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Data approximation using polyharmonic radial basis functions

Segeth, Karel (2021)

Programs and Algorithms of Numerical Mathematics

The paper is concerned with the approximation and interpolation employing polyharmonic splines in multivariate problems. The properties of approximants and interpolants based on these radial basis functions are shown. The methods of such data fitting are applied in practice to treat the problems of, e.g., geographic information systems, signal processing, etc. A simple 1D computational example is presented.

Densité des hypothèses assurant la convergence de l'algorithme de Remes

C. Carasso (1972)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Discrete, Linear Approximation Problems in Polyhedral Norms.

M.R. Osborne, D.H. Anderson (1976)

Numerische Mathematik

Discrete, Nonlinear Approximation Problems in Polyhedral Norms.

M.R. Osborne, D.H. Anderson (1977)

Numerische Mathematik

Discrete, Nonlinear Approximation Problems in Polyhedral Norms. A Levenberg-Like Algorithm.

M.R. Osborne, D.H. Anderson (1977)

Numerische Mathematik

Discrete smoothing splines and digital filtration. Theory and applications

Jiří Hřebíček, František Šik, Vítězslav Veselý (1990)

Aplikace matematiky

Two universally applicable smoothing operations adjustable to meet the specific properties of the given smoothing problem are widely used: 1. Smoothing splines and 2. Smoothing digital convolution filters. The first operation is related to the data vector $r = {(r_{0}, . . ., r_{n - 1})}^{T}$ with respect to the operations $𝒜$ , $ℒ$ and to the smoothing parameter $α$ . The resulting function is denoted by $σ_{α} (t)$ . The measured sample $r$ is defined on an equally spaced mesh $Δ = {t_{i} = i h}_{i = 0}^{n - 1}$ $...$

Dual algorithms for convex approximations of histograms using cubic C¹-splines

Jochen Schmidt (1994)

Banach Center Publications

Displaying 1 – 7 of 7

Data approximation using polyharmonic radial basis functions

Densité des hypothèses assurant la convergence de l'algorithme de Remes

Discrete, Linear Approximation Problems in Polyhedral Norms.

Discrete, Nonlinear Approximation Problems in Polyhedral Norms.

Discrete, Nonlinear Approximation Problems in Polyhedral Norms. A Levenberg-Like Algorithm.

Discrete smoothing splines and digital filtration. Theory and applications

Dual algorithms for convex approximations of histograms using cubic C¹-splines

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