Numerical integration on multivariate scattered data by Lobachevsky splines

DOI10.1080/00207160.2013.772144zbMath1291.65035OpenAlexW2074255713MaRDI QIDQ5416446

Giampietro Allasia, Alessandra De Rossi, Roberto Cavoretto

Publication date: 20 May 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.772144

zbMATH Keywords

interpolation formulasradial basis functionsscattered dataintegration formulasLobachevsky splines

Mathematics Subject Classification ID

Numerical interpolation (65D05) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (10)

A meshless interpolation algorithm using a cell-based searching procedure ⋮ Lobachevsky spline functions and interpolation to scattered data ⋮ Information potential for some probability density functions ⋮ A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators ⋮ Detection of thermal bridges from thermographic images by means of image processing approximation algorithms ⋮ Local interpolation schemes for landmark-based image registration: a comparison ⋮ An introduction to the Hilbert-Schmidt SVD using iterated Brownian bridge kernels ⋮ B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems ⋮ The max-product generalized sampling operators: convergence and quantitative estimates ⋮ Approximation by translates of a single function of functions in space induced by the convolution with a given function

Uses Software

• Matlab

Cites Work

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• Scattered and track data interpolation using an efficient strip searching procedure
• Numerical cubature on scattered data by radial basis functions
• Meshless cubature by Green's formula
• Meshless cubature over the disk using thin-plate splines
• A comparison between (quasi-)Monte Carlo and cubature rule based methods for solving high-dimensional integration problems
• Multidimensional spline integration of scattered data
• Monomial cubature rules since ``Stroud: A compilation. II
• Stable integration rules with scattered integration points
• Gauss-Green cubature and moment computation over arbitrary geometries
• A class of spline functions for landmark-based image registration
• Radial Basis Functions
• Scattered Data Approximation

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