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Radial Basis functions

Radial basis functions for the sphere

Radial basis functions for the sphere

... Hubbert, Simon and Baxter, Brad J.C. (2001) Radial basis functions for the sphere. In: Haussmann, W. and Jetter, K. and Reimer, M. (eds.) Recent Progress in Multivariate Approximation. 4th ...

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Compact approximation stencils based on integrated radial basis functions for fluid flows

Compact approximation stencils based on integrated radial basis functions for fluid flows

... The employment of radial basis functions for solving ODEs/PDEs was proposed by Kansa in 1990 (Kansa, 1990). Since then, RBFs have been increasingly used in the simulation of engineering applications. ...

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A Variational Approach to the Evolution of Radial Basis Functions for Image Segmentation

A Variational Approach to the Evolution of Radial Basis Functions for Image Segmentation

... In this paper we derive differential equations for evolv- ing radial basis functions (RBFs) to solve segmentation problems. The differential equations result from applying variational calculus to ...

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Reconstructing Surfaces by Volumetric Regularization Using Radial Basis Functions

Reconstructing Surfaces by Volumetric Regularization Using Radial Basis Functions

... 1 To appear in IEEE Pattern Analysis and Machine Intelligence Reconstructing Surfaces By Volumetric Regularization Using Radial Basis Functions 1 1 2 Huong Quynh Dinh , Greg Turk , and G[r] ...

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Evaluation of Financial Options Using Radial Basis Functions in Mathematica »

Evaluation of Financial Options Using Radial Basis Functions in Mathematica »

... of radial basis functions (RBFs) as a means of solving parabolic partial differential equations (PDEs) associated with the solu- tion of European- and American-style financial ...

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Compact approximation stencils based on integrated flat radial basis functions

Compact approximation stencils based on integrated flat radial basis functions

... Radial basis functions (RBFs) have become one of the main fields of research in numerical analysis. It is theoretically proved that RBF networks having one hidden layer are capable of universal ...

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Towards an analysis of shear suspension flows using radial basis functions

Towards an analysis of shear suspension flows using radial basis functions

... decades, radial basis functions (RBFs), proven to be universal approximators, have been developed and applied to solve different types of differential problems encountered in applied mathematics, ...

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Eigenvalue Analysis of Spherical Resonant Cavity Using Radial Basis Functions

Eigenvalue Analysis of Spherical Resonant Cavity Using Radial Basis Functions

... on radial basis functions (RBFs) is a space dimension independent method and a powerful interpolation ...on radial basis functions analyzing the waveguide or resonant ...

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A numerical approach on Hiemenz 
 flow problem using radial basis
 functions

A numerical approach on Hiemenz flow problem using radial basis functions

... infinity. Radial basis functions have been very effective tools to approximate the solutions of equations on meshless points without using initial ...approximate functions which are important ...

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On spherical averages of radial basis functions

On spherical averages of radial basis functions

... supported basis for univariate spline spaces, but an analyticity argument implies that a nontrivial polyharmonic spline generated by ...a radial basis function generated by the Euclidean norm can be ...

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A Variational Approach to the Evolution of Radial Basis Functions for Image Segmentation

A Variational Approach to the Evolution of Radial Basis Functions for Image Segmentation

... of radial basis functions to achieve either a region-based or boundary-based image ...anisotropic basis functions for two reasons: first, they can better approximate sharp corners [4], ...

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Radial Basis Functions for the Solution of an Inverse Problem of Mixed Parabolic-Hyperbolic Type

Radial Basis Functions for the Solution of an Inverse Problem of Mixed Parabolic-Hyperbolic Type

... A radial basis function is a real-valued function whose value depends only on the distance from the origin, so that φ(x) = φ( k x k ); or alternatively on the distance from some other point x i , called a ...

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Adopting the Multiresolution Wavelet Analysis in Radial Basis Functions to Solve the Perona-Malik Equation

Adopting the Multiresolution Wavelet Analysis in Radial Basis Functions to Solve the Perona-Malik Equation

... and radial basis functions (RBF) have ubiquitously proved very successful to solve different forms of partial differential equations (PDE) using shifted basis functions, and as with the ...

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Parallel computations based on domain decompositions and integrated radial basis functions for fluid flow problems

Parallel computations based on domain decompositions and integrated radial basis functions for fluid flow problems

... Radial Basis Functions have traditionally been used to provide a continuous in- terpolation of scattered data sets (Franke, 1982; Haykin, ...well-known radial basis functions are ...

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A cartesian-grid collocation technique with integrated radial basis functions for mixed boundary value problems

A cartesian-grid collocation technique with integrated radial basis functions for mixed boundary value problems

... weighted radial basis collocation method in which the residual error on the Neumann boundary is treated by a proper scaling ...for radial basis functions (RBF) by increasing the shape ...

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A time discretization scheme based on integrated radial basis functions for heat transfer and fluid flow problems

A time discretization scheme based on integrated radial basis functions for heat transfer and fluid flow problems

... integrated radial basis functions (IRBFs) and Cartesian grids, for solving time-dependent differential problems that can be defined on non-rectangular ...allows functions other than a linear ...

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Displacement and equilibrium mesh-free formulation based on integrated radial basis functions for dual yield design

Displacement and equilibrium mesh-free formulation based on integrated radial basis functions for dual yield design

... shape functions do not hold Kronecker delta prop- erty, leading to difficulty in enforcing essential boundary ...using radial basis functions (RBFs) have also been developed in par- allel ...

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Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains

Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains

... The main purpose of this article is to describe a numerical scheme for solving three-dimensional linear Fredholm integral equations of the second kind on the cubic domains. The method is based on interpolation by ...

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Rapid evaluation of radial basis functions

Rapid evaluation of radial basis functions

... several Radial Basis ...definite functions of order one on R d and thus the corresponding interpolation matrices have one positive and N − 1 neg- ative eigenvalues, provided that the centers are ...

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Solving Helmholtz Equation by Meshless Radial Basis Functions Method

Solving Helmholtz Equation by Meshless Radial Basis Functions Method

... on radial basis functions (MLM-RBF) ...RBF basis functions are used in a point matching method to solve the Helmholtz equation only in Cartesian ...

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