منابع مشابه
Natural neighbour Galerkin methods
Natural neighbour co-ordinates (Sibson co-ordinates) is a well-known interpolation scheme for multivariate data tting and smoothing. The numerical implementation of natural neighbour co-ordinates in a Galerkin method is known as the natural element method (NEM). In the natural element method, natural neighbour co-ordinates are used to construct the trial and test functions. Recent studies on NE...
متن کاملOverview and Recent Advances in Natural Neighbour Galerkin Methods
In this paper, a survey of the most relevant advances in natural neighbour Galerkin methods is presented. In these methods (also known as natural element methods, NEM), the Sibson and the Laplace (non-Sibsonian) interpolation schemes are used as trial and test functions in a Galerkin procedure. Natural neighbour-based methods have certain unique features among the wide family of so-called meshl...
متن کاملApplication of Meshless Natural Neighbour Petrov-Galerkin Method in Temperature Field
In Meshless natura1 neighbour Petrov-Galerkin method, The natural neighbour interpolation is used as trial function and a weak form over the local polygonal sub-domains constructed by Delaunay triangular is used to obtain the discretized system of equilibrium equations, and it’s a new truly meshless method. This method simplified the formation of the equilibrium equations, facilitates the impos...
متن کامل2D Image Reconstruction Using Natural Neighbour Interpolation
In this paper, we explore image reconstruction from irregularly spaced samples using natural neighbour interpolation. We sample the image irregularly using techniques based on the Laplacian or the derivative in the direction of the gradient. Local coordinates based on the Voronoi diagram are used in natural neighbour interpolation to quantify the \neighbourliness" of data sites. Then we use nat...
متن کاملNearest-neighbour classifiers in natural scene analysis
It is now well-established that k nearest-neighbour classi"ers o!er a quick and reliable method of data classi"cation. In this paper we extend the basic de"nition of the standard k nearest-neighbour algorithm to include the ability to resolve con#icts when the highest number of nearest neighbours are found for more than one training class (model-1). We also propose model-2 of nearest-neighbour ...
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ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Engineering
سال: 2000
ISSN: 0029-5981,1097-0207
DOI: 10.1002/1097-0207(20010110)50:1<1::aid-nme14>3.0.co;2-p