Monotone Piecewise Bicubic Interpolation

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1980 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 22, pages 386-400 (issn: 0036-1429, eissn: 1095-7170,

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Authors: Fritsch, F. N.; Carlson, R. E.;

doi: 10.1137/0722023 , 10.1137/0717021

Monotone Piecewise Bicubic Interpolation

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Abstract

Given a set of monotone data values arranged over a rectangular grid, the authors present an algorithm that produces a \({\mathcal C}^ 1\) piecewise bicubic function which interpolates to the given data and which is monotone. Some sufficient conditions for monotonicity are translated to a system of linear inequalities, which is the basis of the algorithm.

Keywords

monotone data values, monotone piecewise cubic interpolation, Multidimensional problems, Numerical computation using splines, Spline approximation, Numerical interpolation, piecewise bicubic, Interpolation in approximation theory, bivariate interpolation

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