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Optical optimization of the inversion of convolution products f = g * u when the unknown u is space-limited
Abstract:
For several convolution equations such as f = g * u, the support domain of the unknown being bounded, optical resolution becomes difficult as soon as f does not decrease quickly enough at infinity. When the approximation g(x - y) asymptotically equal to g(x) is good for |x| >> |Y|, we are able to correct by interferometric means the necessary truncation of the f information. In particular, the proposed correction is interesting for the optical treatment of the primary data used in transaxial tomography.
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