We want to give an overview on our methods for fairing B-spline curves and surfaces. 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.
Advance Course on FAIRSHAPE, B.G. Teubner Stuttgart, 1996, 59-75.