On the foundation of bases of spline spaces

DOI10.1016/S0377-0427(00)00388-5zbMath0966.65019OpenAlexW2014663109MaRDI QIDQ1576467

Juan Manuel Peña

Publication date: 21 August 2001

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00388-5

zbMATH Keywords

B-splinessupportB-basisspline baseslocal linear independencetensor product spacesB-conditionfoundation of bases

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• On minimal and quasi-minimal supported bivariate splines
• A Marsden type identity for periodic trigonometric splines
• Least supported bases and local linear independence
• Totally positive bases for shape preserving curve design and optimality of \(B\)-splines
• On the local linear independence of translates of a box spline
• B-splines and optimal stability
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