Separable quaternion matrix factorization for polarization images

J Pan, MK Ng - SIAM Journal on Imaging Sciences, 2023 - SIAM
A transverse wave is a wave in which the particles are displaced perpendicular to the
direction of the wave's advance. Examples of transverse waves include ripples on the …

Systems analysis of discrete two-dimensional signal processing in fourier bases

AV Ponomarev - Advances in signal processing: Theories, algorithms …, 2020 - Springer
The problems of two-dimensional signals processing on the base of two-Dimensional
Discrete Fourier Transform (2D DFT) are considered. A general definition and mathematical …

Digital technologies in non-destructive testing

AV Ponomarev, OV Ponomareva - Journal of Physics …, 2019 - iopscience.iop.org
This paper considers the problems of development and application of digital technologies in
non-destructive testing (NDT). Conducting NDT is represented as some generalized …

[PDF][PDF] Digitalization of Spectral Measurements in the Fourier Basis–Development Trends and Problems

OV Ponomareva, AV Ponomarev… - ПРИБОРЫ И МЕТОДЫ …, 2019 - pimi.bntu.by
At the present stage of development of digital information technologies intensive
digitalization (comp uterization) of both direct and indirect measurement methods is taking …

Цифровизация измерений спектров в базисе Фурье-тенденции развития и проблемы

ОВ Пономарева, АВ Пономарев… - Приборы и методы …, 2019 - cyberleninka.ru
На современном этапе развития цифровых информационных технологий происходит
интенсивная цифровизация (компьютеризация) как прямых, так и косвенных методов …

Application of parametric discrete Fourier transform in nondestructive testing of composite materials with a free oscillation method

OV Ponomareva, AV Ponomarev - Journal of Physics …, 2019 - iopscience.iop.org
The paper discusses the use of discrete parametric Fourier transform (DFT-P) in
nondestructive testing (NDT) of composite materials using the free oscillation method. It is …

Evolution of One-Dimensional and Two-Dimensional Discrete Fourier Transform

P Alexey, P Olga, S Natalia - 2022 24th International …, 2022 - ieeexplore.ieee.org
The rapid development of information technology has significantly expanded the scope of
application of digital Fourier processing of finite signals. We note tomography, active and …

2D discrete fast Fourier transform with variable parameters

P Alexey, P Olga, S Natalia - 2022 24th International …, 2022 - ieeexplore.ieee.org
The rapid development of information technology has significantly expanded the scope of
application of digital Fourier processing of finite signals. Among them, the work noted …

[HTML][HTML] Theoretical foundations of digital vector Fourier analysis of two-dimensional signals padded with zero samples

OV Ponomareva, AV Ponomarev - Информационно-управляющие …, 2021 - cyberleninka.ru
Introduction: The practice of using Fourier-processing of finite two-dimensional signals
(including images), having confirmed its effectiveness, revealed a number of negative effects …

Sliding Spatial Frequency Processing of Discrete Signals

OV Ponomareva, AV Ponomarev… - Advances in Signal …, 2020 - Springer
The definition of sliding spatial-frequency processing of discrete signal is given. Fast
methods for analyzing two-dimensional discrete signals in the spatial-frequency domain are …