Polynomial splines of non-uniform degree on triangulations: Combinatorial bounds on the dimension

•We study spaces of bivariate polynomial splines on planar triangulations.•The splines are composed of pieces with different polynomial degrees on different triangles.•We provide combinatorial upper and lower bounds on the dimension of such splines.•Stability of the dimension in high degree is shown...

Full description

Bibliographic Details

Published in:	Computer aided geometric design Vol. 75; p. 101763
Main Authors:	Toshniwal, Deepesh, Hughes, Thomas J.R.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.11.2019
Subjects:	Dimension formula Mixed polynomial degrees Mixed smoothness Splines Triangulations Triangulations Mixed polynomial degrees Splines Mixed smoothness Dimension formula
ISSN:	0167-8396, 1879-2332
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!