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On computing modified moments for half-range Hermite weights
In this paper, we consider the computation of the modified moments for the system of Laguerre polynomials on the real semiaxis with the Hermite...
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Watermarking approach based on Hermite transform and a sliding window algorithm
Nowadays, the distribution of huge amounts of medical images through open networks in telemedicine applications has become increasingly faster and...
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An Hermite–Obreshkov method for 2nd-order linear initial-value problems for ODE
The numerical solution of initial-value problems (IVP) for ordinary differential equations (ODE) is at this time a mature subject, with many...
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Second Order Moments of Multivariate Hermite Polynomials in Correlated Random Variables
Polynomial chaos methods can be used to estimate solutions of partial differential equations under uncertainty described by random variables. The...
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Error bounds for septic Hermite interpolation and its implementation to study modified Burgers’ equation
In this paper, the orthogonal collocation technique with septic Hermite splines as basis function is used to find the numerical solution of...
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Detection of Covid-19 in Chest X-Ray Images Using Percolation Features and Hermite Polynomial Classification
Covid-19 is a serious disease caused by the Sars-CoV-2 virus that has been first reported in China at late 2019 and has rapidly spread around the...
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GenHarris-ResNet: A Rotation Invariant Neural Network Based on Elementary Symmetric Polynomials
In this paper, we propose a rotation invariant neural network based on Gaussian derivatives. The proposed network covers the main steps of the Harris...
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Blossoming and Hermite-Padé approximation for hypergeometric series
Based on the blossoming theory, in this work we develop a new method for deriving Hermite-Padé approximants of certain hypergeometric series. Its...
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FPGA-orthopoly: a hardware implementation of orthogonal polynomials
There are many algorithms based on orthogonal functions that can be applied to real-world problems. For example, many of them can be reduced to...
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A New Secret Sharing Scheme Based on Hermite Interpolation and Folded Magic Cube Rules
In this paper, a modern secret sharing scheme has been proposed that deal with set of variables points along specific polynomial. The main idea is to...
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Polynomial Frames
Polynomial frames are an emerging topic in the frame theory. Although traditional orthogonal polynomials can well approximate any data living in a...
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RMPIA: a new algorithm for computing the Lagrange matrix interpolation polynomials
Let σ 0 , σ 1 ,⋯, σ n be a set of n + 1 distinct real numbers (i.e., σ i ≠ σ j , for i ≠ j ) and F 0 , F 1 ,⋯ , F n , be given real s × r matrices, we know that there exists...
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Algebra of Orthogonal Series
AbstractAn algebra of orthogonal series has been developed for the operations of multiplication and division, differentiation and integration of...
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A meshfree Hermite point interpolation method for buckling and post-buckling analysis of thin plates
This paper aims to develop a meshfree approach based on the coupling of the Hermite-type point interpolation method (HPIM) and a high order...
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New Type of Gegenbauer–Hermite Monogenic Polynomials and Associated Clifford Wavelets
Nowadays, 3D images processing constitutes a challenging topic in many scientific fields such as medicine, computational physics, informatics....
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Gaussian Hermite polynomial based lossless medical image compression
The role of compression is inevitable in the storage and transmission of medical images. The polynomial based image compression is proposed in this...
