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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Lagrange Multivariate Polynomial Interpolation: A Random Algorithmic Approach [PDF]
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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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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Reconfigurable Hardware Implementation of a Multivariate Polynomial Interpolation Algorithm [PDF]
International Journal of Reconfigurable Computing, 2010 Multivariate polynomial interpolation is a key computation in many areas of science and engineering and, in our case, is crucial for the solution of the reverse engineering of genetic networks modeled by finite fields.
Rafael A. Arce-Nazario +2 more
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Partition of Unity Interpolation on Multivariate Convex Domains [PDF]
, 2014 In this paper we present a new algorithm for multivariate interpolation of scattered data sets lying in convex domains $\Omega \subseteq \RR^N$, for any $N \geq 2$.
Roberto Cavoretto +2 more
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On the Singularity of Multivariate Hermite Interpolation of Total Degree [PDF]
Discrete Dynamics in Nature and Society, 2016 We study the singularity of multivariate Hermite interpolation of type total degree on m nodes with 3 ...
Zhongyong Hu +2 more
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Improving Coffee Yield Interpolation in the Presence of Outliers Using Multivariate Geostatistics and Satellite Data [PDF]
AgriEngineeringPrecision agriculture for coffee production requires spatial knowledge of crop yield. However, difficulties in implementation lie in low-sampled areas. In addition, the asynchronicity of this crop adds complexity to the modeling.
César de Oliveira Ferreira Silva +3 more
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Approximation of Anisotropic Pair Potentials Using Multivariate Interpolation. [PDF]
J Phys Chem BFakhraei M, Kieslich CA, Howard MP.
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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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