The Convergence Acceleration of Two-DimensionalFourier Interpolation

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The Convergence Acceleration of Two-DimensionalFourier Interpolation Anry Nersessian

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.

DOI: https://armjmath.sci.am/index.php/ajm/article/view/18 Armenian Journal of Mathematics, 1(1) 50-63

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Keywords

onvergence Acceleration, Interpolation, Local Fourier Analysis, ImageProcessing, Image Interpolation, Image Compression, Image Zooming

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