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...

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Veröffentlicht in:	Computer aided geometric design Jg. 75; S. 101763
Hauptverfasser:	Toshniwal, Deepesh, Hughes, Thomas J.R.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier B.V 01.11.2019
Schlagworte:	Dimension formula Mixed polynomial degrees Mixed smoothness Splines Triangulations Triangulations Mixed polynomial degrees Splines Mixed smoothness Dimension formula
ISSN:	0167-8396, 1879-2332
Online-Zugang:	Volltext
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