Results 1 to 10 of about 2,870 (161)
Creating Digital Watermarks in Bitmap Images Using Lagrange Interpolation and Bezier Curves [PDF]
Journal of Imaging, 2023 The article is devoted to the introduction of digital watermarks, which formthe basis for copyright protection systems. Methods in this area are aimed at embedding hidden markers that are resistant to various container transformations.
Aigerim Yerimbetova +7 more
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Lagrange Interpolation Learning Particle Swarm Optimization. [PDF]
PLoS ONE, 2016 In recent years, comprehensive learning particle swarm optimization (CLPSO) has attracted the attention of many scholars for using in solving multimodal problems, as it is excellent in preserving the particles' diversity and thus preventing premature ...
Zhang Kai, Song Jinchun, Ni Ke, Li Song
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Barycentric Lagrange Interpolation [PDF]
SIAM Review, 2004 Summary: Barycentric interpolation is a variant of Lagrange polynomial interpolation that is fast and stable. It deserves to be known as the standard method of polynomial interpolation.
Jean-Paul Berrut, Lloyd N Trefethen
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A method of summability of Lagrange interpolation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1994 The author uses in this paper a technique from numerical integration (see [9]) to get a discretely defined operator, which is a modification of the Lagrange operator.
Detlef H. Mache
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Harmonic Vector Error Analysis Based on Lagrange Interpolation
IEEE Access, 2021 With the development of smart substations and the promotion of 61850 standards, sampling values based on IEC61850-9-2 have become an important part of smart substation construction.
Zhaoyun Zhang, Qitong Wang, Zhi Zhang
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An extension of Lagrange interpolation formula and its applications [PDF]
Mathematics and Computational Sciences, 2023 In this work, a new type of interpolation formula is introduced. These formulas can be an extension of the Lagrange interpolation formula. The error of this new type of interpolation is calculated. In order to display efficiency of the proposed formulas,
Mohammad Ali Jafari, Azim Aminataei
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Lagrange Multivariate Polynomial Interpolation: A Random Algorithmic Approach
Journal of Applied Mathematics, 2022 The problems of polynomial interpolation with several variables present more difficulties than those of one-dimensional interpolation. The first problem is to study the regularity of the interpolation schemes.
A. Essanhaji, M. Errachid
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Journal of Mathematics, 2022 In the paper, we study the upper bound estimation of the Lebesgue constant of the bivariate Lagrange interpolation polynomial based on the common zeros of product Chebyshev polynomials of the second kind on the square −1,12. And, we prove that the growth
Juan Liu, Laiyi Zhu
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Mean convergence of Lagrange interpolation
Journal of Approximation Theory, 2023 In this note we prove mean convergence of Lagrange interpolation at the zeros of para-orthogonal polynomials for measures in the unit circle which does not belong to Szegő's class in the unit circle. When the measure is in Szegő's class mean convergence of Lagrange interpolation is proved for functions in the disk algebra.
Glenier Bello, Manuel Bello Hernández
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Lagrange–Chebyshev Interpolation for image resizing [PDF]
Mathematics and Computers in Simulation, 2022 Image resizing is a basic tool in image processing and in literature we have many methods, based on different approaches, which are often specialized in only upscaling or downscaling. In this paper, independently of the (reduced or enhanced) size we aim to get, we approach the problem at a continuous scale where the underlying continuous image is ...
Occorsio D, Ramella G, Themistoclakis W
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