Abstract. Microscopic images, specially with a nonconfocal microscope, are fundamentally limited becaouse the optical transfer function, the Fourier transform of the point-spread function, is zero over a region of the spatial-frequency domain. Several iterative algorithms are being developed for the restoration and superresolution of diffraction-limited imagery data through the use of different mathematical techniques. Here we present the Gerchberg-Papoulis algorithm, test it in a 1-d signal and also in a real microcopic image.
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IMAGE EXPERIMENT
SIGNAL EXPERIMENT
Microscopic Image from a Cell Culture
A 1-d Signal
Original Image Power Spectrum
Cutted Signal (to be restored)
Restored Image Power Spectrum
FT of the clipped signal
Setting zero outside the known passband
Restored signal after IFT