Abstract

AbstractShape preserving interpolation is studied well in polynomial interpolation. The aim of this paper is to give a local interpolation method. The local interpolation is presented by using the cubic non-uniform rational B-spline curves. The generated interpolation curve can be continuous and has a local shape parameter. Based on the convexity of the cubic non-uniform rational B-spline curves, the convexity of the given interpolation curves is discussed . Some computed examples of the interpolation curves are given.KeywordsNURBS curveinterpolationconvexity

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