Marsden's identity

DOI10.1016/0167-8396(95)00027-5zbMath0875.68865OpenAlexW1984705969MaRDI QIDQ1351972

E. T. Y. Lee

Publication date: 27 February 1997

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-8396(95)00027-5

zbMATH Keywords

Marsden's identityDivided differenceRecurrence relationsBlossomsDegree elevationKnot insertionSmoothnessDe Boor-Fix formulaRational linear transformations

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (7)

Multipatch approximation of the de Rham sequence and its traces in isogeometric analysis ⋮ A fast isogeometric BEM for the three dimensional Laplace- and Helmholtz problems ⋮ A class of multivariate de Boor--Fix formulae ⋮ Piecewise smooth spaces in duality: Application to blossoming ⋮ Quasi-interpolation for analysis-suitable T-splines ⋮ New upper bound for the \(B\)-spline basis condition number II. A proof of de Boor's \(2^k\)-conjecture ⋮ A family of smooth quasi-interpolants defined over Powell-Sabin triangulations

Cites Work

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• Rational linear reparametrization of NURBS and the blossoming principle
• Dual polynomial bases
• On Polya frequency functions. IV: The fundamental spline functions and their limits
• An identity for spline functions with applications to variation diminishing spline approximation
• On calculating with B-splines
• Multivariate Spline Functions, B-Spline Basis and Polynomial Interpolations
• Computing a chain of blossoms, with application to products of splines

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