Application of Fourier-space image-restoration techniques to turbulence compensation and sparse-aperture imaging

Physics – Optics

Scientific paper

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Detection, Image Reconstruction, Imagery, Imaging Techniques, Optical Transfer Function, Signal To Noise Ratios, Turbulence, Adaptive Optics, Celestial Bodies, Collection, Hubble Space Telescope, Procedures, Receivers

Scientific paper

Image reconstruction is important in any application in which the sensing apparatus or the intervening medium significantly corrupts the recorded data. Deconvolution processes are the oldest and best understood, and for many practical problems Fourier domain deconvolution is the method of choice because acceptable results can usually be obtained with a minimum of computational effort. This report describes two practical applications of the Fourier deconvolution process in which detailed knowledge of the system's instantaneous optical transfer function is effectively utilized. In the first example, speckle imagery is combined with wavefront-sensor data to produce diffraction-limited images of celestial objects; the results are shown to compare favorably with the output of a fully operational adaptive optics system, the second application involves a sparse-aperture collection system that could be incorporated into a lightweight space telescope; this discussion includes an assessment of the practical utility of sparse-aperture receivers in a realistic signal-to-noise environment.

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