Results 21 to 30 of about 1,054,196 (331)
Multivariate Anisotropic Interpolation on the Torus [PDF]
, 2014 We investigate the error of periodic interpolation, when sampling a function on an arbitrary pattern on the torus. We generalize the periodic Strang-Fix conditions to an anisotropic setting and provide an upper bound for the error of interpolation. These
C Boor de +11 more
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Alpha-1 Antitrypsin Deficiency PI*Z and PI*S Gene Frequency Distribution Using on Maps of the World by an Inverse Distance Weighting (IDW) Multivariate Interpolation Method. [PDF]
Hepat Mon, 2012 1.Background Currently, there is a remarkable lack of genetic epidemiological studies on alpha 1-antitrypsin (AAT) deficiency in about half of the 193 countries of the World.
Blanco I +4 more
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Generalized recursive multivariate interpolation [PDF]
Mathematics of Computation, 1972 A generalized recursive interpolation technique for a set of linear functionals over a set of general univariate basis functions has been previously developed. This paper extends these results to restricted multivariate interpolation over a set of general multivariate basis functions. When the data array is a suitable configuration (e.g., an n
Earl McKinney
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Cardinal interpolation by multivariate splines [PDF]
Mathematics of Computation, 1987 The purpose of this paper is to investigate cardinal interpolation using locally supported piecewise polynomials. In particular, the notion of a commutator is introduced and its connection with the Marsden identity is observed. The order of a commutator is shown to be equivalent to the Strang and Fix conditions that arise in the study of the local ...
Charles K. Chui, Κ. Jetter, J. D. Ward
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Symmetry in multivariate ideal interpolation
Journal of Symbolic Computation, 2022 An interpolation problem is defined by a set of linear forms on the (multivariate) polynomial ring and values to be achieved by an interpolant. For Lagrange interpolation the linear forms consist of evaluations at some nodes,while Hermite interpolation also considers the values of successive derivatives. Both are examples of ideal interpolation in that
Erick D. Rodríguez Bazan, E. Hubert
semanticscholar +3 more sources
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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An estimate for multivariate interpolation II
Journal of Approximation Theory, 2006 AbstractSuppose u is a function on a domain Ω in Rn all of whose mth order distributional derivatives are in Lp(Ω) and m is sufficiently large to imply that u is continuous. If the values of u on a sufficiently dense, but not necessarily regular, grid of points are in lp we obtain an estimate of the Lp(Ω) norm of u in terms of the lp norm of these ...
W. R. Madych
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On the singularity of multivariate Hermite interpolation
Journal of Computational and Applied Mathematics, 2013 In this paper we study the singularity of multivariate Hermite interpolation of type total degree. We present a method to judge the singularity of the interpolation scheme considered and by the method to be developed, we show that all Hermite interpolation of type total degree on $m=d+k$ points in $\R^d$ is singular if $d\geq 2k$. And then we solve the
Zhaoliang Meng, Zhongxuan Luo
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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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Water, 2023 Artisanal and small-scale gold mining activities have an impact on natural resources and human health. This study addresses the assessment of surface water quality in the Lom gold basin.
Marie Sorella Bella Atangana +2 more
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