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

Ben-Gurion University of the Negev

Ben-Gurion University of the Negev

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

All Science Journal Classification (ASJC) codes

Applied Mathematics
Statistics and Probability
General Mathematics

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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.\}",

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year = "2014",

month = oct,

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

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AU - Batenkov, D. V.

AU - Golubyatnikov, V. P.

AU - Yomdin, Y. N.

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N2 - 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.

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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DO - 10.1007/s10958-014-2031-8

M3 - مقالة

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VL - 202

SP - 25

EP - 39

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 1

ER -

Integral Geometry Problems with Incomplete Data

Abstract

All Science Journal Classification (ASJC) codes

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