An algorithm for convexity-preserving surface interpolation
type: Item
instance of: scholarly article
title: An algorithm for convexity-preserving surface interpolation
zbMATH Open document ID: 0823.65012
DOI: 10.1007/BF01578387
author: Rafhat Iqbal
published in: Journal of Scientific Computing
publication date: 1995-05-30T00:00:00Z
review text: The problem solved in this paper is that of determining a surface which interpolates the given data and which preserves convexity and monotonicity along grid lines. The algorithm is based on the Roulier method and finally numerical results showing the performance of the method are presented.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 65D15
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 41A29
zbMATH DE Number: 759455
zbMATH Keywords: convexity-preserving surface interpolation
zbMATH Keywords: surface
zbMATH Keywords: convexity
zbMATH Keywords: monotonicity
zbMATH Keywords: Roulier method
zbMATH Keywords: numerical results
zbMATH Keywords: performance
reviewed by: Nicolae Ţăndăreanu
describes a project that uses: pchip
MaRDI profile type: Publication
cites work: Monotonicity Preserving Surface Interpolation
cites work: Monotone Piecewise Bicubic Interpolation
cites work: An Algorithm for Monotone Piecewise Bicubic Interpolation
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cites work: Co-Monotone Interpolating Splines of Arbitrary Degree—a Local Approach
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cites work: Accurate $C^2$ Rational Interpolants in Tension
cites work: A Method for Constructing Local Monotone Piecewise Cubic Interpolants
cites work: Monotone Piecewise Cubic Interpolation
cites work: A one-pass algorithm for shape-preserving quadratic spline interpolation
cites work: An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline
cites work: On Shape Preserving Quadratic Spline Interpolation
full work available at URL: https://doi.org/10.1007/bf01578387
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description: scientific article; zbMATH DE number 759455