Results 181 to 190 of about 27,256 (210)

Scattered data quasi‐interpolation on spheres

Mathematical Methods in the Applied Sciences, 2014
This paper studies the construction and approximation of quasi‐interpolation for spherical scattered data. First of all, a kind of quasi‐interpolation operator with Gaussian kernel is constructed to approximate the spherical function, and two Jackson type theorems are established.
Chen, Zhixiang, Cao, Feilong, Li, Ming
openaire   +2 more sources

Generalized Strang?Fix condition for scattered data quasi-interpolation

Advances in Computational Mathematics, 2005
In the approximation theory of shift-invariant spaces, the so-called Strang-Fix conditions are very important. They are conditions under which approximations (especially quasi-interpolation) can reproduce polynomials of certain total degree. In this article, quasi-interpolation is studied for an approximation with scattered data rather than equally ...
Wu, Zong Min, Liu, Jian Ping
openaire   +1 more source

Univariate multiquadric approximation: Quasi-interpolation to scattered data

Constructive Approximation, 1992
The authors study approximations \({\mathcal L}_ A f\), \({\mathcal L}_ B f\) and \({\mathcal L}_ C f\) to a function \(\{f(x)\), \(x_ 0\leq x\leq x_ N\}\) from the space that is spanned by the multiquadrics \(\{\varphi_ j\): \(j=0,1,\dots,N\}\), and by linear polynomials, where \(\varphi_ j(x)=[(x- x_ j)^ 2+c^ 2]^{1/2}\), \(x\in R\) and \(c\) is a ...
Beatson, R. K., Powell, M. J. D.
openaire   +1 more source

Spherical scattered data quasi-interpolation by Gaussian radial basis function

Chinese Annals of Mathematics, Series B, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Zhixiang, Cao, Feilong
openaire   +2 more sources

Quasi-interpolation for surface reconstruction from scattered data with radial basis function

Computer Aided Geometric Design, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Shengjun, Wang, Charlie C.L.
openaire   +1 more source

Multivariate quasi-interpolation inL^p(ℝ^d) with radial basis functions for scattered data

International Journal of Computer Mathematics, 2010
In this paper, quasi-interpolation for scattered data was studied. On the basis of generalized quasi-interpolation for scattered data proposed in [Z.M. Wu and J.P. Liu, Generalized strang-fix condition for scattered data quasi-interpolation, Adv. Comput. Math. 23 (2005), pp.
Zongmin Wu, Zhengchao Xiong
openaire   +1 more source

Basis Functions for Scattered Data Quasi-Interpolation

2015
Given scattered data of a smooth function in \({I\!R}^d\), we consider quasi-interpolation operators for approximating the function. In order to use these operators for the derivation of useful schemes for PDE solvers, we would like the quasi-interpolation operators to be of compact support and of high approximation power.
Nira Gruberger, David Levin
openaire   +1 more source

Scattered data approximation of fully fuzzy data by quasi-interpolation

2019
Fuzzy quasi-interpolations help to reduce the complexity of solving a linear system of equations compared with fuzzy interpolations. Almost all fuzzy quasi-interpolations are focused on the form of $widetilde{f}^{*}:mathbb{R}rightarrow F(mathbb{R})$ or $widetilde{f}^{*}:F(mathbb{R})rightarrow mathbb{R}$.  In this paper, we intend to offer a novel fuzzy
Shakibi, K., Amirfakhrian, M., Kansa, E. J.   +2 more
openaire   +1 more source

Rational Quasi-Interpolation Approximation of Scattered Data in $\mathbb{R}^3$

Numerical Mathematics: Theory, Methods and Applications, 2018
Renzhong Feng null, Lifang Song
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WITHDRAWN: A multiquadric quasi-interpolation operator satisfying the cubic polynomial reproduction property to scattered data

Journal of Computational and Applied Mathematics, 2011
Renzhong Feng, Xun Zhou
openaire   +1 more source