Is it possible to restore an optical object from its low-pass spectrum and its truncated image?
Let our observations on an arbitrary L(2)-space optical object f(x) consist of its low-pass spectrum and its truncated image, i.e., F(omega)rect(omega/2b) and f(x)rect(x/a), respectively. Can f(x) be restored from the given data? We show that, in general, such a restoration is not possible.
Stark
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Cahana
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Habetler
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