... Hubbert, Simon and Baxter, Brad J.C. (2001) Radialbasisfunctions for the sphere. In: Haussmann, W. and Jetter, K. and Reimer, M. (eds.) Recent Progress in Multivariate Approximation. 4th ...
... The employment of radialbasisfunctions 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. ...
... In this paper we derive differential equations for evolv- ing radialbasisfunctions (RBFs) to solve segmentation problems. The differential equations result from applying variational calculus to ...
... 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] ...
... of radialbasisfunctions (RBFs) as a means of solving parabolic partial differential equations (PDEs) associated with the solu- tion of European- and American-style financial ...
... Radialbasisfunctions (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 ...
... decades, radialbasisfunctions (RBFs), proven to be universal approximators, have been developed and applied to solve different types of differential problems encountered in applied mathematics, ...
... on radialbasisfunctions (RBFs) is a space dimension independent method and a powerful interpolation ...on radialbasisfunctions analyzing the waveguide or resonant ...
... infinity. Radialbasisfunctions have been very effective tools to approximate the solutions of equations on meshless points without using initial ...approximate functions which are important ...
... supported basis for univariate spline spaces, but an analyticity argument implies that a nontrivial polyharmonic spline generated by ...a radialbasis function generated by the Euclidean norm can be ...
... of radialbasisfunctions to achieve either a region-based or boundary-based image ...anisotropic basisfunctions for two reasons: first, they can better approximate sharp corners [4], ...
... A radialbasis 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 ...
... and radialbasisfunctions (RBF) have ubiquitously proved very successful to solve different forms of partial differential equations (PDE) using shifted basisfunctions, and as with the ...
... RadialBasisFunctions have traditionally been used to provide a continuous in- terpolation of scattered data sets (Franke, 1982; Haykin, ...well-known radialbasisfunctions are ...
... weighted radialbasis collocation method in which the residual error on the Neumann boundary is treated by a proper scaling ...for radialbasisfunctions (RBF) by increasing the shape ...
... integrated radialbasisfunctions (IRBFs) and Cartesian grids, for solving time-dependent differential problems that can be defined on non-rectangular ...allows functions other than a linear ...
... shape functions do not hold Kronecker delta prop- erty, leading to difficulty in enforcing essential boundary ...using radialbasisfunctions (RBFs) have also been developed in par- allel ...
... 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 ...
... several RadialBasis ...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 ...