On the instability in the dimension of splines spaces over T-meshes
type: Item
instance of: scholarly article
title: On the instability in the dimension of splines spaces over T-meshes
zbMATH Open document ID: 1232.65023
author: Xin Li
author: Falai Chen
published in: Computer Aided Geometric Design
publication date: 2012-01-24T00:00:00Z
review text: When using and computing two- (or higher-) dimensional polynomial splines on non-gridded and non-equally spaced data, the linear spaces of the splines are difficult to compute and in particular their dimension depends on the data point distribution in non-trivial ways. To illustrate this further, the authors consider so-called T-meshes and show how the dimension of the associated spline spaces do not depend stably on the topology of the data point distribution.
reviewed by: Martin D. Buhmann
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 5999954
zbMATH Keywords: spline space
zbMATH Keywords: dimension
zbMATH Keywords: T-mesh
zbMATH Keywords: smoothing cofactor
MaRDI profile type: Publication
full work available at URL: j.cagd.2011.08.001
OpenAlex ID: W2087571012
cites work: Dimensions of spline spaces over T-meshes
cites work: Instability in the Dimension of Spaces of Bivariate Piecewise Polynomials of Degree $2r$ and Smoothness Order r
cites work: Q3910883
cites work: Q3592409
cites work: Q4530239
DOI: 10.1016/J.CAGD.2011.08.001
description: scientific article; zbMATH DE number 5999954