Results 21 to 30 of about 1,594 (139)

On Quasi-Interpolation and Their Associated Shift-Invariant Space Using a New Class of Generalized Thin Plate Splines and Inverse Multiquadrics [PDF]

Journal of Fourier Analysis and Applications
A new generalization of shifted thin plate splines ϕ(x)=(c2d+||x||2d)logc2d+||x||2d,x∈Rn,d∈N,c>0,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \
Mathis Ortmann, M. Buhmann
semanticscholar   +1 more source

Making conditionally negative definite radial basis function interpolation well-conditioned by adding cardinal basis functions

Ain Shams Engineering Journal, 2018
A class of basis functions so called well-conditioned RBF (WRBFs) has been introduced. This basis has been manipulated by adding cardinal functions to the conditionally negative definite RBFs of order 1, such as Multiquadric functions 1+(∊r)2 (MQ) and ...
Saeed Kazem, Edmund A. Chadwick, Ali Hatam   +2 more
doaj   +1 more source

Solusi Numerik Persamaan Poisson Menggunakan Jaringan Fungsi Radial Basis pada Koordinat Polar

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2015
Persamaan Poisson dalam koordinat polar atau lingkaran merupakan persamaan diferensial parsial linier orde dua tipe eliptis. Persamaan ini merupakan bentuk non homogen dari persamaan Laplace. Persamaan Poisson pada koordinat polar disini menggambarkan
Fatma Mufidah, Mohammad Jamhuri
doaj   +1 more source

The parameter R2 in multiquadric interpolation

Computers & Mathematics with Applications, 1991
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.
openaire   +2 more sources

Two-dimensional convection—diffusion problem solved using method of localized particular solutions

MATEC Web of Conferences, 2017
A meshless local method of approximated particular solutions (LMAPS) is used to analyze problem described by the convection-diffusion equation. The method solves the steady convection-diffusion equation with reaction term.
Mužík Juraj, Holičková Martina
doaj   +1 more source

Two-dimensional beams in rectangular coordinates using the radial point interpolation method

REM: International Engineering Journal, 2019
The three-dimensional Theory of Elasticity equations lead to a complex solution for most problems in engineering. Therefore, the solutions are typically developed for reduced systems, usually symmetrical or two-dimensional. In this context, computational
William Luiz Fernandes, Gustavo Botelho Barbosa, Karine Dornela Rosa, Emanuel Silva, Walliston dos Santos Fernandes   +4 more
doaj   +1 more source

Search for minimum residue to determine the shape parameter in the asymmet-ric method (MESHLESS) to simulation of groundwater flow

Revista Águas Subterrâneas, 2016
The main objective of this research is the application of the Meshless numerical method in two cases of groundwater flow to simulate the hydraulic head variations on the region.
Renata Shirley de Andrade Araújo, Alessandro de Araújo Bezerra, Marco Aurélio Holanda de Castro   +2 more
doaj   +1 more source

Multiquadric spline-based interactive segmentation of vascular networks [PDF]

2016 38th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 2016
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.
Sachin Meena, V. B. Surya Prasath, Yasmin M. Kassim, Richard James Maude, Olga V. Glinskii, Vladislav V. Glinsky, Virginia H. Huxley, Kannappan Palaniappan   +7 more
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Generalized Multiquadric Neural Networks in Image Reconstruction

, 2022
This work aims to numerically investigate the performance of the multiquadric (MQ) radial basis function in more general formats for image reconstruction applications. Desired features, i.e., accuracy and shape parameter sensitivity, of each form is numerically compared and explored.
Pornthip Pongchalee, Pirapong Inthapong, Krittidej Chanthawara, Pichapop Paewpolsong, Sayan Kaennakham   +4 more
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Explicit Runge-Kutta Methods with Multiquadric and Inverse Multiquadric Radial Basis Functions

International Journal of Computational Methods
In this article, a family of two- and three-stage explicit multiquadric (MQ) and inverse multiquadric (IMQ) radial basis functions (RBFs) Runge-Kutta methods are introduced for solving ordinary differential equations. These methods are developed by utilizing MQ- and IMQ-RBF Euler methods.
Mahata, Shipra, Rathan, Samala
openaire   +3 more sources