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Image Correlation Using Fractional Hermite Transform [PDF]
IEEE Access, 2020 In this paper, we generalize the Hermite transform into a fractional case using the fractional Fourier transform and the fractional convolution. The new methodology was evaluated using phytoplankton images with different illumination patterns and ...
Alfredo Castro-Valdez +1 more
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A fast Hermite transform [PDF]
Theoretical Computer Science, 2008 We present algorithms for fast and stable approximation of the Hermite transform of a compactly supported function on the real line, attainable via an application of a fast algebraic algorithm for computing sums associated with a three-term relation. Trade-offs between approximation in bandlimit (in the Hermite sense) and size of the support region are
Daniel Nahum Rockmore +2 more
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The Hermite Transform: A Survey [PDF]
EURASIP Journal on Advances in Signal Processing, 2006 With this survey on the Hermite transformation we want to pursue the following two goals. First, we want to provide a comprehensive and up-to-date description of the Hermite transformation, its underlying philosophy, and its most important properties ...
Martens Jean-Bernard
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3D Hermite Transform Optical Flow Estimation in Left Ventricle CT Sequences [PDF]
Sensors, 2020 Heart diseases are the most important causes of death in the world and over the years, the study of cardiac movement has been carried out mainly in two dimensions, however, it is important to consider that the deformations due to the movement of the ...
Carlos Mira +5 more
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Continuous and Discrete Wavelet Transforms Associated with Hermite Transform
International Journal of Analysis and Applications, 2020 In this paper, we accomplished the concept of continuous and discrete Hermite wavelet transforms. We also discussed some basic properties of Hermite wavelet transform.
C. P. Pandey, Pranami Phukan
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Higher order Riesz transforms for Hermite expansions [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we consider the Riesz transform of higher order associated with the harmonic oscillator L = − Δ + | x | 2 $L=-\Delta+|x|^{2}$ , where Δ is the Laplacian on R d $\mathbb {R}^{d}$ .
Jizheng Huang
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THE NEW PROCESSING METHOD OF QUASI-PERIODIC PULSE SIGNALS USING WAVELET ANALYSIS AND HERMIT TRANSFORM [PDF]
Proceedings on Engineering Sciences, 2023 The article considers the basic principles of constructing a method for processing quasi-periodic pulse signals. The method is based on the combined use of wavelet analysis and the Hermite transform, in particular, the Gauss-Hermite function.
Dmitry Balakin +2 more
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Advances in Mathematical Physics, 2021 In this paper, white noise functional solutions of Wick-type stochastic fractional mixed KdV-mKdV equations have been obtained by using the extended G′/G-expansion method and the Hermite transform. Firstly, the Hermite transform is used to transform Wick-
Zhao Li, Peng Li, Tianyong Han
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Hermite Transform Based Algorithm for Detection and Classification of High Impedance Faults
IEEE Access, 2022 This work proposes a new algorithm to classify high impedance faults (HIFs) in distribution systems. HIFs can be represented by small current magnitudes with non-linear variations, which complicate their detection in distribution grids.
Daniel Guillen +3 more
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A $q$-deformation of true-polyanalytic Bargmann transforms when $q^{-1}>1$
Comptes Rendus. Mathématique, 2022 We combine continuous $q^{-1}$-Hermite Askey polynomials with new $2D$ orthogonal polynomials introduced by Ismail and Zhang as $q$-analogs for complex Hermite polynomials to construct a new set of coherent states depending on a nonnegative integer ...
El Moize, Othmane, Mouayn, Zouhaïr
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