[PDF] Top 20 Interpolation with circular basis functions

... The interpolants that we have derived so far have a rather simple form. However, to investigate their accuracy it is useful, as we shall see, to consider their representations in terms of trigonometric functions ... See full document

... basic functions: thin-plate spline, spline with tension, completely regularized spline, multiquadric function, and inverse multiquadric ...Radial basis function are described in Bishop ... See full document

... polynomial interpolation algorithms to interpolate a sparse rational ...lattice basis reduction, a process that can be applied to sparse ra- tional function vector recovery ...function interpolation ... See full document

... have global support, this method produces a dense matrix A. The matrix A can be shown to be positive definite (and therefore nonsingular) for distinct interpolation points for GA, IMQ and IQ by Schoenberg’s Theorem ... See full document

... A circular domain is a domain that is obtained by removing a finite number of dis- joint closed subdisks from the open unit disk. We can assume that each removed closed subdisk has a positive radius since otherwise ... See full document

... Radial Basis Function Net- works (RBFNs) as interpolation functions for all boundary values in the Boundary Ele- ment Method (BEM) for the numerical solution of heat transfer ...of functions ... See full document

... linear interpolation because it provides a measure of how close the interpolant of a function is to the best polynomial approximant of the ...Lagrange basis, then the Lebesgue constant also expresses ... See full document

... of circular and rectangular microstrip patch antennas in the spectral ...Green’s functions for the structure and takes into account the surface wave effects on both the feed and the patch dielectric ... See full document

... the basis of integer algorithms of digital linear interpolation (ruler) and circular interpolation (compass), algorithms of measurement of angular motions (protractor), determination of ... See full document

... the interpolation region, the computation of the integral on the right side of equation (7) inevitably requires information about the function S  It+Të n M H ÿ L outside the interpolation ...interpolating ... See full document

... We consider the problem of approximating a given function by a class of simpler functions, mainly polynomials. There are two main uses of interpolation or interpolating polynomials. The first use is ... See full document

... generalized functions is a very well developed mathematics subject crucial for rigorous analysis of many applied ...generalized functions are used ... See full document

... image interpolation is to produce acceptable images at different resolutions from a single low-resolution image ...Image interpolation is used for several different purposes such as image resolution ... See full document

... see [3] At the end of paper [3], they speculated that "it would be interesting to construct a matrix which is optimal for all the derivatives up to order r." This is the problem of const[r] ... See full document

... We suggest an improvement of Wu-Schaback local error bound for radial basis interpolation by using a polynomial growth function. The new bound is valid with- out any assumptions about the density of the ... See full document

... Hubbert, Simon and Baxter, Brad J.C. (2001) Radial basis functions for the sphere. In: Haussmann, W. and Jetter, K. and Reimer, M. (eds.) Recent Progress in Multivariate Approximation. 4th International ... See full document

... H stands for hydrogen-like functions and ionic for a free-ion like radial function. The parameter n stands for the main/radial quantum number, l denotes the angular momentum quantum number (s, p, d, f, …), and z ... See full document

... In 62, Washington constructed one-variable p-adic-L-function which interpolates gen- eralized classical Bernoulli numbers negative integers. Kim 22 investigated the p-adic analogues of two-variables Euler q-L-function. ... See full document

... The purpose of this article is to establish some exponential approximation inequalities which improve the ones of (1.1)–(1.4). We prove these results for circular functions by us- ing the properties of ... See full document

... In 14, Kim defined new generating functions of q-Genocchi, q-Euler polynomials and their interpolation functions. In this paper, we give another definition of the multiple Hurwitz type q-zeta ... See full document