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Radial Basis Functions

by Martin D. Buhmann, Amos Ron , 2003
"... p-approximation orders with scattered centres ..."
Abstract - Cited by 177 (0 self) - Add to MetaCart
p-approximation orders with scattered centres

Reconstruction and Representation of 3D Objects with Radial Basis Functions

by J. C. Carr, R. K. Beatson, J. B. Cherrie, T. J. Mitchell, W. R. Fright, B. C. McCallum, T. R. Evans - Computer Graphics (SIGGRAPH ’01 Conf. Proc.), pages 67–76. ACM SIGGRAPH , 2001
"... We use polyharmonic Radial Basis Functions (RBFs) to reconstruct smooth, manifold surfaces from point-cloud data and to repair incomplete meshes. An object's surface is defined implicitly as the zero set of an RBF fitted to the given surface data. Fast methods for fitting and evaluating RBFs al ..."
Abstract - Cited by 505 (1 self) - Add to MetaCart
We use polyharmonic Radial Basis Functions (RBFs) to reconstruct smooth, manifold surfaces from point-cloud data and to repair incomplete meshes. An object's surface is defined implicitly as the zero set of an RBF fitted to the given surface data. Fast methods for fitting and evaluating RBFs

On the Integrability of Radial Basis Functions

by J. Levesley, Z. Luo, Leicester Le Rh
"... In this paper, we investigate the integrability of certain radial basis functions. From the following forms of function OE, OE(r) = ( P d+[ff] k=0 c k r ff\Gammak + g(r) r ? A; P d+[ff] k=0 c k r ff\Gammak log r + g(r); r ? A; where A 0 and g ffi k \Delta k 2 L 1 (IR d ), we construct the ..."
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In this paper, we investigate the integrability of certain radial basis functions. From the following forms of function OE, OE(r) = ( P d+[ff] k=0 c k r ff\Gammak + g(r) r ? A; P d+[ff] k=0 c k r ff\Gammak log r + g(r); r ? A; where A 0 and g ffi k \Delta k 2 L 1 (IR d ), we construct

Animated Deformations with Radial Basis Functions

by Jun-Yong Noh, Douglas Fidaleo - In ACM Virtual Reality and Software Technology (VRST , 2000
"... We present a novel approach to creating deformations of polygonal models using Radial Basis Functions (RBFs) to produce localized real-time deformations. Radial Basis Functions assume surface smoothness as a minimal constraint and animations produce smooth displacements of affected vertices in a mod ..."
Abstract - Cited by 29 (0 self) - Add to MetaCart
We present a novel approach to creating deformations of polygonal models using Radial Basis Functions (RBFs) to produce localized real-time deformations. Radial Basis Functions assume surface smoothness as a minimal constraint and animations produce smooth displacements of affected vertices in a

Radial Basis Function Neural Network

by Tiruvenkadam Santhanam, A. C. Subhajini
"... Abstract: Problem statement: Accurate weather forecasting plays a vital role for planning day to day activities. Neural network has been use in numerous meteorological applications including weather forecasting. Approach: A neural network model has been developed for weather forecasting, based on va ..."
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on various factors obtained from meteorological experts. This study evaluates the performance of Radial Basis Function (RBF) with Back Propagation (BPN) neural network. The back propagation neural network and radial basis function neural network were used to test the performance in order to investigate

Characterization and construction of radial basis functions

by Robert Schaback, Holger Wendland - Multivariate Approximation and Applications , 2001
"... We review characterizations of (conditional) positive deniteness and show how they apply to the theory of radial basis functions. We then give complete proofs for the (conditional) positive deniteness of all practically relevant basis functions. Furthermore, we show how some of these characterizatio ..."
Abstract - Cited by 33 (8 self) - Add to MetaCart
We review characterizations of (conditional) positive deniteness and show how they apply to the theory of radial basis functions. We then give complete proofs for the (conditional) positive deniteness of all practically relevant basis functions. Furthermore, we show how some

The Gibbs Phenomenon for Radial Basis Functions

by Bengt Fornberg, Natasha Flyer - Gibbs Phenomenon in Various Representations and Applications, Sampling Publishing , 2006
"... Abstract. What is now known as the Gibbs phenomenon was first observed in the context of truncated Fourier expansions, but other versions of it arise also in situations such as truncated integral transforms and for different interpolation methods. Radial basis functions (RBF) is a modern interpolati ..."
Abstract - Cited by 6 (3 self) - Add to MetaCart
Abstract. What is now known as the Gibbs phenomenon was first observed in the context of truncated Fourier expansions, but other versions of it arise also in situations such as truncated integral transforms and for different interpolation methods. Radial basis functions (RBF) is a modern

Radial basis functions

by Meshless Methods
"... ver al b, m sfin ited wo nd a behavior of thin and thick composite plates. Through numerical experiments on square and L-shaped plates, the accuracy and efficiency of this collocation technique is demonstrated, and the numerical ite pla finit ar def hlessm id the aches basis function, to all the rem ..."
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ver al b, m sfin ited wo nd a behavior of thin and thick composite plates. Through numerical experiments on square and L-shaped plates, the accuracy and efficiency of this collocation technique is demonstrated, and the numerical ite pla finit ar def hlessm id the aches basis function, to all

Radial basis functions and corresponding

by Wolfgang Zu Castell, Frank Filbir , 2004
"... zonal series expansions on the sphere ..."
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zonal series expansions on the sphere

radial basis function networks

by unknown authors , 2005
"... Evolutionary system for automatically constructing and adapting ..."
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Evolutionary system for automatically constructing and adapting
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