Statistical Interior Tomography

Qiong Xu; Xuanqin Mou; Ge Wang; Jered Sieren; Eric A Hoffman; Hengyong Yu

doi:10.1109/TMI.2011.2106161

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Journal article

Peer reviewed

Statistical Interior Tomography

Qiong Xu, Xuanqin Mou, Ge Wang, Jered Sieren, Eric A Hoffman and Hengyong Yu

IEEE transactions on medical imaging, Vol.30(5), pp.1116-1128

05/2011

DOI: 10.1109/TMI.2011.2106161

PMCID: PMC3246757

PMID: 21233044

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Abstract

This paper presents a statistical interior tomography (SIT) approach making use of compressed sensing (CS) theory. With the projection data modeled by the Poisson distribution, an objective function with a total variation (TV) regularization term is formulated in the maximization of a posteriori (MAP) framework to solve the interior problem. An alternating minimization method is used to optimize the objective function with an initial image from the direct inversion of the truncated Hilbert transform. The proposed SIT approach is extensively evaluated with both numerical and real datasets. The results demonstrate that SIT is robust with respect to data noise and down-sampling, and has better resolution and less bias than its deterministic counterpart in the case of low count data.

Computed Tomography

Algorithm design and analysis

truncated Hilbert transform

computed tomography (CT)

statistical iterative reconstruction

Compressed sensing (CS)

Transforms

Minimization

interior tomography

Image reconstruction

Details

Title: Subtitle: Statistical Interior Tomography
Creators: Qiong Xu - Inst. of Image Process. & Pattern Recognition, Xi'an Jiaotong Univ., Xi'an, China
Xuanqin Mou - Inst. of Image Process. & Pattern Recognition, Xi'an Jiaotong Univ., Xi'an, China
Ge Wang - Biomed. Imaging Div., VT-WFU Sch. of Biomed. Eng. & Sci., Blacksburg, VA, USA
Jered Sieren - Dept. of Radiol., Univ. of Iowa, Iowa City, IA, USA
Eric A Hoffman - Dept. of Radiol., Univ. of Iowa, Iowa City, IA, USA
Hengyong Yu - Biomed. Imaging Div., VT-WFU Sch. of Biomed. Eng. & Sci., Blacksburg, VA, USA
Resource Type: Journal article
Publication Details: IEEE transactions on medical imaging, Vol.30(5), pp.1116-1128
DOI: 10.1109/TMI.2011.2106161
PMID: 21233044
PMCID: PMC3246757
NLM abbreviation: IEEE Trans Med Imaging
ISSN: 0278-0062
eISSN: 1558-254X
Publisher: Institute of Electrical and Electronics Engineers
Language: English
Date published: 05/2011
Academic Unit: Roy J. Carver Department of Biomedical Engineering; Radiology; Internal Medicine
Record Identifier: 9984051538502771

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