Local Control of the Curves Using Rational Cubic Spline | Zendy

Samsul Ariffin Abdul Karim | Zendy; Kong Voon Pang | Zendy

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Local Control of the Curves Using Rational Cubic Spline

Author(s) -

Samsul Ariffin Abdul Karim,

Kong Voon Pang

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/872637

Subject(s) - inflection point , monotone cubic interpolation , convexity , quadratic equation , bounded function , spline (mechanical) , smoothing spline , rational function , mathematics , spline interpolation , control point , computer science , algorithm , mathematical analysis , geometry , statistics , physics , trilinear interpolation , financial economics , economics , bilinear interpolation , thermodynamics

This paper discussed the local control of interpolating function by using rational cubic spline (cubic/quadratic) with three parameters originally proposed by the authors. The rational spline has C1 continuity. The bounded properties of the rational cubic interpolants and shape controls of the rational interpolants are discussed in detail. The value control, inflection point control, and convexity control at a point by using the proposed rational cubic spline are constructed. Several numerical results are presented to show the capability of the method. Numerical comparisons with the existing scheme are also further elaborated. From the results, it was indicated that the scheme works well and it is comparable with the established existing scheme

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