Results 11 to 20 of about 865 (215)
Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks [PDF]
This paper presents numerical solution of elliptic partial differential equations (Poisson's equation) using a combination of logarithmic and multiquadric radial basis function networks.
Mohammad Mehdi Mazarei, Azim Aminataei
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Sparse approximate multiquadric interpolation
The authors consider the following problem: given a set \(S\) of samples of a multivariate function \(f\) and an error tolerance \(\delta\), find the smallest set of points \(T \subseteq S\) such that if \(M\) is the multiquadric interpolant of \(T\), then the relative error between \(M\) and \(f\) over \(S\) is at most \(\delta\).
Carlson, R.E., Natarajan, B.K.
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Multiquadric prewavelets on nonequally spaced knots in one dimension [PDF]
In this paper, we identify univariate prewavelets on spaces spanned by translates of multiquadric functions and other radial basis functions with nonequally spaced centers (or "knots"). Although the multiquadric function and its relations are our prime examples, the theory is sufficiently ...
M. D. Buhmann
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Bivariate High-Accuracy Hermite-Type Multiquadric Quasi-Interpolation Operators
In this paper, a kind of Hermite-type multiquadric quasi-interpolation operator is constructed by combining an extended univariate multiquadric quasi-interpolation operator with a bivariate Hermite interpolation polynomial.
Ruifeng Wu
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Use of Multiquadric Interpolation for Meteorological Objective Analysis [PDF]
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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The parameter R2 in multiquadric interpolation
For bivariate interpolation to the data \((x_ i,y_ i,z_ i)\) where the \((x_ i,y_ i)\) are arbitrary points the multiquadric method has been frequently applied [for references, see: \textit{R. L. Hardy}, Comput. Math. Appl. 19, 163-208 (1990; Zbl 0692.65003)]. The accuracy of the method depends on a user defined parameter \(R^ 2\). In the present paper
Carlson, Ralph E., Foley, Thomas A.
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Multiquadric Spline-Based Interactive Segmentation of Vascular Networks. [PDF]
Commonly used drawing tools for interactive image segmentation and labeling include active contours or boundaries, scribbles, rectangles and other shapes. Thin vessel shapes in images of vascular networks are difficult to segment using automatic or interactive methods.
Meena S +7 more
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Multiquadric quasi-interpolation is an efficient high-dimensional approximation algorithm. It can directly obtain the approximation term and its derivatives without solving any large-scale linear equations.
Ruifeng Wu
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This paper proposes a computational procedure to resolve the temporal fractional financial option pricing partial differential equation (PDE) using a localized meshless approach via the multiquadric radial basis function (RBF).
Jia Li +5 more
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Applying multiquadric quasi-interpolation for boundary detection
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qinjiao Gao, Zongmin Wu, Shenggang Zhang
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