Results 11  20
of
547
CENTER FOR THE MATHEMATICAL SCIENCES On multivariate polynomial interpolation
, 1988
"... We provide a map O 7re which associates each finite subset 0 C C ' with a polynomial space 7re from which interpolation to arbitrary data given at the points in 0 is possible and uniquely so. Among all polynomial spaces Q from which interpolation at 0 is uniquely possible, our ire is of small ..."
Abstract
 Add to MetaCart
We provide a map O 7re which associates each finite subset 0 C C ' with a polynomial space 7re from which interpolation to arbitrary data given at the points in 0 is possible and uniquely so. Among all polynomial spaces Q from which interpolation at 0 is uniquely possible, our ire
Fast solution of the radial basis function interpolation equations: Domain decomposition methods
 SIAM Journal of Scientific Computing
, 2000
"... Abstract. In this paper we consider domain decomposition methods for solving the radial basis function interpolation equations. There are three interwoven threads to the paper. The first thread provides good ways of setting up and solving small to mediumsized radial basis function interpolation pr ..."
Abstract

Cited by 76 (3 self)
 Add to MetaCart
Abstract. In this paper we consider domain decomposition methods for solving the radial basis function interpolation equations. There are three interwoven threads to the paper. The first thread provides good ways of setting up and solving small to mediumsized radial basis function interpolation
Cardinal interpolation with polysplines on annuli
 J. Approx. Theory
"... Cardinal polysplines of order p on annuli are functions in C 2p−2 (R n \{0}) which are piecewise polyharmonic of order p such that ∆ p−1 S may have discontinuities on spheres in R n, centered at the origin and having radii of the form e j,j ∈ Z. The main result is an interpolation theorem for cardin ..."
Abstract

Cited by 9 (9 self)
 Add to MetaCart
Cardinal polysplines of order p on annuli are functions in C 2p−2 (R n \{0}) which are piecewise polyharmonic of order p such that ∆ p−1 S may have discontinuities on spheres in R n, centered at the origin and having radii of the form e j,j ∈ Z. The main result is an interpolation theorem
Biharmonic Spline Interpolation of GEOS3 and SEASAT Altimeter Data
 Georgia World Congress Center, Atlanta Georgia USA
, 1976
"... Abstract. Green functions of the biharmonic operator, in one and two dimensions, are used for minimum curvature interpolation of irregularly spaced data points. The interpolating curve (or surface) is a linear combination of Green functions centered at each data point. The amplitudes of the Green fu ..."
Abstract

Cited by 68 (1 self)
 Add to MetaCart
Abstract. Green functions of the biharmonic operator, in one and two dimensions, are used for minimum curvature interpolation of irregularly spaced data points. The interpolating curve (or surface) is a linear combination of Green functions centered at each data point. The amplitudes of the Green
On QuasiInterpolation with NonUniformly Distributed Centers on Domains and Manifolds
 J. Approx. Theory
"... The paper studies quasiinterpolation by scaled shifts of a smooth and rapidly decaying function. The centers are images of a smooth mapping of the hZ^nlattice in R^s, s ≥ n, and the scaling parameters are proportional to h. We show that for a large class of generating functions the quasiinte ..."
Abstract

Cited by 19 (4 self)
 Add to MetaCart
The paper studies quasiinterpolation by scaled shifts of a smooth and rapidly decaying function. The centers are images of a smooth mapping of the hZ^nlattice in R^s, s ≥ n, and the scaling parameters are proportional to h. We show that for a large class of generating functions
Stability of Interpolation on Overlapping Grids
"... . The stability of interpolation for onedimensionaloverlapping grids is considered. The Cauchyproblem for a second order accurate centered finite difference approximation of u t = ux is analyzed on the semidiscrete level. The existence of generalized eigenvalues is demonstrated for some rare over ..."
Abstract

Cited by 3 (0 self)
 Add to MetaCart
. The stability of interpolation for onedimensionaloverlapping grids is considered. The Cauchyproblem for a second order accurate centered finite difference approximation of u t = ux is analyzed on the semidiscrete level. The existence of generalized eigenvalues is demonstrated for some rare
Subdivision invariant polynomial interpolation
 In Visualization and Mathematics
, 2003
"... HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte p ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte
Orbital Covariance Interpolation
"... This work derives two interpolators to determine the intermediate covariance of a space object’s position. Two considerations are given to the derivations. The first is that the covariance matrix changes direction and shape with orbital motion as reflected in its first and second derivatives with re ..."
Abstract
 Add to MetaCart
This work derives two interpolators to determine the intermediate covariance of a space object’s position. Two considerations are given to the derivations. The first is that the covariance matrix changes direction and shape with orbital motion as reflected in its first and second derivatives
A new fuzzy interpolative reasoning method based on center of gravity
 in Proc. FUZZIEEE’2003
, 2003
"... A new fuzzy interpolative reasoning method based on center of gravity. In Proc. of the International Conference on Fuzzy Systems, volume 1, pages 25–30, ..."
Abstract

Cited by 7 (3 self)
 Add to MetaCart
A new fuzzy interpolative reasoning method based on center of gravity. In Proc. of the International Conference on Fuzzy Systems, volume 1, pages 25–30,
Computational Complexity of Sparse Rational Interpolation
 SIAM J. Comput
, 1991
"... We analyze the computational complexity of sparse rational interpolation, and give the first genuine time (arithmetic complexity does not depend on the size of the coefficients) algorithm for this problem. 1 Max Planck Institute of Mathematics, 5300 Bonn 1, on leave from Steklov Institue of Math ..."
Abstract

Cited by 19 (6 self)
 Add to MetaCart
We analyze the computational complexity of sparse rational interpolation, and give the first genuine time (arithmetic complexity does not depend on the size of the coefficients) algorithm for this problem. 1 Max Planck Institute of Mathematics, 5300 Bonn 1, on leave from Steklov Institue
Results 11  20
of
547