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

Доступ к документу

10.1016/j.physleta.2019.125874

Link to publication in Scopus

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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",

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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

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KW - Hermite polynomials

KW - Laguerre polynomials

KW - Multivariate Hermite polynomials

KW - HERMITE

KW - CONVOLUTION

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