Novel Fourier-based iterative reconstruction for sparse fan projection using alternating direction total variation minimization

doi:10.1088/1674-1056/25/3/038701

Abstract Sparse-view x-ray computed tomography (CT) imaging is an interesting topic in CT field and can efficiently decrease radiation dose. Compared with spatial reconstruction, a Fourier-based algorithm has advantages in reconstruction speed and memory usage. A novel Fourier-based iterative reconstruction technique that utilizes non-uniform fast Fourier transform (NUFFT) is presented in this work along with advanced total variation (TV) regularization for a fan sparse-view CT. The proposition of a selective matrix contributes to improve reconstruction quality. The new method employs the NUFFT and its adjoin to iterate back and forth between the Fourier and image space. The performance of the proposed algorithm is demonstrated through a series of digital simulations and experimental phantom studies. Results of the proposed algorithm are compared with those of existing TV-regularized techniques based on compressed sensing method, as well as basic algebraic reconstruction technique. Compared with the existing TV-regularized techniques, the proposed Fourier-based technique significantly improves convergence rate and reduces memory allocation, respectively.

Keywords: Fan iterative reconstruction Fourier-based iterative reconstruction technique alternating direction method non-uniform fast Fourier transform

Received: 27 September 2015
Revised: 29 November 2015
Accepted manuscript online:

PACS:	87.59.-e	(X-ray imaging)
	07.85.-m	(X- and γ-ray instruments)
	87.57.Q-	(Computed tomography)

Fund: Projected supported by the National High Technology Research and Development Program of China (Grant No. 2012AA011603) and the National Natural Science Foundation of China (Grant No. 61372172).

Corresponding Authors: Bin Yan
E-mail: ybspace@hotmail.com

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Zhao Jin(金朝), Han-Ming Zhang(张瀚铭), Bin Yan(闫镔), Lei Li(李磊), Lin-Yuan Wang(王林元), Ai-Long Cai(蔡爱龙) Novel Fourier-based iterative reconstruction for sparse fan projection using alternating direction total variation minimization 2016 Chin. Phys. B 25 038701

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[1]	Image reconstruction based on total-variation minimization and alternating direction method in linear scan computed tomography Zhang Han-Ming (张瀚铭), Wang Lin-Yuan (王林元), Yan Bin (闫镔), Li Lei (李磊), Xi Xiao-Qi (席晓琦), Lu Li-Zhong (陆利忠). Chin. Phys. B, 2013, 22(7): 078701.

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Novel Fourier-based iterative reconstruction for sparse fan projection using alternating direction total variation minimization

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