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Min-max interpolators and Lagrange interpolation formula
2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353), 2003For oversampled band-limited signals, min-max optimal interpolators have been proposed under assumptions upon either the signal to be interpolated itself (e.g. finite energy) or its Fourier transform. In this paper, we consider the case where the signal is assumed to be bounded.
Jean-Jacques Fuchs, Bernard Delyon
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On summability of weighted Lagrange interpolation. I
Acta Mathematica Hungarica, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Szili, L., Vértesi, P.
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POSITION-DEPENDENT LAGRANGE INTERPOLATING MULTIRESOLUTIONS
International Journal of Wavelets, Multiresolution and Information Processing, 2007This paper is devoted to the construction of interpolating multiresolutions using Lagrange polynomials and incorporating a position dependency. It uses the Harten's framework21 and its connection to subdivision schemes. Convergence is first emphasized.
Jean Baccou, Jacques Liandrat
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A Note on Schuster's Lagrange Interpolation Method
International Journal of Shape Modeling, 2006Summary: A harmonic interpolation of a polygon (for odd and even numbers of points forming the polygon) used in computer graphics is derived from the primary permutation matrix using the spectral decomposition of the matrix. This is a technique to draw closed curves. We compare these curves with interpolating periodic splines.
Alexandre Hardy, Willi-Hans Steeb
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On lagrange and hermite interpolation. I
Acta Mathematica Hungarica, 1987For Lagrange interpolation of degree at most n-1, and other two kinds of Hermite interpolation (one has degree at most m and the other has minimal degree m), the author proves their convergence to higher derivatives and gives each of them an estimate order of approximation to higher derivatives.
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Interpolation Schedule for the Lagrange Formula
Nature, 1946THE Lagrange interpolation formula is particularly valuable when it is desired to interpolate (or extrapolate to a moderate extent) into a series in which the independent variable moves in unequal steps. The formula takes the form where y takes on values y1, y2... yn for values of x of x1, x2, x3...
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On simultaneous approximation by lagrange interpolating polynomials
Approximation Theory and its Applications, 1998This paper gives an estimation of the rate of convergence of modified Lagrange interpolation.
Xie, T. F., Zhou, S. P.
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Lagrange Interpolation for Upsampling
International Journal of Multimedia and Ubiquitous Engineering, 2015In this paper, we compare well known interpolation methods such as nearest neighbor, bilinear, bicubic, triangle kernel, and Lagrangian interpolation method. Reconstruction errors from above interpolation methods are compared using test image. From the simulation results, it can be found that Lagrangian method outperforms all other upsampling methods ...
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Parallel Lagrange interpolation on the star graph
Proceedings 14th International Parallel and Distributed Processing Symposium. IPDPS 2000, 2002This paper introduces a parallel algorithm for computing an N=n!-point Lagrange interpolation on an n-star (n>2). It exploits several communication techniques on stars in a novel way which can be adapted for computing similar functions. The algorithm is optimal and consists of three phases: initialization, main and final.
Hamid Sarbazi-Azad +3 more
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Approximation Constants in Equidistant Lagrange Interpolation
Periodica Mathematica Hungarica, 2000In a previous paper [Arch. Math. 74, 385-391 (2000; Zbl 0962.41001)] the author established estimations from below and from above for \(L_n(|x|^\alpha,0)\), \(n=2m-1\), \(m\in N\), \(0\leq\alpha\leq 1\). He proved the double inequality \[ \frac 2{\pi}\frac 1{n^{\alpha}}\leq L_n(|x|^\alpha,0) \leq \frac 1{n^{\alpha}}, \] where both constants \(2/\pi ...
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