Abstract
An alternate method to standard computational tomography is suggested and investigated. In the proof of the fundamental theorem one makes use of an approach that is related to an idea of Yu. V. Linnik.
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Additional information
The investigated alternate method has been communicated by me in 1978 to D. A. Novik, who introduced me to the pioneer works on computational tomography and drew my attention to this topic. In 1988 this investigation has been communicated at the All-Union conference "Probabilistic and Statistical Methods, and Their Application in Physics and Engineering" (Alma-Ata, May 1988) (see also [9]).
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 184, pp. 271–278, 1990.
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Khalfin, L.A. An alternative to traditional computational tomography. J Math Sci 68, 592–596 (1994). https://doi.org/10.1007/BF01254287
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DOI: https://doi.org/10.1007/BF01254287