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» On interpolation by radial polynomials
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RC
1998
66views more  RC 1998»
13 years 8 months ago
An Interval Polynomial Interpolation Problem and Its Lagrange Solution
Numerical interpolation and approximation are powerful tools to solve real world application problems. To take data measurement errors into considerations of interpolating a d deg...
Chenyi Hu, Angelina Cardenas, Stephanie Hoogendoor...
ADCM
2010
85views more  ADCM 2010»
13 years 8 months ago
Stability of kernel-based interpolation
It is often observed that interpolation based on translates of radial basis functions or non-radial kernels is numerically unstable due to exceedingly large condition of the kerne...
Stefano De Marchi, Robert Schaback
SIBGRAPI
2009
IEEE
14 years 3 months ago
Hermite Interpolation of Implicit Surfaces with Radial Basis Functions
—We present the Hermite radial basis function (HRBF) implicits method to compute a global implicit function which interpolates scattered multivariate Hermite data (unstructured p...
Ives Macedo, Joao Paulo Gois, Luiz Velho
COMPUTING
2006
162views more  COMPUTING 2006»
13 years 8 months ago
Numerical Cubature on Scattered Data by Radial Basis Functions
We study cubature formulas on relatively small scattered samples in the unit square, obtained by integrating radial basis function (RBF) interpolants. Numerical tests show that, d...
Alvise Sommariva, Marco Vianello
JSCIC
2010
134views more  JSCIC 2010»
13 years 3 months ago
Radial Basis Function Interpolation on Irregular Domain through Conformal Transplantation
Abstract In this paper, Radial Basis Function (RBF) method for interpolating two dimensional functions with localized features defined on irregular domain is presented. RBF points ...
Alfa R. H. Heryudono, Tobin A. Driscoll