A description and analysis of an interpolatory rational cubic spline curve is made for use in computer graphics. The generalized rational cubic pieces are stitched together with a most general form of continuity. The parameters in the description of rational cubics as well as the geometric continuity provide a variety of shape control. This rational spline provides not only a computationally simple alternative to the exponential-based spline under tension [1–3] but also recovers the number of spline methods like the rational spline methods [4–6], the well-known existing GC² or C¹ methods like cubic ν-spline of Nielson [7], γ-splines of Boehm[8] and weighted ν-splines[9], etc.