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Tomic functions and lacunary interpolation series in boundary value problems for partial derivatives equations and image processing
(ХАІ, 2020)
In the paper we consider and solve the problem of construction of the so called tomic functions – the systems of infinitely differentiable functions which while retaining many important properties of the shifts of atomic ...
Application of dynamic programming approach to computation of atomic functions
(ХАІ, 2021)
The special class of atomic functions is considered. The functions considered are used in discrete atomic compression (DAC) of digital images. The algorithm DAC is lossy and provides better compression than JPEG, which is ...