Quantum B-splines

DOI10.1007/s10543-012-0395-zzbMath1275.65011OpenAlexW2028568858MaRDI QIDQ1944016

Plamen C. Simeonov, Ronald N. Goldman

Publication date: 3 April 2013

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-012-0395-z

zbMATH Keywords

divided differences\(q\)-derivativesMarsden's identityquantum differentiationde Boor algorithmquantum derivative\(q\)-Bernstein basisknot insertion algorithms\(q\)-B-spline curve\(q\)-blossom\(q\)-divided differenceshomogenenizationquantum B-splinesquantum blossom

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Quantum computation (81P68) Numerical differentiation (65D25) Quantum algorithms and complexity in the theory of computing (68Q12)

Related Items (13)

Generalized quantum splines ⋮ Novel polynomial Bernstein bases and Bézier curves based on a general notion of polynomial blossoming ⋮ Extended Gelfand-Tsetlin graph, its \(q\)-boundary, and \(q\)-B-splines ⋮ Properties of an \(h\)-Bernstein-like basis and curves ⋮ \(q\)-blossoming and Hermite-Padé approximants to the \(q\)-exponential function ⋮ A unified approach to non-polynomial B-spline curves based on a novel variant of the polar form ⋮ Extending fundamental formulas from classical B-splines to quantum B-splines ⋮ A unifying structure for polar forms and for Bernstein Bézier curves ⋮ Quantum \((q, h)\)-Bézier surfaces based on bivariate \((q, h)\)-blossoming ⋮ Weighted Lupaş \(q\)-Bézier curves ⋮ A polynomial blossom for the Askey-Wilson operator ⋮ \(q\)-blossoming for analytic functions ⋮ Quantum Bernstein bases and quantum Bézier curves

Cites Work

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