Tchebycheffian spline spaces over planar T-meshes: dimension bounds and dimension instabilities

DOI10.1016/j.cam.2018.10.026OpenAlexW2895976810WikidataQ129079227 ScholiaQ129079227MaRDI QIDQ1713107

Hendrik Speleers, Tom Lyche, Carla Manni, Cesare Bracco

Publication date: 24 January 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://urn.nb.no/URN:NBN:no-78009

zbMATH Keywords

dimension formulaT-meshesdimension boundsdimension instabilitiesextended Tchebycheff spacesTchebycheffian spline spaces

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Best approximation, Chebyshev systems (41A50) Interpolation in approximation theory (41A05) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Dimension of polynomial splines of mixed smoothness on T-meshes ⋮ SMART 2017. Second conference on subdivision, geometric and algebraic methods, isogeometric analysis and refinability in Italy ⋮ Polynomial spline spaces of non-uniform bi-degree on T-meshes: combinatorial bounds on the dimension ⋮ A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties

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