A class of single-valued curves in polar coordinates, which we refer to as p-Bézier curve, has been recently presented by Sánchez-Reyes and independently discovered by P. de Casteljau. From their definition 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 efficient implementation of it. © 1998 Elsevier Science B.V.
Casciola G., Morigi S., Sanchez-Reyes J. (1998). Degree elevation for p-Bézier curves. COMPUTER AIDED GEOMETRIC DESIGN, 15(4), 313-322 [10.1016/S0167-8396(97)00034-4].
Degree elevation for p-Bézier curves
Casciola G.;Morigi S.;
1998
Abstract
A class of single-valued curves in polar coordinates, which we refer to as p-Bézier curve, has been recently presented by Sánchez-Reyes and independently discovered by P. de Casteljau. From their definition 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 efficient implementation of it. © 1998 Elsevier Science B.V.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
