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arXiv:1908.07259·v1·Data Analysis, Statistics and Probability

Deconvolution of 3-D Gaussian kernels

Z.K. Silagadze🇷🇺

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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.

Comments: 12 pages, to be published in Physics Letters A