Compressed sensing based cone-beam computed tomography reconstruction with a first-order method

Title
Compressed sensing based cone-beam computed tomography reconstruction with a first-order method
Authors
최기환Jing WangLei ZhuTae-Suk SuhLei XingStephen Boyd
Keywords
cone-beam computed tomography; compressed sensing; weighted least-squares; Nesterov's first order method
Issue Date
2010-09
Publisher
Medical physics
Citation
VOL 37, NO 9-5125
Abstract
This article considers the problem of reconstructing cone-beam computed tomography (CBCT) images from a set of undersampled and potentially noisy projection measurements. METHODS: The authors cast the reconstruction as a compressed sensing problem based on l1 norm minimization constrained by statistically weighted least-squares of CBCT projection data. For accurate modeling, the noise characteristics of the CBCT projection data are used to determine the relative importance of each projection measurement. To solve the compressed sensing problem, the authors employ a method minimizing total-variation norm, satisfying a prespecified level of measurement consistency using a first-order method developed by Nesterov. RESULTS: The method converges fast to the optimal solution without excessive memory requirement, thanks to the method of iterative forward and back-projections. The performance of the proposed algorithm is demonstrated through a series of digital and experimental phantom studies. It is found a that high quality CBCT image can be reconstructed from undersampled and potentially noisy projection data by using the proposed method. Both sparse sampling and decreasing x-ray tube current (i.e., noisy projection data) lead to the reduction of radiation dose in CBCT imaging. CONCLUSIONS: It is demonstrated that compressed sensing outperforms the traditional algorithm when dealing with sparse, and potentially noisy, CBCT projection views.
URI
http://pubs.kist.re.kr/handle/201004/66036
ISSN
0094-2405
Appears in Collections:
KIST Publication > Article
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