Bases and dimensions of bivariate hierarchical tensor-product splines
type: Item
instance of: scholarly article
title: Bases and dimensions of bivariate hierarchical tensor-product splines
zbMATH Open document ID: 1259.41014
author: Carlotta Giannelli
author: Bert Jüttler
published in: Journal of Computational and Applied Mathematics
publication date: 2013-01-14T00:00:00Z
review text: Using hierarchical tensor-product grids in two dimensions, bivariate spline spaces on such grids are studied with respect to their basic properties. These include the dimensions of the aforementioned spaces (with a formula that depends on the number of cells, in and along the perimeter, degree, number of holes and connected components), suitable basis functions, feasible characteristic data and B-spline bases.
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 6125296
zbMATH Keywords: hierarchical B-splines
zbMATH Keywords: tensor-product basis
zbMATH Keywords: dimension
zbMATH Keywords: local refinement
reviewed by: Martin D. Buhmann
MaRDI profile type: Publication
full work available at URL: j.cam.2012.09.031
OpenAlex ID: W2051678314
DOI: 10.1016/J.CAM.2012.09.031
description: scientific article; zbMATH DE number 6125296