Object reconstruction from projections. Analysis of the principles of classical and iterative holography

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Abstract
The object-reconstruction problem from projections appears in various domains of Physics and Applied Physics, apparently quite distinct. One of the author's aims is to show, in particular, that the problems encountered in holography and, for example, in tomography can be stated and analysed in a similar way as special cases of an object-reconstruction problem from projections. The term projection is then of course used in its proper mathematical sense. The analysis developed shows that there exists an optimal iterative (constructive) procedure which allows one to deal with the problems to which the classical methods of holography are not suited. Although this procedure allows one to get rid of the traditional conjugate-image effect, the conjugate-image effect defined by the author remains basically involved in the analysis of the problem. The corresponding connotation is thoroughly specified.

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