Formulations of composite parametric cubic curves and circle approximations

Abstract

The parametric cubic curve is a well-developed subject in the field of computer-aided design. Yet there are still some aspects of its nature that need to be more fully investigated. In this paper, formulations of composite PC curves are presented in an order of increasing rigorousness and order of accuracy. A unique PC curve formulation is developed for the practical use in circle approximation. This PC curve has a 3rd-order accuracy and merits of simplicity and ease of use. Copyright (C) 1996 Elsevier Science Ltd