Fairing point sets using curvature

Planar curves “suggested” by sequences of points are considered. A method is discussed for refining the sequence iteratively so that the fairness of the curve is improved while maintaining the basic form and features. This involves the use of intrinsic coordinates and works by smoothing the curvature plot and then integrating twice to recover the curve. Modifications are made during this process to ensure that individual subsegments run correctly between their end points and join smoothly.