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Natural Science, Biology, 2024, 14, 67–75
DOI: 10.xxxx/example-doi Special Issue 1(2), 2022 186–1928

The Convergence Acceleration of Two-DimensionalFourier Interpolation

Received N/A; revised N/A; accepted N/A
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Hereby, the convergence acceleration of two-dimensional trigonometric inter-polation for a smooth functions on a uniform mesh is considered. Together with theoreticalestimates some numerical results are presented and discussed that reveal the potential ofthis method for application in image processing. Experiments show that suggested al-gorithm allows acceleration of conventional Fourier interpolation even for sparse meshesthat can lead to an efficient image compression/decompression algorithms and also toapplications in image zooming procedures.

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