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Atomic wavelets
(ХАІ, 2012)
The problem of existence and construction of the atomic wavelet system, which consists of infinitely differentiable
functions with a compact support, is considered. Formulas for evaluation atomic wavelets are obtained.
Examples ...
Discrete atomic compression of digital images: almost lossless compression
(ХАІ, 2019)
In this paper, we consider the problem of digital image compression with high requirements to the quality of the result.
Generalized atomic wavelets
(ХАІ, 2018)
The problem of big data sets processing is considered.
Discrete atomic compression of digital images
(ХАІ, 2018)
The subject matter of this paper is the discrete atomic compression (DAC) of digital images, which is a lossy compression process based on the discrete atomic transform (DAT). The goal is to investigate the efficiency of ...
Atomic functions and their generalizations in data processing: function theory approach
(ХАІ, 2018)
This paper is devoted to the fundamentals of applications of some atomic functions and their generalizations in data processing and data reduction. In this paper, we consider the main properties of these functions from the ...
On estimates of coefficients of generalized atomic wavelets expansions and their application to data processing
(ХАІ, 2020)
Discrete atomic compression of digital images is considered. It is a lossy compression algorithm. The aim of this paper is to obtain a mechanism for control of quality loss.