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» On interpolation by radial polynomials
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CGF
2008
92views more  CGF 2008»
13 years 4 months ago
Pointwise radial minimization: Hermite interpolation on arbitrary domains
In this paper we propose a new kind of Hermite interpolation on arbitrary domains, matching derivative data of arbitrary order on the boundary. The basic idea stems from an interp...
Michael S. Floater, C. Schulz
ADCM
2006
41views more  ADCM 2006»
13 years 4 months ago
On interpolation by radial polynomials
Carl de Boor
ADCM
2008
187views more  ADCM 2008»
13 years 5 months ago
Approximation on the sphere using radial basis functions plus polynomials
In this paper we analyse a hybrid approximation of functions on the sphere S2 R3 by radial basis functions combined with polynomials, with the radial basis functions assumed to be...
Ian H. Sloan, Alvise Sommariva
SIAMSC
2008
191views more  SIAMSC 2008»
13 years 4 months ago
ORBIT: Optimization by Radial Basis Function Interpolation in Trust-Regions
Abstract. We present a new derivative-free algorithm, ORBIT, for unconstrained local optimization of computationally expensive functions. A trust-region framework using interpolati...
Stefan M. Wild, Rommel G. Regis, Christine A. Shoe...
DAGSTUHL
1997
13 years 6 months ago
Scattered Data Techniques for Surfaces
This survey presents several techniques for solving variants of the following scattered data interpolation problem: given a nite set of N points in R3, nd a surface that interpola...
Suresh K. Lodha, Richard Franke