A shape preserving interpolant with tension controls
type: Item
instance of: scholarly article
title: A shape preserving interpolant with tension controls
zbMATH Open document ID: 0663.65009
DOI: 10.1016/0167-8396(88)90025-8
author: Thomas A. Foley
published in: Computer Aided Geometric Design
publication date: 1988-01-01T00:00:00Z
review text: Shape-preserving interpolation with tension controls is studied. In the one-variable setting, a weighted least-squares minimization model is used with weights controlling the shapes of the curve. By forcing a spline model, the resulting model is a constrained quadratic programming problem. An algorithm is given and several interesting examples are presented.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 90C20
zbMATH DE Number: 4084829
zbMATH Keywords: numerical examples
zbMATH Keywords: Shape-preserving interpolation
zbMATH Keywords: tension controls
zbMATH Keywords: weighted least-squares minimization
zbMATH Keywords: spline
zbMATH Keywords: constrained quadratic programming
zbMATH Keywords: algorithm
reviewed by: Charles K. Chui
describes a project that uses: nag
describes a project that uses: NAG
describes a project that uses: pchip
MaRDI profile type: Publication
full work available at URL: 0167-8396(88)90025-8
OpenAlex ID: W2017206418
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description: scientific article; zbMATH DE number 4084829