Approximation of circular arcs by parametric polynomial curves

In this paper the approximation of circular arcs by parametric polynomial curves is studied. If the angular length of the circular arc is h , a parametric polynomial curve of arbitrary degree n ∈ℕ , which interpolates given arc at a particular point, can be constructed with radial distance bounded by h 2 n . This is a generalization of the result obtained by Lyche and Mørken for odd n .