A method for computing the tension parameters in convexitity-preserving spline-in-tension interpolation
type: Item
instance of: scholarly article
title: A method for computing the tension parameters in convexitity-preserving spline-in-tension interpolation
zbMATH Open document ID: 0636.65010
DOI: 10.1007/BF01396973
author: P. D. Kaklis
author: T. A. Loukakis
author: Nickolas S. Sapidis
published in: Numerische Mathematik
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133312
review text: This paper is concerned with the problem of convexity-preserving (or c- preserving) interpolation by using exponential splines in tension (or EST's). For this purpose the notion of a c-preserving interpolant, which is usually employed in spline-in-tension interpolation, is refined and the existence of c-preserving EST's is established for the so-called c- admissible data sets. The problem of constructing a c-preserving and visually pleasing EST is then treated by combining a generalized Newton- Raphson method, due to Ben-Israel, with a step-length technique which serves the need for ``visual pleasantness''. The numerical performance of the so formed iterative scheme is discussed for several examples.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 4037014
zbMATH Keywords: convextity-preserving interpolation
zbMATH Keywords: exponential splines in tension
zbMATH Keywords: c- admissible data sets
zbMATH Keywords: Newton-Raphson method
zbMATH Keywords: visual pleasantness
zbMATH Keywords: iterative scheme
zbMATH Keywords: numerical examples
describes a project that uses: pchip
MaRDI profile type: Publication
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OpenAlex ID: W2087655259
description: scientific article; zbMATH DE number 4037014