Circular splines
A circular spline is a \(C^ 1\) curve consisting of circular arcs which join at the knots \(P_ 1,\dots,P_ n\). The author considers the problem of interpolating a given point set (open or closed) in \(\mathbb{R}^ 2\) and \(\mathbb{R}^ 3\) by circular splines with knots at the interpolation points. The circular arcs are presented in terms of Bézier curves. He also presents an algorithm for approximation of point sets in \(\mathbb{R}^ 2\) consisting of \(n\) points by circular splines with \(m\) knots, \(m<n\).
scientific article; zbMATH DE number 85967