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    Electronic Resource
    Electronic Resource
    Smooth-curve interpolation: A generalized spline-fit procedure (1966)
    Springer
    BIT 6 (1966), S. 277-293 
    Details
    ISSN: 1572-9125
    Keywords: Interpolation ; spline ; curve
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A method is presented for finding the smoothest curve through a set of data points. “Smoothest” refers to the equilibrium, or minimum-energy configuration of an ideal elastic beam constrained to pass through the data points. The formulation of the smoothest curve is seen to involve a multivariable boundary-value minimization problem which makes use of a numerical solution of the beam non-linear differential equation. The method is shown to offer considerable improvement over the spline technique for smooth-curve interpolation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01966089
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