Results 1 to 10 of about 14,407 (260)
MULTIVARIATE INTERPOLATION USING POLYHARMONIC SPLINES
Acta Polytechnica, 2021 Data measuring and further processing is the fundamental activity in all branches of science and technology. Data interpolation has been an important part of computational mathematics for a long time. In the paper, we are concerned with the interpolation
Karel Segeth
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MULTIVARIATE AFFINE FRACTAL INTERPOLATION [PDF]
Fractals, 2020 Fractal interpolation functions capture the irregularity of some data very effectively in comparison with the classical interpolants. They yield a new technique for fitting experimental data sampled from real world signals, which are usually difficult to represent using the classical approaches.
Navascués, M.A. +2 more
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On Multivariate Interpolation [PDF]
Studies in Applied Mathematics, 2005 A new approach to interpolation theory for functions of several variables is proposed. We develop a multivariate divided difference calculus based on the theory of noncommutative quasi‐determinants. In addition, intriguing explicit formulae that connect the classical finite difference interpolation coefficients for univariate curves with multivariate ...
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Oversampling Errors in Multimodal Medical Imaging Are Due to the Gibbs Effect
Mathematics, 2021 To analyze multimodal three-dimensional medical images, interpolation is required for resampling which—unavoidably—introduces an interpolation error. In this work we describe the interpolation method used for imaging and neuroimaging and we characterize ...
Davide Poggiali +3 more
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Quantum-inspired algorithms for multivariate analysis: from interpolation to partial differential equations [PDF]
Quantum, 2021 In this work we study the encoding of smooth, differentiable multivariate functions in quantum registers, using quantum computers or tensor-network representations. We show that a large family of distributions can be encoded as low-entanglement states of
Juan José García-Ripoll
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Construction of Multivariate Interpolation Hermite Polynomials for Finite Element Method [PDF]
EPJ Web of Conferences, 2020 A new algorithm for constructing multivariate interpolation Hermite polynomials in analytical form in a multidimensional hypercube is presented. These polynomials are determined from a specially constructed set of values of the polynomials themselves and
Chuluunbaatar Galmandakh +8 more
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Lagrange Multivariate Polynomial Interpolation: A Random Algorithmic Approach
Journal of Applied Mathematics, 2022 The problems of polynomial interpolation with several variables present more difficulties than those of one-dimensional interpolation. The first problem is to study the regularity of the interpolation schemes.
A. Essanhaji, M. Errachid
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On Multivariate Lagrange Interpolation [PDF]
Mathematics of Computation, 1995 Lagrange interpolation by polynomials in several variables is studied through a finite difference approach. We establish an interpolation formula analogous to that of Newton and a remainder formula, both of them in terms of finite differences. We prove that the finite difference admits an integral representation involving simplex spline functions.
Sauer, Thomas, Xu, Yuan
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Interpolation by Multivariate Splines [PDF]
Mathematics of Computation, 1988 A general interpolation scheme by multivariate splines at regular sample points is introduced. This scheme guarantees the local optimal order of approximation to sufficiently smooth data functions. A discussion on numerical implementation is included.
Chui, Charles K. +2 more
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Multivariate interpolation: Preserving and exploiting symmetry [PDF]
Journal of Symbolic Computation, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rodriguez Bazan, Erick, Hubert, Evelyne
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