Results 11 to 20 of about 949,851 (307)
On multiscale quasi-interpolation of scattered scalar- and manifold-valued functions [PDF]
SIAM Journal on Scientific Computing, 2022 We address the problem of approximating an unknown function from its discrete samples given at arbitrarily scattered sites. This problem is essential in numerical sciences, where modern applications also highlight the need for a solution to the case of ...
N. Sharon +2 more
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The Object Oriented c++ library QIBSH++ for Hermite spline Quasi Interpolation [PDF]
arXiv.org, 2022 The library QIBSH++ is a C++ object oriented library for the solution of Quasi Interpolation problems. The library is based on a Hermite Quasi Interpolating operator, which was derived as continuous extensions of linear multistep methods applied for the ...
E. Bertolazzi +2 more
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Multilevel quasi-interpolation
IMA Journal of Numerical Analysis, 2022 AbstractQuasi-interpolation methods are well-established tools in multivariate approximation. They are efficient as they do not require, in contrast to interpolation, the solution of a linear system. Quasi-interpolations are often first studied on infinite grids.
Franz, Tino, Wendland, Holger
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Spline based Hermite quasi-interpolation for univariate time series
Discrete & Continuous Dynamical Systems - S, 2022 In this article the authors introduce a spline Hermite quasi-interpolation technique for the preprocessing operations of imputation and smoothing of univariate time series.
Antonella Falini +2 more
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On spline quasi-interpolation through dimensions
Annali dell?Università di Ferrara, 2022 The approximation of functions and data in one and high dimensions is an important problem in many mathematical and scientific applications. Quasi-interpolation is a general and powerful approximation approach having many advantages.
C. Dagnino, P. Lamberti, S. Remogna
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Weighted Quasi-Interpolant Spline Approximations of Planar Curvilinear Profiles in Digital Images
Mathematics, 2021 The approximation of curvilinear profiles is very popular for processing digital images and leads to numerous applications such as image segmentation, compression and recognition.
Andrea Raffo, Silvia Biasotti
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Bivariate multiquadric quasi-interpolation operators of Lidstone type
AIMS Mathematics, 2023 In this paper, a kind of bivariate multiquadric quasi-interpolant with the derivatives of a approximated function is studied by combining the known multiquadric quasi-interpolant with the generalized Taylor polynomials that act as the bivariate Lidstone ...
Ruifeng Wu
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Axioms, 2023 The aim of this paper is to present and study nonlinear bivariate C1 quadratic spline quasi-interpolants on uniform criss-cross triangulations for the approximation of piecewise smooth functions.
Francesc Aràndiga, Sara Remogna
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Splines Parameterization of Planar Domains by Physics-Informed Neural Networks
Mathematics, 2023 The generation of structured grids on bounded domains is a crucial issue in the development of numerical models for solving differential problems. In particular, the representation of the given computational domain through a regular parameterization ...
Antonella Falini +3 more
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Journal of Inequalities and Applications, 2023 In this paper, a kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator is studied by combining the known multiquadric quasi-interpolation operator with the generalized Taylor polynomial as the expansion in the bivariate Bernoulli ...
Ruifeng Wu
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