A statistical stopping rule for iterative image reconstruction in emission tomography

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A statistical stopping rule for iterative image reconstruction in emission tomography. / Ruzankin, Pavel S.; Denisova, Natalya V.

In: Journal of Inverse and Ill-Posed Problems, Vol. 34, No. 2, 21.02.2026, p. 193-207.

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

BibTeX

@article{6dcb0c0d434848179513001f933abc78,

title = "A statistical stopping rule for iterative image reconstruction in emission tomography",

abstract = "Image reconstruction in medical emission tomography is an inverse ill-posed problem with Poisson data. Iterative regularization using a statistical stopping rule is studied in this paper. We suggest a new approach to estimate the optimal breakpoint for iterative image reconstruction algorithms in emission tomography. The new method is based on the use of the central limit theorem with a highly accurate normal approximation to the distribution of the suggested statistic under the null hypothesis. In the simulations, our method demonstrated accurate estimates for the optimal breakpoint for iterative algorithms.",

keywords = "OSEM, Stopping rule, emission tomography, iterative image reconstruction, Правило остановки, итеративная реконструкция изображений, эмиссионная томография, OSEM",

author = "Ruzankin, {Pavel S.} and Denisova, {Natalya V.}",

note = "Ruzankin, P. S. A statistical stopping rule for iterative image reconstruction in emission tomography / P. S. Ruzankin, N. V. Denisova // Journal of Inverse and Ill-Posed Problems. – 2026. – Vol. 34, No. 2. – P. 193-207. – DOI 10.1515/jiip-2024-0071. – EDN DGFRID. This work was supported by the Mathematical Center in Akademgorodok under the agreement No. 075-15-2022-281 with the Ministry of Science and Higher Education of the Russian Federation. ",

year = "2026",

month = feb,

day = "21",

doi = "10.1515/jiip-2024-0071",

language = "English",

volume = "34",

pages = "193--207",

journal = "Journal of Inverse and Ill-Posed Problems",

issn = "0928-0219",

publisher = "Walter de Gruyter GmbH",

number = "2",

}

RIS

TY - JOUR

T1 - A statistical stopping rule for iterative image reconstruction in emission tomography

AU - Ruzankin, Pavel S.

AU - Denisova, Natalya V.

N1 - Ruzankin, P. S. A statistical stopping rule for iterative image reconstruction in emission tomography / P. S. Ruzankin, N. V. Denisova // Journal of Inverse and Ill-Posed Problems. – 2026. – Vol. 34, No. 2. – P. 193-207. – DOI 10.1515/jiip-2024-0071. – EDN DGFRID. This work was supported by the Mathematical Center in Akademgorodok under the agreement No. 075-15-2022-281 with the Ministry of Science and Higher Education of the Russian Federation.

PY - 2026/2/21

Y1 - 2026/2/21

N2 - Image reconstruction in medical emission tomography is an inverse ill-posed problem with Poisson data. Iterative regularization using a statistical stopping rule is studied in this paper. We suggest a new approach to estimate the optimal breakpoint for iterative image reconstruction algorithms in emission tomography. The new method is based on the use of the central limit theorem with a highly accurate normal approximation to the distribution of the suggested statistic under the null hypothesis. In the simulations, our method demonstrated accurate estimates for the optimal breakpoint for iterative algorithms.

AB - Image reconstruction in medical emission tomography is an inverse ill-posed problem with Poisson data. Iterative regularization using a statistical stopping rule is studied in this paper. We suggest a new approach to estimate the optimal breakpoint for iterative image reconstruction algorithms in emission tomography. The new method is based on the use of the central limit theorem with a highly accurate normal approximation to the distribution of the suggested statistic under the null hypothesis. In the simulations, our method demonstrated accurate estimates for the optimal breakpoint for iterative algorithms.

KW - OSEM

KW - Stopping rule

KW - emission tomography

KW - iterative image reconstruction

KW - Правило остановки

KW - итеративная реконструкция изображений

KW - эмиссионная томография

KW - OSEM

UR - https://www.mendeley.com/catalogue/0c7a08ec-1292-3f78-a8c8-5323aacea624/

UR - https://www.scopus.com/pages/publications/105031141779

UR - https://www.elibrary.ru/item.asp?id=90557768

U2 - 10.1515/jiip-2024-0071

DO - 10.1515/jiip-2024-0071

M3 - Article

VL - 34

SP - 193

EP - 207

JO - Journal of Inverse and Ill-Posed Problems

JF - Journal of Inverse and Ill-Posed Problems

SN - 0928-0219

IS - 2

ER -

ID: 85179508