Abstract
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 GC 2 or C 1 methods like cubic ν-spline of Nielson [7], γ-splines of Boehm[8] and weighted ν-splines[9], etc.
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