Scattered and track data interpolation using an efficient strip searching procedure

DOI10.1016/j.amc.2010.12.110zbMath1213.65023OpenAlexW2080591910MaRDI QIDQ628987

Giampietro Allasia, Roberto Cavoretto, Alessandra De Rossi, Renata Besenghi

Publication date: 8 March 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.110

zbMATH Keywords

radial basis functionsinterpolation algorithmscontinuous surface modellingscattered and track dataShepard's formulas

Mathematics Subject Classification ID

Numerical interpolation (65D05)

Related Items (15)

Reliable approximation of separatrix manifolds in competition models with safety niches ⋮ A meshless interpolation algorithm using a cell-based searching procedure ⋮ Lobachevsky spline functions and interpolation to scattered data ⋮ Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds ⋮ Fast computation of triangular Shepard interpolants ⋮ Optimal order Jackson type inequality for scaled Shepard approximation ⋮ Local interpolation schemes for landmark-based image registration: a comparison ⋮ The Fourier approximation of smooth but non-periodic functions from unevenly spaced data ⋮ Numerical integration on multivariate scattered data by Lobachevsky splines ⋮ Achieving accuracy and efficiency in spherical modelling of real data ⋮ An adaptive orthogonal improved interpolating moving least-square method and a new boundary element-free method ⋮ Coupling of the Crank-Nicolson scheme and localized meshless technique for viscoelastic wave model in fluid flow ⋮ Approximation by radial Shepard operators on scattered data ⋮ A Trivariate Interpolation Algorithm Using a Cube-Partition Searching Procedure ⋮ A numerical algorithm for multidimensional modeling of scattered data points

Uses Software

• Matlab
• QSHEP2D
• QSHEP3D
• Algorithm 792

Cites Work

• Fast and accurate interpolation of large scattered data sets on the sphere
• Properties of Shepard's surfaces
• Interpolation of track data with radial basis methods
• Least squares surface approximation using multiquadrics and parametric domain distortion
• Tensor-product spline interpolation to data on or near a family of lines
• Simultaneous interpolation and approximation by a class of multivariate positive operators
• Radial basis functions for the multivariate interpolation of large scattered data sets
• A new method for \(C^k\)-surface approximation from a set of curves, with application to ship track data in the Marianas trench
• Algorithm 661
• Algorithm 660: QSHEP2D: Quadratic Shepard Method for Bivariate Interpolation of Scattered Data
• Multivariate interpolation of large sets of scattered data
• Smooth interpolation of large sets of scattered data
• Scattered Data Interpolation: Tests of Some Method
• Shepard's Method of "Metric Interpolation" to Bivariate and Multivariate Interpolation
• Radial Basis Functions
• Algorithm 792
• Scattered Data Approximation
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