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Interpolatory rational cubic spline with biased, point and interval tension

Authors
Journal
Computers & Graphics
0097-8493
Publisher
Elsevier
Publication Date
Volume
16
Issue
4
Identifiers
DOI: 10.1016/0097-8493(92)90030-y
Disciplines
  • Computer Science

Abstract

Abstract 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 C 2 alternative to the well known existing GC 2 or C 1 methods like cubic v-spline of Nielson[5], γ-splines of Boehm[6] and weighted v-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.

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