Results 111 to 120 of about 1,276 (137)

Sampling and recovery using multiquadrics

2015 International Conference on Sampling Theory and Applications (SampTA), 2015
We survey recent results in the subject of interpolating bandlimited functions from their samples at both uniform and nonuniform sets via translates of a family of multiquadrics. Recovery of the original function is considered by means of a limiting process which changes a shape parameter associated with the multiquadric function.
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Surface Reconstruction by the Multiquadric Function

2012 Fourth International Conference on Computational and Information Sciences, 2012
A new experimental method was introduced in this paper, in which the Multiquadric function interpolation with scattered data points was used for surface reconstruction. Through the comparison of experiments and error analysis, we get the relative efficient proportion of interpolation nodes.
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The application of Multiquadric function in surface reconstruction

2011 International Conference on Mechatronic Science, Electric Engineering and Computer (MEC), 2011
This paper proposed a new experimental method about Multiquadric function interpolation with scattered data points for surface reconstruction. Through the comparison of experiments and error analysis, we get some values of scale parameter in the Multiquadric function for good reconstruction quality.
Junbo Liu, Dejun Liu, Fushun Gao
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Applying multiquadric quasi-interpolation to solve Burgers’ equation

Applied Mathematics and Computation, 2006
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Ronghua Chen, Zongmin Wu
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The shape preserving ang high accuracy approximation with multiquadric

Applied Mathematics, 1996
Given scattered data \(\{x_j,f_j\}\), the authors investigate some representations in terms of the radial function \(\varphi_j= [c^2+ |x-x_j|^2]^{1/2}\) and, for constant \(x_{j+1}-x_j=h\), the symmetric difference \(\psi_i=(\varphi_{i+1}- 2\varphi_i+\varphi_{i-1})/2h\). The coefficients of the approximating functions are divided differences.
Wu, Zongmin, Liu, Jianpin
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Multiquadric Solution for Shallow Water Equations

Journal of Hydraulic Engineering, 1999
A computational algorithm based on the multiquadric, which is a continuously differentiable radial basis function, is devised to solve the shallow water equations. The numerical solutions are evaluated at scattered collocation points and the spatial partial derivatives are formed directly from partial derivatives of the radial basis function, not by ...
Yiu-Chung Hon, Kwok Fai Cheung, Xian-Zhong Mao, Edward J. Kansa   +3 more
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Semi-infinite cardinal interpolation with multiquadrics and beyond

Advances in Computational Mathematics, 2006
The author considers the problem of interpolation on a semi-space grid of multi-integer points in \({\mathbb R}^n\) from the native space generated by a radial basis function (RBF) \(\phi:{\mathbb R}^n\rightarrow{\mathbb R}\). Let \(| x |\) denote the Euclidean norm of \(x\in{\mathbb R}^n\).
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A Robust Multiquadric Method for Digital Elevation Model Construction

Mathematical Geosciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Chuanfa, Li, Yanyan
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A Multiquadric Interpolation Method for Solving Initial Value Problems

Journal of Scientific Computing, 1997
The authors propose a new interpolation method for the numerical solution of the initial value problem for an \(n\)th order linear ordinary differential equation. The method is based on the application of the multiquadric scheme for global interpolation of the solution and then on the collocation to obtain the equations for the unknown coefficients ...
Hon, Y. C., Mao, X. Z.
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Stable multiquadric approximation by local thinning

2010
In this paper our concern is the recovery of a highly regular function by a discrete set $X$ of data with arbitrary distribution. We consider the case of a nonstationary multiquadric interpolant that presents numerical breakdown. Therefore we propose a global least squares multiquadric approximant with a center set $T$ of maximal size and obtained by a
M Bozzini, L Lenarduzzi
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