A CT Reconstruction Algorithm Based on Non-Aliasing Contourlet Transform and Compressive Sensing

被引:5
作者
Deng, Lu-zhen [1 ]
Feng, Peng [1 ]
Chen, Mian-yi [1 ]
He, Peng [1 ]
Vo, Quang-sang [1 ]
Wei, Biao [1 ]
机构
[1] Chongqing Univ, Key Lab Optoelect Technol & Syst, Educ Minist China, Chongqing 400044, Peoples R China
基金
中国国家自然科学基金;
关键词
SPLIT-BREGMAN METHOD; IMAGE-RECONSTRUCTION; SPARSITY;
D O I
10.1155/2014/753615
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Compressive sensing (CS) theory has great potential for reconstructing CT images from sparse-views projection data. Currently, total variation (TV-) based CT reconstruction method is a hot research point in medical CT field, which uses the gradient operator as the sparse representation approach during the iteration process. However, the images reconstructed by this method often suffer the smoothing problem; to improve the quality of reconstructed images, this paper proposed a hybrid reconstruction method combining TV and non-aliasing Contourlet transform (NACT) and using the Split-Bregman method to solve the optimization problem. Finally, the simulation results show that the proposed algorithm can reconstruct high-quality CT images from few-views projection using less iteration numbers, which is more effective in suppressing noise and artefacts than algebraic reconstruction technique (ART) and TV-based reconstruction method.
引用
收藏
页数:9
相关论文
共 18 条
[1]  
Abramowitz M., 2008, WAVELET TOUR SIGNAL
[2]  
Boyd S., 2004, CONVEX OPTIMIZATION, VFirst, DOI DOI 10.1017/CBO9780511804441
[3]  
Bregman L. M., 1967, USSR Comput Math Math Phys, V7, P200, DOI [10.1016/0041-5553(67)90040-7, DOI 10.1016/0041-5553(67)90040-7]
[4]   A few-view reweighted sparsity hunting (FRESH) method for CT image reconstruction [J].
Chang, Ming ;
Li, Liang ;
Chen, Zhiqiang ;
Xiao, Yongshun ;
Zhang, Li ;
Wang, Ge .
JOURNAL OF X-RAY SCIENCE AND TECHNOLOGY, 2013, 21 (02) :161-176
[5]  
Chu JY, 2012, IEEE NUCL SCI CONF R, P2411
[6]  
Do M. N., IEEE T IMAGE PROCESS, V14, P2091
[7]   Compressed sensing [J].
Donoho, DL .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (04) :1289-1306
[8]  
Feng Peng, 2009, Acta Electronica Sinica, V37, P2510
[9]   The Split Bregman Method for L1-Regularized Problems [J].
Goldstein, Tom ;
Osher, Stanley .
SIAM JOURNAL ON IMAGING SCIENCES, 2009, 2 (02) :323-343
[10]   ALGEBRAIC RECONSTRUCTION TECHNIQUES (ART) FOR 3-DIMENSIONAL ELECTRON MICROSCOPY AND X-RAY PHOTOGRAPHY [J].
GORDON, R ;
BENDER, R ;
HERMAN, GT .
JOURNAL OF THEORETICAL BIOLOGY, 1970, 29 (03) :471-&