Abstract
Shape 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.
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Chen, L., Zhang, X., Li, M. (2010). Cubic NURBS Interpolation Curves and Its Convexity. In: Zhu, R., Zhang, Y., Liu, B., Liu, C. (eds) Information Computing and Applications. ICICA 2010. Communications in Computer and Information Science, vol 105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16336-4_65
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DOI: https://doi.org/10.1007/978-3-642-16336-4_65
Publisher Name: Springer, Berlin, Heidelberg
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