Interpolation of track data with radial basis methods

DOI10.1016/0898-1221(92)90169-IzbMath0766.65005MaRDI QIDQ1207555

Thomas A. Foley, Ralph E. Carlson

Publication date: 1 April 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

scattered data interpolationminimum norm network methodmultiquadric methodquadratic Shepard methodradial basis methodsthin plate spline methodtrack data

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05)

Related Items

Radial basis function interpolation in the quantum trajectory method: optimization of the multi-quadric shape parameter. ⋮ Subdomain radial basis collocation method for fracture mechanics ⋮ Applying multiquadric quasi-interpolation to solve Burgers' equation ⋮ The extended method of approximate particular solutions to simulate two-dimensional electromagnetic scattering from arbitrary shaped anisotropic objects ⋮ Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions ⋮ Scattered and track data interpolation using an efficient strip searching procedure ⋮ Numerical solution of an inverse reaction-diffusion problem via collocation method based on radial basis functions ⋮ Reproducing kernel enhanced local radial basis collocation method ⋮ On the search of the shape parameter in radial basis functions using univariate global optimization methods ⋮ Localized Radial Basis Functions with Partition of Unity Properties ⋮ Collocation method based on shifted Chebyshev and radial basis functions with symmetric variable shape parameter for solving the parabolic inverse problem ⋮ A shock-capturing meshless scheme using RBF blended interpolation and moving least squares

Uses Software

• QSHEP2D

Cites Work

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• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
• A method for construction of surfaces under tension
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• The parameter \(R^ 2\) in multiquadric interpolation
• A Method for Interpolating Scattered Data Based Upon a Minimum Norm Network
• Algorithm 660: QSHEP2D: Quadratic Shepard Method for Bivariate Interpolation of Scattered Data
• Convergence of Univariate Quasi-Interpolation Using Multiquadrics
• Smooth interpolation of large sets of scattered data
• Scattered Data Interpolation: Tests of Some Method