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A Discrete Adapted Hierarchical Basis Solver For Radial Basis Function Interpolation [PDF]

open access: yesBIT Numerical Mathematics, 2012
In this paper we develop a discrete Hierarchical Basis (HB) to efficiently solve the Radial Basis Function (RBF) interpolation problem with variable polynomial order.
Castrillon-Candas, Julio Enrique   +2 more
core   +3 more sources

Application of Imaging Algorithms for Gas–Water Two-Phase Array Fiber Holdup Meters in Horizontal Wells [PDF]

open access: yesSensors
The flow dynamics of low-yield horizontal wells demonstrate considerable complexity and unpredictability, chiefly attributable to the structural attributes of the wellbore and the interplay of gas–water two-phase flow.
Ao Li   +8 more
doaj   +2 more sources

Gaussian Radial Basis Function interpolation in vertical deformation analysis

open access: yesGeodesy and Geodynamics, 2021
In many deformation analyses, the partial derivatives at the interpolated scattered data points are required. In this paper, the Gaussian Radial Basis Functions (GRBF) is proposed for the interpolation and differentiation of the scattered data in the ...
Mohammad Amin Khalili, Behzad Voosoghi
doaj   +1 more source

Application of Basis Functions for Hull Form Surface Modification

open access: yesJournal of Marine Science and Engineering, 2021
Basis functions are key in constructing interpolation equations in hull surface modification based on radial basis functions (RBF) interpolation. However, few have studied the selection of basis functions in depth.
Baiwei Feng   +4 more
doaj   +1 more source

Mesh Free Radial Point Interpolation Based Displacement Recovery Techniques for Elastic Finite Element Analysis

open access: yesMathematics, 2021
The study develops the displacement error recovery method in a mesh free environment for the finite element solution employing the radial point interpolation (RPI) technique. The RPI technique uses the radial basis functions (RBF), along with polynomials
Mohd. Ahmed   +3 more
doaj   +1 more source

Research on criterion of support point selection of radial basis function in hypersonic heat flux interpolation

open access: yesHangkong gongcheng jinzhan, 2023
In order to avoid the problem that the support points selected by the traditional single absolute error criterion are not interpolated accurately when the heat flux is small the radial basis function is used for hypersonic heat flux interpolation.
HONG Haifeng, KANG Zhicong, XIE Liang
doaj   +1 more source

Tuning Shape Parameter of Radial Basis Functions in Zooming Images using Genetic Algorithm [PDF]

open access: yesJournal of Artificial Intelligence and Data Mining, 2018
Image zooming is one of the current issues of image processing where maintaining the quality and structure of the zoomed image is important. To zoom an image, it is necessary that the extra pixels be placed in the data of the image.
A.M Esmilizaini   +2 more
doaj   +1 more source

An Improved Radial Basis Function Interpolation Method in Unstructured Nested Grids

open access: yesHangkong gongcheng jinzhan, 2019
The unstructured hybrid grid has complex topological relation, and is easy to generate the accuracy loss in nested grid while performing the flow field information interpolation.
Jin Chenhui   +3 more
doaj   +1 more source

New Approach for Radial Basis Function Based on Partition of Unity of Taylor Series Expansion with Respect to Shape Parameter

open access: yesAlgorithms, 2020
Radial basis function (RBF) is gaining popularity in function interpolation as well as in solving partial differential equations thanks to its accuracy and simplicity. Besides, RBF methods have almost a spectral accuracy.
Saleh A. Bawazeer   +2 more
doaj   +1 more source

Accuracy assessment and comparison of interpolation methods on geoid models [PDF]

open access: yesGeodetski Vestnik, 2018
In this paper the accuracy of 6 spatial interpolation methods on geoid grid models are tested and compared: Inverse Distance Weighting, Kriging, Minimum Curvature, Natural Neighbour, Radial Basis Function and Moving Average.
Marko Radanović, Tomislav Bašić
doaj   +1 more source

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