Results 1 to 10 of about 27,166 (113)

A kind of multiquadric quasi-interpolation operator satisfying any degree polynomial reproduction property to scattered data

Journal of Computational and Applied Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Renzhong Feng, Xun Yu Zhou
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A shape-preserving quasi-interpolation operator satisfying quadratic polynomial reproduction property to scattered data

Journal of Computational and Applied Mathematics, 2008
A new univariate quasi-interpolation operator \({\mathcal L}_d:\, f\mapsto{\mathcal L}_d(f;\, x)\) is introduced over the space of continuous real-valued functions.
Renzhong Feng, Feng Li
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Quasi-interpolation scheme for arbitrary dimensional scattered data approximation based on natural neighbors and RBF interpolation

Journal of Computational and Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Renzhong Feng, Shun Peng
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Rational Quasi-Interpolation Approximation of Scattered Data in $\mathbb{R}^3$

Numerical Mathematics: Theory, Methods and Applications, 2018
Renzhong Feng and Lifang Song, Lifang Song   +1 more
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An Efficient Scattered Data Approximation Using Multilevel B-Splines Based on Quasi-Interpolants [PDF]

Fifth International Conference on 3-D Digital Imaging and Modeling (3DIM'05), 2005
In this paper, we propose an efficient approximation algorithm using multilevel B-splines based on quasi-interpolants. Multilevel technique uses a coarse to fine hierarchy to generate a sequence of bicubic B-spline functions whose sum approaches the desired interpolation function. To compute a set of control points, quasi-interpolants gives a procedure
null Byung-Gook Lee, null Joon Jae Lee, null Jaechil Yoo   +2 more
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Local RBF approximation for scattered data fitting with bivariate splines [PDF]

, 2005
In this paper we continue our earlier research [4] aimed at developing effcient methods of local approximation suitable for the first stage of a spline based two-stage scattered data fitting algorithm.
A. Björck, A. Iske, H. Wendland, J.R. McMahon, K. Jetter, L.L. Schumaker, M.S. Floater, O. Davydov, R. Schaback, R. Schaback   +9 more
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Quasi-interpolants Based Multilevel B-Spline Surface Reconstruction from Scattered Data [PDF]

, 2005
This paper presents a new fast and local method of 3D surface reconstruction for scattered data. The algorithm makes use of quasi-interpolants to compute the control points from a coarse to fine hierarchy to generate a sequence of bicubic B-spline functions whose sum approaches to the desired interpolation function. Quasi-interpolants gives a procedure
Byung-Gook Lee, Joon-Jae Lee, Ki-Ryoung Kwon   +2 more
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Partition of unity interpolation using stable kernel-based techniques [PDF]

, 2016
In this paper we propose a new stable and accurate approximation technique which is extremely effective for interpolating large scattered data sets.
Cavoretto, R., De Marchi, S., De Rossi, A., Perracchione, E., Santin, G.   +4 more
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A High-Order Kernel Method for Diffusion and Reaction-Diffusion Equations on Surfaces [PDF]

, 2012
In this paper we present a high-order kernel method for numerically solving diffusion and reaction-diffusion partial differential equations (PDEs) on smooth, closed surfaces embedded in $\mathbb{R}^d$. For two-dimensional surfaces embedded in $\mathbb{R}^
Fuselier, Edward J., Wright, Grady B.
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Approximate Approximations from scattered data

, 2005
The aim of this paper is to extend the approximate quasi-interpolation on a uniform grid by dilated shifts of a smooth and rapidly decaying function on a uniform grid to scattered data quasi-interpolation.
Lanzara, F., Maz'ya, V., Schmidt, G.
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