Results 251 to 260 of about 93,551 (286)

Multivariable Curve Interpolation

Journal of the ACM, 1964
The problem of defining a smooth surface through an array of points in space is well known. Several methods of solution have been proposed. Generally, these restrict the set of points to be one-to-one defined over a planar rectangular grid ( X , Y -plane).
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On multivariate Hermite interpolation

Advances in Computational Mathematics, 1995
The authors study the problem of Hermite interpolation by polynomials in several variables. They adopt a very general formulation of this problem, consisting in interpolation of consecutive chains of directional derivatives. By using the notion of blockwise structure introduced by the authors in a previous paper [Math. Comp.
Sauer, Thomas, Xu, Yuan
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Improved Hermite multivariate polynomial interpolation

2006 IEEE International Symposium on Information Theory, 2006
In this paper we give an algorithm with complexity O(mu2 ) to solve Hermite multivariate polynomial interpolation with mu conditions on its Hasse derivatives. In the case of bivariate interpolation used to perform list-decoding on Reed-Solomon of length n and dimension k with multiplicity m on each point, it permits to obtain a complexity in O(n2m4 ...
Gaborit, Philippe, Ruatta, Olivier
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Multivariate Smoothing and Interpolating Splines

SIAM Journal on Numerical Analysis, 1974
A theorem that characterizes spline functions that both smooth and interpolate is given. A bivariate generalization is presented which permits interpolation and smoothing of information which is not necessarily on a rectangular grid. A theorem which involves reproducing kernels for Hilbert spaces unifies this theory.
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On Multivariate Birkhoff Rational Interpolation

2014
Multivariate Birkhoff rational interpolation is the most general algebraic interpolation scheme. There is few literature on this problem due to the complex structure of the rational function and the non-continuity of the orders of the derivative interpolating conditions.
Peng Xia 0002, Bao-Xin Shang, Na Lei
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Multivariate Hermite Interpolation on Riemannian Manifolds

SIAM Journal on Scientific Computing
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ralf Zimmermann 0002, Ronny Bergmann
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Multivariate Rational Interpolation of Scattered Data

2004
Rational data fitting has proved extremely useful in a number of scientific applications. We refer among others to its use in some network problems [6,7,15,16], to the modelling of electro-magnetic components [20,13], to model reduction of linear shift-invariant systems [2,3,8] and so on.
Becuwe, Stefan, Cuyt, Annie A.M., Verdonk, Brigitte   +2 more
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Multivariate Pointwise Interpolation

1993
In this chapter, we consider the problem of interpolation of values of a function and its partial derivatives by multivariate polynomials from a certain finite-dimensional space. The interpolation problem consists of the following components: a) the space of polynomials $$\pi (S) = \{ P:P(x) = P({x_1},...,{x_k}) = \sum\limits_{\alpha ...
B. D. Bojanov, H. A. Hakopian, A. A. Sahakian   +2 more
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Multivariate Interpolation

1984
G. G. Lorentz, R. A. Lorentz
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Optimal Multivariate Interpolation

2005
In this chapter, we are concerned with the problem of multivariate data interpolation. The main focus lies on the concept of minimizing a quadratic form which, in practice, emerges from a physical model, subject to the interpolation constraints. The approach is a natural extension of the one-dimensional polynomial spline interpolation. Besides giving a
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