Shape preservation of scientific data through rational fractal splines
type: Item
instance of: scholarly article
title: Shape preservation of scientific data through rational fractal splines
zbMATH Open document ID: 1315.65014
author: N. Vijender
author: María Antonia Navascués
author: A. K. B. Chand
published in: Calcolo
publication date: 2015-03-23T00:00:00Z
review text: Based on the theory of iterated function systems, the authors develop a class of rational cubic fractal interpolation functions for the purpose of shape preserving approximation. The fractal interpolation functions contain two parameters that allow to control various features of the shape of the functions. An error analysis is provided and numerous examples demonstrate the influence of changes in the parameters.
reviewed by: Kai Diethelm
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 6418716
zbMATH Keywords: fractals
zbMATH Keywords: iterated function systems
zbMATH Keywords: fractal interpolation functions
zbMATH Keywords: rational cubic fractal functions
zbMATH Keywords: rational cubic interpolation
zbMATH Keywords: monotonicity
zbMATH Keywords: positivity
zbMATH Keywords: convexity
zbMATH Keywords: numerical example
zbMATH Keywords: shape preserving approximation
zbMATH Keywords: error analysis
describes a project that uses: pchip
MaRDI profile type: Publication
full work available at URL: s10092-013-0088-2
OpenAlex ID: W2065094071
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DOI: 10.1007/S10092-013-0088-2
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description: scientific article; zbMATH DE number 6418716