2009•Computer Engineering and Applications JournalRequires access

Shape control of weighted rational cubic spline

Jin Xie

Abstract

In this paper,a kind of weighted rational cubic spline interpolation is constructed using the rational cubic spine with cubic polynomial denominators and the rational cubic spline based on function values.The shape control of the weighted rational cubic spline is studied,the sufficient conditions for the interpolating curves to be constrained in the given region are derived.An example is given in the end of this paper.

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Key concepts: Monotone cubic interpolation, Spline interpolation, Cubic Hermite spline, Cubic function, Cubic form, Mathematics, Smoothing spline, Spline (mechanical)