Degree elevation for p-Bézier curves

A class of single-valued curves in polar coordinates, which we refer to as p-B ezier curve, has been recently presented by SS anchez-Reyes and independently discovered by P.de Casteljau. From their deenition and expression in terms of the Fourier basis it is obvious that every curve of degree n can be expressed as a curve of degree kn, for any natural value k. In this paper, we provide a formula for degree elevation and we describe a simple and eecient implementation of it.