Rational Bezier form of hodographs of rational Bezier curves and surfaces

Applications of rational Bezier curves or surfaces often require the comput ation of derivatives. Even though there are several algorithms or represent ations for the derivatives of rational Bezier curves or surfaces, their adv antages and disadvantages have not been explicitly discussed from the viewp oint of computational requirements. This paper presents the representation of the hodographs of rational Bezier curves and surfaces in rational Bezier curves and surfaces with appropriat e degrees. In addition, this paper presents the evaluation of the performan ces of different representations. (C) 2001 Elsevier Science Ltd. All rights reserved.