The Convergence Acceleration of Two-Dimensional Fourier Interpolation

Authors

  • Anry Nersessian Institute of mathematics of National Academy of Sciences of Armenia Bagramian ave.24B, 0019 Yerevan, Armenia
  • Arnak Poghosyan Institute of mathematics of National Academy of Sciences of Armenia Bagramian ave.24B, 0019 Yerevan, Armenia

Abstract

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

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Published

2008-07-07

How to Cite

Nersessian, A., & Poghosyan, A. (2008). The Convergence Acceleration of Two-Dimensional Fourier Interpolation. Armenian Journal of Mathematics, 1(1), 50-63. Retrieved from http://armjmath.sci.am/index.php/ajm/article/view/18

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