Which spaces for design?

DOI10.1007/s00211-008-0164-8zbMath1157.65016OpenAlexW2012374398MaRDI QIDQ958155

Marie-Laurence Mazure

Publication date: 2 December 2008

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-008-0164-8

zbMATH Keywords

Hermite interpolationtotally positive basesblossomsBernstein basesB-spline basisdesign spacesquasi extended Chebyshev spaces

Mathematics Subject Classification ID

Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (12)

A class of blending functions with \(C^{\infty}\) smoothness ⋮ NURBS or not NURBS? ⋮ Bernstein-type operators in Chebyshev spaces ⋮ Design with quasi extended Chebyshev piecewise spaces ⋮ On a general new class of quasi Chebyshevian splines ⋮ New trigonometric basis possessing denominator shape parameters ⋮ The Hyers-Ulam stability constant for Chebyshevian Bernstein operators ⋮ Quasi extended Chebyshev spaces and weight functions ⋮ Curve construction based on four \(\alpha \beta\)-Bernstein-like basis functions ⋮ Which spline spaces for design? ⋮ A class of trigonometric Bernstein-type basis functions with four shape parameters ⋮ A Novel Recursive Modification Framework for Enhancing Polynomial Reproduction Property of Interpolation Basis Functions

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• Quasi-Chebyshev splines with connection matrices: Application to variable degree polynomial splines

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