Integral Geometry Problems with Incomplete Data

D. V. Batenkov; V. P. Golubyatnikov; Y. N. Yomdin

doi:10.1007/s10958-014-2031-8

Integral Geometry Problems with Incomplete Data

D. V. Batenkov
, V. P. Golubyatnikov
, Y. N. Yomdin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We consider nonlinear problems of reconstructing multidimensional objects from incomplete data of distant measurements expressed as integral transformations. Based on the Prony system for the class of D-finite objects, we obtain constructive solutions.

Original language	English
Pages (from-to)	25-39
Number of pages	15
Journal	Journal of Mathematical Sciences
Volume	202
Issue number	1
DOIs	https://doi.org/10.1007/s10958-014-2031-8
State	Published - Oct 2014
Externally published	Yes

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title = "Integral Geometry Problems with Incomplete Data",

abstract = "We consider nonlinear problems of reconstructing multidimensional objects from incomplete data of distant measurements expressed as integral transformations. Based on the Prony system for the class of D-finite objects, we obtain constructive solutions.",

author = "Batenkov, \{D. V.\} and Golubyatnikov, \{V. P.\} and Yomdin, \{Y. N.\}",

note = "Publisher Copyright: {\textcopyright} 2014, Springer Science+Business Media New York.",

year = "2014",

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doi = "10.1007/s10958-014-2031-8",

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AB - We consider nonlinear problems of reconstructing multidimensional objects from incomplete data of distant measurements expressed as integral transformations. Based on the Prony system for the class of D-finite objects, we obtain constructive solutions.

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JO - Journal of Mathematical Sciences

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Integral Geometry Problems with Incomplete Data

Abstract

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