Abstract
In this paper a method of analytic continuation for gaining spatial frequency components of an object filtered by an optical system, based on the Taylor series and the series of orthogonal polynomials, is proposed in connection with the holographic method of deconvolution. An analysis of the efficiency of this method is carried out in terms of information theory and improving terms are explicitly calculated. Some simple realizations of the present theory are also proposed. Higher frequency components of the object reconstructed with the help of this method will permit to observe greater details of the restored object.
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This work was partly done during a stay of the author at the University of Florence.
The author thanks Profs G. W. Stroke, G. Toraldo di Francia and B. Havelka for interesting discussions and fruitful comments. A financial support of Ministero degli Affari Esteri in Rome during the stay of the author at the University of Florence is acknowledged, too.
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Peřina, J. Holographic method of deconvolution and analytic continuation. Czech J Phys 21, 731–748 (1971). https://doi.org/10.1007/BF01702982
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DOI: https://doi.org/10.1007/BF01702982