A new and most direct method of penumbral imaging is presented. It is shown that for square (or polygonal) apertures, the source distribution is given by the second-order mixed Cartesian derivative of the penumbral image intensity distribution. Use of this approach is illustrated by computer simulation. Two different source sizes (3.2 mm and 10 μm) of high-energy gamma sources were reconstructed. The effect of noise in the recording system is studied and a simple noise reduction technique is shown to be quite effective.
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Gideon Barnea (1994) studied this question.
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