A Brief Survey of Spherical Interpolation and Approximation Methods for Texture Analysis
Texture, Stress, and Microstructure, Volume 25, Issue 2-4, Page 159-169, 1996., 1996 In texture analysis there are several instances when mathematical methods of spherical interpolation or approximation are required. Ad hoc adaptions of univariate or bivariate methods to the topology of spherical manifolds usually fail in one way or another. Therefore, this contribution will provide a brief survey of genuinely spherical methods.
H. Schaeben
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Sparse approximate multiquadric interpolation [PDF]
, 1994 Multiquadric interpolation is a technique for interpolating nonuniform samples of multivariate functions, in order to enable a variety of operations such as data visualization.
Natarajan, B.K. +3 more
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Numerical Solution of the Nonlinear Klein-Gordon Equation Using Multiquadric Quasi-interpolation Scheme [PDF]
Universal Journal of Applied Mathematics, 2015 This paper's purpose is to provide a numerical scheme to approximate solutions of the nonlinear Klein-Gordon equation by applying the multiquadric quasi-interpolation scheme and the integrated radial basis function network scheme. Our scheme uses θ-weighted scheme for discretization of the temporal derivative and the integrated form of the multiquadric
M. Sarboland, A. Aminataei
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A shape-preserving quasi-interpolation operator satisfying quadratic polynomial reproduction property to scattered data [PDF]
, 2009 In this paper, we construct a univariate quasi-interpolation operator to non-uniformly distributed data by cubic multiquadric functions. This operator is practical, as it does not require derivatives of the being approximated function at endpoints ...
Feng, Renzhong, Li, Feng
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Analysis of laminated shells by a sinusoidalshear deformation theory and Radial Basis Functions collocation, accounting for through-the-thickness deformations [PDF]
, 2011 In this paper, the static and free vibration analysis of laminated shells is performed by radial basis functions collocation, according to a sinusoidal shear deformation theory (SSDT).
Polit, O. +17 more
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MULTIQUADRIC QUASI-INTERPOLATION METHOD FOR FRACTIONAL INTEGRAL-DIFFERENTIAL EQUATIONS
Journal of Applied Analysis & ComputationSummary: In this paper, Multiquadric quasi-interpolation method is used to approximate fractional integral equations and fractional differential equations. Firstly, we construct two operators for approximating the Hadamard integral-differential equation based on quasi interpolators, and verify their properties and order of convergence.
Wang, Ziqiang +3 more
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A quasi-interpolation scheme for periodic data based on multiquadric trigonometric B-splines
Journal of Computational and Applied Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenwu Gao, Zongmin Wu
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Model Order Reduction of Non-Linear Magnetostatic Problems Based on POD and DEI Methods [PDF]
, 2014 In the domain of numerical computation, Model Order Reduction approaches are more and more frequently applied in mechanics and have shown their efficiency in terms of reduction of computation time and memory storage requirements. One of these approaches,
CLENET, Stephane, HENNERON, Thomas
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Computers & Mathematics with Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenwu Gao, Zongmin Wu
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Quasi-interpolations with interpolation property [PDF]
, 2004 Interpolation and quasi-interpolation are very important methods for function approximation. But both of them have their respective disadvantages. The interpolation function can fit the given sample points, but some oscillation may arise as in the case ...
Wang, Jing-Xin, Wang, Ren-Hong
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