Approximation using rational splines with adjustable tension

Prabhu, DK and Dwarakanath, GS and Suresh, BM (1993) Approximation using rational splines with adjustable tension. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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    Abstract

    An interpolation procedure using the rational spline approximation is presented . The rational spline contains an adjustable tension parameter for each pair of uccessive knots such that in the limit of zero tension, the spline reduces to a conventional cubic spline and in the limit of infinite tension the spline reduces to a straight line . The procedure for adjusting the tension parameters is completely automated such that by adjusting the tension it is possible to achieve the quot;bestquot; fit (in a least-squares sense) of the data .A detailed derivation of the algorithm is presented along with its procedural implementation.the method is successfully implemented on a computer and tested for two cases . Recommendations are made for further extension and application of this method.

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Interpolation;Adjustable splines;Rational splines;Tension; Least-squares method
    Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
    Division/Department: Computational and Theoretical Fluid Dynamics Division, Computational and Theoretical Fluid Dynamics Division, Computational and Theoretical Fluid Dynamics Division
    Depositing User: Mr. N A
    Date Deposited: 28 Jun 2006
    Last Modified: 24 May 2010 09:42
    URI: http://nal-ir.nal.res.in/id/eprint/1587

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