Two Methods of Object Designing by Rational Splines

Object designing has a significance importance in the field of Computer-Aided Design (CAD), Computer-Aided Geometric Design (CAGD) and Computer-Aided Manufacturing (CAM). In this paper, two techniques for the designing of 2D objects are developer. These are based on rational cubic spline interpolant and rational quadratic spline interpolant with shape parameters controlling the shape of the curve in the description of rational functions. It is shown that a piece of curve designed using rational cubic spline interpolant can be presented by two segments of rational quadratic spline interpolant. The developed schemes are simple, local and computationally inexpensive.