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The Hermite Equation and the Generalised Laplace Transform

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1997
AbstractThe second order Laplace equation (i.e. the linear o.d.e. with linear coefficients) may be reduced to one of a number of standard forms. One of these is the Hermite equation which has hitherto been thought not to be treatable by the Laplace transform. This is true because the defining integral for that transform diverges in this case.
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Hermite Transform Based Operators for Orientation Estimation

2009 Fifth International Conference on Image and Graphics, 2009
This paper addresses the problem of the orientation estimation. Basing on the present operator sets dedicated to the orientation estimation, we propose another approach to implement these operators. The approach is based on the Hermite transform and uses the filter functions of certain order to implement the gradient operators and the valleyness ...
Bo Yang 0017, Mo Dai
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Motion magnification using the Hermite transform

SPIE Proceedings, 2015
We present an Eulerian motion magnification technique with a spatial decomposition based on the Hermite Transform (HT). We compare our results to the approach presented in.1 We test our method in one sequence of the breathing of a newborn baby and on an MRI left ventricle sequence.
Jorge Brieva   +5 more
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Image fusion with the multiscale Hermite transform

SPIE Proceedings, 2006
The steered multiscale Hermite transform is introduced as a tool for image fusion. It is shown how this transform's particular characteristics, closely related to important visual perception properties, efficiently reproduce relevant image structures in the fused products. Two cases of remote sensing image fusion are presented, namely multispectral
Boris Escalante-Ramírez   +1 more
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Hermite transformation and the expansion of normalized convolution

Journal of Soviet Mathematics, 1983
The article focuses on the computation of the coefficients of infinite-dimensional Edgeworth expansion. A method based on the Hermite transformation leads to explicit expressions for these coefficients in some cases.
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Transformation Properties of Hermite–Gaussian Functions

The Journal of Chemical Physics, 1971
Transformation properties of Hermite–Gaussian functions against the rotation in the xy plane are considered. The formulas obtained can be used to make the basis set in a variational approach more flexible, and to improve the convergence.
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The Evolution of Hermite Transform in Biomedical Applications

2010
In this chapter authors proposed an new techniques for conversion from continuous signal and images to digital form. This chapter is also try to explain a new method of generating a discrete version of the continuous Hermite functions to biomedical signals and images that are digital.    The process is computationally simple,
Raghavan Gopalakrishnan, Dale H. Mugler
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Properties of Airy transform of elegant Hermite-Gaussian beams

Optics and Laser Technology, 2021
Rui-Pin Chen   +2 more
exaly  

The Hermite Transform

2006
Alejandra López-Caloca   +1 more
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On Optimal Forms of the Hermite Transform

2025 31st International Conference on Telecommunications (ICT)
Djordje Stankovic   +2 more
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