Shape-Preserving Interpolation by Parametrically Defined Curves

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1988 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 25, pages 1,453-1,465 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Goodman, T. N. T.; Unsworth, K.;

doi: 10.1137/0725085

Shape-Preserving Interpolation by Parametrically Defined Curves

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Abstract

Criteria are discussed for interpolation which preserves local convexity and local monotonicity. Particular schemes are given for interpolation by parametric piecewise polynomials. The interpolating curves can have any desired order of geometric continuity and they are convex in a region where the data are convex. The case that the data arise from a function is considered and in which the curve can also preserve local monotonicity.

Keywords

parametric piecewise polynomials, local convexity, Numerical interpolation, shape-preserving, local monotonicity, geometric continuity, spline, Interpolation in approximation theory, interpolation, Numerical computation using splines

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