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Article Information:
Shape Preserving Interpolation using Rational Cubic Spline
Samsul Ariffin Abdul Karim and Kong Voon Pang
Corresponding Author: SAMSUL ARIFFIN BIN ABDUL KARIM
Submitted: January 10, 2014
Accepted: February 15, 2014
Published: July 10, 2014 |
Abstract:
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This study proposes new C1 rational cubic spline interpolant of the form cubic/quadratic with three shape parameters to preserves the geometric properties of the given data sets. Sufficient conditions for the positivity and data constrained modeling of the rational interpolant are derived on one parameter while the remaining two parameters can further be utilized to change and modify the final shape of the curves. The sufficient conditions ensure the existence of positive and constrained rational interpolant. Several numerical results will be presented to test the capability of the proposed rational interpolant scheme. Comparisons with the existing scheme also have been done. From all numerical results, the new rational cubic spline interpolant gives satisfactory results.
Key words: Continuity, parameters, positivity preserving, rational cubic spline, shape preserving, ,
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Cite this Reference:
Samsul Ariffin Abdul Karim and Kong Voon Pang, . Shape Preserving Interpolation using Rational Cubic Spline. Research Journal of Applied Sciences, Engineering and Technology, (2): 167-178.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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