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Generator, multiquadric generator, quasi-interpolation and multiquadric quasi-interpolation

Applied Mathematics-A Journal of Chinese Universities, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Zongmin, Ma, Limin
openaire   +1 more source

Random sampling and polynomial-free interpolation by Generalized MultiQuadrics

Journal of Approximation Theory
We prove that interpolation matrices for Generalized MultiQuadrics (GMQ) of order greater than one are almost surely nonsingular without polynomial addition, in any dimension and with any continuous random distribution of sampling points. We also include
A. Sommariva, M. Vianello
semanticscholar   +1 more source

Fractal Multiquadric Interpolation Functions

SIAM Journal on Numerical Analysis
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Kumar   +2 more
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Multiquadric surfaces in C

Computers & Geosciences, 1994
Abstract Hardy's multiquadric method is used as a basis for fitting irregular, continuous surfaces where z = f ( x , y ). Four stages are involved in the implementation of the method: (1) solution of a system of simultaneous, linear equations; (2) interpolation of new z values, using a multiquadric equation, for any number of locations within ...
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Multiquadrant digital analysis of shoulder capsular thickness

Arthroscopy, 2000
Abstract Purpose: Nonablative thermal capsular shrinkage has been developed in an attempt to address the plastic capsule deformation thought to cause increased rates of recurrent instability following arthroscopic stabilization procedures.
W J, Ciccone   +5 more
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Univariate Lidstone-type multiquadric quasi-interpolants

Computational and Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruifeng Wu, Huilai Li, Tieru Wu
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Repeated Knots in Least Squares Multiquadric Functions

1995
A previous paper by the authors [2] noted that there was a strong tendency to obtain near-repeated knots in their algorithm for least squares approximation of scattered data by multiquadric functions. In this paper we observe that this leads naturally to the inclusion of derivatives of the multiquadric basis function in the approximation, and give an ...
Franke, Richard H.   +2 more
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Use of Multiquadric Interpolation for Meteorological Objective Analysis

Monthly Weather Review, 1994
Abstract The method of multiquadric interpolation is described and compared to the Barnes and Cressman methods of meteorological objective analysis. The method of multiquadric interpolation uses hyperboloid radial basis functions to fit scattered data to a uniform grid.
Nuss, Wendell A., Titley, David W.
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Applying multiquadric quasi-interpolation to solve Burgers’ equation

Applied Mathematics and Computation, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ronghua Chen, Zongmin Wu
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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
openaire   +1 more source

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