D. A. Popov, “Reconstruction of characteristic functions in two-dimensional Radon tomography”, Russian Math. Surveys, 53:1 (1998), 109

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Russian Mathematical Surveys, 1998, Volume 53, Issue 1, Pages 109–193
DOI: https://doi.org/10.1070/RM1998v053n01ABEH000001 (Mi rm1)

This article is cited in 9 scientific papers (total in 9 papers)

Reconstruction of characteristic functions in two-dimensional Radon tomography

D. A. Popov

M. V. Lomonosov Moscow State University

English version PDF (892 kB) Citations (9) Russian version article

References:

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DOI: https://doi.org/10.1070/RM1998v053n01ABEH000001

Received: 06.01.1997

Bibliographic databases:

Document Type: Article

UDC: 517.3

MSC: 94A08, 65Gxx, 65F22

Language: English

Original paper language: Russian

Citation: D. A. Popov, “Reconstruction of characteristic functions in two-dimensional Radon tomography”, Russian Math. Surveys, 53:1 (1998), 109–193

Citation in format AMSBIB

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\jour Russian Math. Surveys

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\pages 109--193

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Linking options:

https://www.mathnet.ru/eng/rm1

https://doi.org/10.1070/RM1998v053n01ABEH000001

https://www.mathnet.ru/eng/rm/v53/i1/p115

This publication is cited in the following 9 articles:

Alexander Katsevich, “Resolution of 2 Dimensional Reconstruction of Functions with Nonsmooth Edges from Discrete Radon Transform Data”, SIAM J. Appl. Math., 83:2 (2023), 695
Katsevich A., “Analysis of Reconstruction From Discrete Radon Transform Data in R-3 When the Function Has Jump Discontinuities”, SIAM J. Appl. Math., 79:4 (2019), 1607–1626
Katsevich A., “A Local Approach to Resolution Analysis of Image Reconstruction in Tomography”, SIAM J. Appl. Math., 77:5 (2017), 1706–1732
I. A. Ikromov, “Summability of Oscillatory Integrals over Parameters and the Boundedness Problem for Fourier Transforms on Curves”, Math. Notes, 87:5 (2010), 700–719
D. A. Popov, “Remarks on uniform combined estimates of oscillatory integrals with simple singularities”, Izv. Math., 72:4 (2008), 793–816
M. A. Chahkiev, “Estimates for oscillatory integrals with convex phase”, Izv. Math., 70:1 (2006), 171–209
D. A. Popov, D. V. Sushko, “Image Restoration in Optical Acoustic Tomography”, Problems Inform. Transmission, 40:3 (2004), 254–278
Teryaev, OV, “Crossing and Radon tomography for generalized parton distributions”, Physics Letters B, 510:1–4 (2001), 125
Andreev V.G., Popov D.A., Sushko D.V., Karabutov A.A., Oraevsky A.A., “Inverse radon transform for optoacoustic imaging”, Biomedical Optoacoustics II, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 2, no. 13, 2001, 119–129

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	677
Russian version PDF:	316
English version PDF:	39
References:	85
First page:	1

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