A class of piecewise interpolating functions based on barycentric coordinates

DOI10.1007/s11587-014-0214-8zbMath1303.41002OpenAlexW2071604467MaRDI QIDQ480373

Giulio Giunta, Ardelio Galletti, Salvatore Cuomo, Livia Marcellino

Publication date: 8 December 2014

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-014-0214-8

zbMATH Keywords

barycentric coordinatesdiscrete data interpolationpiecewise-defined functions

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items

Approximation method for solving fixed point problem of Bregman strongly nonexpansive mappings in reflexive Banach spaces ⋮ Reconstruction of implicit curves and surfaces via RBF interpolation ⋮ The numerical solution of nonlinear integral equations of the second kind using thin plate spline discrete collocation method ⋮ Piecewise Hermite interpolation via barycentric coordinates

Uses Software

• Matlab

Cites Work

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• Computation of the inverse Laplace transform based on a collocation method which uses only real values
• On the Numerical Approximation of the Laplace Transform Function from Real Samples and Its Inversion
• A smoothing spline that approximates Laplace transform functions only known on measurements on the real axis
• Numerical regularization of a real inversion formula based on the Laplace transform's eigenfunction expansion of the inverse function
• Smooth interpolation of large sets of scattered data

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