A. K. Cline
Abstract
The spline under tension was introduced by Schweikert in an attempt to imitate cubic splines but avoid the spurious critical points they induce. The defining equations are presented here, together with an efficient method for determining the necessary parameters and computing the resultant spline. The standard scalar-valued curve fitting problem is discussed, as well as the fitting of open and closed curves in the plane. The use of these curves and the importance of the tension in the fitting of contour lines are mentioned as application.
- 1 Ahlberg, J.H., Nilson, E.N., and Walsh, J.L. The Theory of Splines arm Their Applications. Academic Press, New York, 1967.Google Scholar
- 2 Cline, A.K. Algorithm 476--Six subprograms for curve fitting using splines under tension. Comm. ACM 17, 4 (Apr. 1974), 220-223. Google ScholarDigital Library
- 3 Schweikert, D.G. An interpolation curve using a spline in tension. J. Math. and Physics 45 (1966), 312 317.Google ScholarCross Ref
Index Terms
- Scalar- and planar-valued curve fitting using splines under tension
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