Local hybrid approximation for scattered data fitting with bivariate splines

DOI10.1016/j.cagd.2006.04.001zbMath1171.65317OpenAlexW1968622822MaRDI QIDQ733383

Alessandra Sestini, Rossana Morandi, O. V. Davydov

Publication date: 16 October 2009

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2006.04.001

zbMATH Keywords

radial basis functionsscattered data fittingbivariate splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10)

Related Items

Adaptive scattered data fitting by extension of local approximations to hierarchical splines, Adaptive fitting with THB-splines: error analysis and industrial applications, A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations, Adaptive meshless centres and RBF stencils for Poisson equation, Multidimensional spline integration of scattered data, Optimal selection of local approximants in RBF-PU interpolation, The Fourier approximation of smooth but non-periodic functions from unevenly spaced data, An approximation problem of noisy data by cubic and bicubic splines, \(C^{2}\) piecewise cubic quasi-interpolants on a 6-direction mesh, THB-spline approximations for turbine blade design with local B-spline approximations, Two-stage approximation methods with extended B-splines

Uses Software

• Algorithm 792
• TSFIT

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
• Scattered data fitting by direct extension of local polynomials to bivariate splines
• Interpolation and approximation of 3-D and 4-D scattered data
• On minimal and quasi-minimal supported bivariate splines
• Smooth interpolation of scattered data by local thin plate splines
• Improved accuracy of multiquadric interpolation using variable shape parameters
• Cubic spline prewavelets on the four-directional mesh
• Radial basis functions for the multivariate interpolation of large scattered data sets
• Least squares surface approximation to scattered data using multiquadratic functions
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Knot Selection for Least Squares Thin Plate Splines
• Nonlinear Approximation from Differentiable Piecewise Polynomials
• Algorithm 792
• On the optimal stability of the Bernstein basis