Results 11 to 20 of about 57,420 (165)
Curvature based characterization of radial basis functions: application to interpolation
Mathematical Modelling and Analysis, 2023 Choosing the scale or shape parameter of radial basis functions (RBFs) is a well-documented but still an open problem in kernel-based methods. It is common to tune it according to the applications, and it plays a crucial role both for the accuracy and ...
Mohammad Heidari +2 more
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Performance of Multilayer Perceptron Neural Network Models and Radial-Based Functions in Estimation of Sugar-cane Crop Yield [PDF]
Journal of Agricultural Science and Sustainable Production, 2020 Background and objective: According to the high importance of sustainable crop production in the agro-industry units, intelligent systems such as artificial neural networks should be used to manage farm units.Therefore, the main purpose of this study was
Sina Sharifi +2 more
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A Fast Solution for the Generalized Radial Basis Functions Interpolant
IEEE Access, 2020 In this paper, we propose a fast solution method of the generalized radial basis functions interpolant for global interpolation. The method can be used to efficiently interpolate large numbers of geometry constraints for implicit surface reconstruction ...
Deyun Zhong, Liguan Wang, Lin Bi
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Radial Basis Functions for the Sphere [PDF]
, 2001 In this paper we compute the ultraspherical series expansions for the more commonly used radial basis functions. In several special cases we provide asymptotic estimates for the decay rate of the coefficients involved. knowledge of the decay rate of these coefficients is useful because they enable error estimates for spherical interpolation.
Hubbert, Simon, Baxter, Brad J.C.
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Trefftz radial basis functions (TRBF)
Computer Assisted Methods in Engineering and Science, 2022 The TRBF's are radial functions satisfying governing equation in the domain. They can be used as interpolation functions of the field variables especially in boundary methods.
Vladimir Kompis +3 more
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Engineering Reports, 2019 Radial basis functions (RBFs), first proposed for interpolation of scattered data, have gotten the scientific community interest in the past two decades, with applications ranging from interpolation with the dual reciprocity approach of the boundary ...
Fernando César Meira Menandro
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Radial Basis Functions Approximation Method for Time-Fractional FitzHugh–Nagumo Equation
Fractal and Fractional, 2023 In this paper, a numerical approach employing radial basis functions has been applied to solve time-fractional FitzHugh–Nagumo equation. Spatial approximation is achieved by combining radial basis functions with the collocation method, while temporal ...
Mehboob Alam +4 more
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Partial Differential Equations in Applied Mathematics, 2021 The localized method is one of the popular approaches in solving large-scale problems in science and engineering. In this paper, we implement the localized method of particular solutions using polynomial basis functions for solving various nonlinear ...
T. Dangal +2 more
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On Spherical Averages of Radial Basis Functions [PDF]
Foundations of Computational Mathematics, 2008 First of all the author proves that the spherical average operator \(A,\) \[ Af(x)=\int_{S^{d-1}}f(\| x\|\theta)d\mu(\theta),\quad x\in\mathbb R^d, \] (where \(\|\cdot\|\) denotes the Euclidean norm and \(\mu\) is the probability \((d-1)\)-dimensional Lebesgue measure on the unit sphere \((S^{d-1})\) and the Fourier transform operator \(F\) commute ...
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Dynamics Model Abstraction Scheme Using Radial Basis Functions
Journal of Control Science and Engineering, 2012 This paper presents a control model for object manipulation. Properties of objects and environmental conditions influence the motor control and learning.
Silvia Tolu +4 more
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