Families of univariate and bivariate subdivision schemes originated from quartic B-spline

DOI10.1007/S10444-017-9519-YzbMath1381.65015OpenAlexW2593381410MaRDI QIDQ1683227

Rabia Hameed, Ghulam Mustafa

Publication date: 6 December 2017

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-017-9519-y

zbMATH Keywords

smoothingquartic B-splineLane-Riesenfeld algorithmapproximating subdivision schemenon-tensor product schemepolynomial generation and reproduction

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (8)

A shape-preserving variant of Lane-Riesenfeld algorithm ⋮ Family of odd point non-stationary subdivision schemes and their applications ⋮ Repeated local operations and associated interpolation properties of dual \(2n\)-point subdivision schemes ⋮ Family of \(a\)-ary univariate subdivision schemes generated by Laurent polynomial ⋮ Families of non-linear subdivision schemes for scattered data fitting and their non-tensor product extensions ⋮ A new paradigm to design a class of combined ternary subdivision schemes ⋮ Recursive process for constructing the refinement rules of new combined subdivision schemes and its extended form ⋮ ON THE NEW EXPLICIT SOLUTIONS OF THE FRACTIONAL NONLINEAR SPACE-TIME NUCLEAR MODEL

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