INTERPOLATORY RATIONAL CUBIC SPLINE WITH BIASED, POINT AND INTERVAL TENSION

A description and analysis of an interpolatory rational cubic spline curve is made for use in CAGD. This rational spline provides not only a computationally simple alternative to the exponential based spline under tension [1-4] but also provides a C2 alternative to the well known existing GC2 or C1 methods like cubic nu-spline of Nielson [5], gamma-splines of Boehm[6] and weighted nu-splines [7]. The method also recovers the rational spline with tension[8] as a special case. Two shape parameters are introduced in each interval that provide a variety of shape controls like biased, point, and interval tensions.