Fast Fourier transforms make it possible to convert back and forth between image space and frequency space. It is amazing that it is possible to remove of some of the blur caused by motion or improper focus [5]. J offers a powerful addon package fftw based on work of Frigo and Johnson [2], that makes it easy to combine fast Fourier transforms with other array processing. This column closely follows the discussion of motion blur in [4].
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With J: Fast Fourier transforms and removing motion blur