution of this new control point in every step and that we simply can fulfill a given distance tolerance. Introduction Fairing of B-Spline Curves The New Control Point The Ranking-List Distance Tolerance The Algorithm Examples Extension to sets of Bézier- and B-Spline Curves Example Fairing of Rational B-Spline Curves Examples Fairing of B-Spline Surfaces Examples Extension to sets of Bézier- and B-Spline Surfaces Example Conclusion Acknowledgment Bibliography