Deconvolution of 3-D Gaussian kernels

Z. K. Silagadze

doi:10.1016/j.physleta.2019.125874

Deconvolution of 3-D Gaussian kernels

Z. K. Silagadze

Кафедра общей физики ФФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

Ulmer and Kaissl formulas for the deconvolution of one-dimensional Gaussian kernels are generalized to the three-dimensional case. The generalization is based on the use of the scalar version of the Grad's multivariate Hermite polynomials which can be expressed through ordinary Hermite polynomials.

Язык оригинала	английский
Номер статьи	125874
Число страниц	4
Журнал	Physics Letters, Section A: General, Atomic and Solid State Physics
Том	383
Номер выпуска	30
DOI	https://doi.org/10.1016/j.physleta.2019.125874
Состояние	Опубликовано - 25 окт. 2019

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10.1016/j.physleta.2019.125874

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title = "Deconvolution of 3-D Gaussian kernels",

abstract = "Ulmer and Kaissl formulas for the deconvolution of one-dimensional Gaussian kernels are generalized to the three-dimensional case. The generalization is based on the use of the scalar version of the Grad's multivariate Hermite polynomials which can be expressed through ordinary Hermite polynomials.",

keywords = "Deconvolution, Gaussian kernels, Hermite polynomials, Laguerre polynomials, Multivariate Hermite polynomials, HERMITE, CONVOLUTION",

author = "Silagadze, {Z. K.}",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier B.V.",

year = "2019",

month = oct,

day = "25",

doi = "10.1016/j.physleta.2019.125874",

language = "English",

volume = "383",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

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TY - JOUR

T1 - Deconvolution of 3-D Gaussian kernels

AU - Silagadze, Z. K.

PY - 2019/10/25

Y1 - 2019/10/25

N2 - Ulmer and Kaissl formulas for the deconvolution of one-dimensional Gaussian kernels are generalized to the three-dimensional case. The generalization is based on the use of the scalar version of the Grad's multivariate Hermite polynomials which can be expressed through ordinary Hermite polynomials.

AB - Ulmer and Kaissl formulas for the deconvolution of one-dimensional Gaussian kernels are generalized to the three-dimensional case. The generalization is based on the use of the scalar version of the Grad's multivariate Hermite polynomials which can be expressed through ordinary Hermite polynomials.

KW - Deconvolution

KW - Gaussian kernels

KW - Hermite polynomials

KW - Laguerre polynomials

KW - Multivariate Hermite polynomials

KW - HERMITE

KW - CONVOLUTION

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U2 - 10.1016/j.physleta.2019.125874

DO - 10.1016/j.physleta.2019.125874

M3 - Article

AN - SCOPUS:85070206521

VL - 383

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 30

M1 - 125874

ER -

Deconvolution of 3-D Gaussian kernels

Аннотация

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