A lattice of interpolants with applications to computer graphics
type: Item
instance of: scholarly article
title: A lattice of interpolants with applications to computer graphics
zbMATH Open document ID: 0974.06004
DOI: 10.1007/BF01236760
author: Raymond Balbes
published in: Algebra Universalis
publication date: 1998-11-24T00:00:00Z
review text: The author considers interpolation formulas (in the sense of \textit{W. Gordon,} 1969) from a lattice theoretical point of view. It is shown that this viewpoint leads to a more structural outlook on how these maps are related to each other. Moreover, using the lattice theoretical relationships of the given boundary conditions, simple algorithms that can be used to produce interpolation formulas with specified boundary conditions are developed in the paper.
Mathematics Subject Classification ID: 06D05
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 68U05
zbMATH DE Number: 1226547
zbMATH Keywords: lattice
zbMATH Keywords: interpolation
reviewed by: Jaromír Duda
MaRDI profile type: Publication
cites work: Q4194439
cites work: Q3997243
cites work: Q4190032
cites work: The side-vertex method for interpolation in triangles
cites work: Hermite- and Coons-like interpolants using rational Bézier approximation form with infinite control points
full work available at URL: https://doi.org/10.1007/bf01236760
OpenAlex ID: W2078456195
description: scientific article; zbMATH DE number 1226547