Subdivision and Spline Spaces

A standard construction in approximation theory is mesh refinement. For a simplicial or polyhedral mesh Δ ⊆ R k , we study the subdivision Δ ′ obtained by subdividing a maximal cell of Δ . We give sufficient conditions for the module of splines on Δ ′ to split as the direct sum of splines on Δ and s...

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Bibliographic Details
Published in:	Constructive approximation Vol. 47; no. 2; pp. 237 - 247
Main Authors:	Schenck, Hal, Sorokina, Tatyana
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.04.2018 Springer Nature B.V
Subjects:	Analysis Construction standards Mathematics Mathematics and Statistics Numerical Analysis Splines Subdivisions Subdivision 13D40 41A15 Spline Dimension formula
ISSN:	0176-4276, 1432-0940
Online Access:	Get full text
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