Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2014 (2014), Article ID 872637, 12 pages.
Local Control of the Curves Using Rational Cubic Spline
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 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.
J. Appl. Math., Volume 2014 (2014), Article ID 872637, 12 pages.
First available in Project Euclid: 2 March 2015
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Abdul Karim, Samsul Ariffin; Voon Pang, Kong. Local Control of the Curves Using Rational Cubic Spline. J. Appl. Math. 2014 (2014), Article ID 872637, 12 pages. doi:10.1155/2014/872637. https://projecteuclid.org/euclid.jam/1425305569