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Constrained control and approximation properties of a rational interpolating curve

By Qi Duan, K. Djidjeli, W.G. Price and E.H. Twizell


This paper deals with the convexity control and the strain energy control of interpolating curves using a rational cubic spline with linear denominator. The sufficient and necessary conditions for controlling the interpolating curve to be convex or concave are derived. When the function being interpolated is f(t)?C(3)[t0,tn], the error estimation of the interpolating function and the boundedness of the optimal error coefficient and its double symmetry with regard to parameters are obtained

Topics: QA, TA
Year: 2003
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Provided by: e-Prints Soton

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