The Convergence Acceleration of Two-DimensionalFourier Interpolation

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Submitted: 2024-11-29; Published: 2024-11-29

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Abstract

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.