New shape control tools for rational Bézier curve design

Abstract Bezier curves are indispensable for geometric modelling and computer graphics. They have numerous favourable properties provide the user with intuitive tools editing shape of a parametric polynomial curve. Even more control flexibility can be achieved by associating parameter each point considering rational curves, which comes additional advantage being able to represent all conic sections exactly. In this paper, we explore possibilities that arise from expressing curve in barycentric form. particular, show how convert back forth between form, discuss effects modifying constituents (nodes, interpolation points, weights) study connection insertion form degree elevation Moreover, analyse performance evaluating