A Fast Iterative Image Reconstruction Algorithm from Few-views Projections Data

Zou Jing; Sun Yanqin; Zhang Peng

[1] Quan Yujuan, Li Shiguang. Image reconstruction from imcomplect data by a maximum entropy reprojecting technique[J]. Journal of Chongqing University, 1998, 1: 77～81

[2] Lü Hong, Li Shiguang, Xu Wenzhi et al.. Image reconstruction from incomplete fan beam projection data by maximum entropy and iterative technique[J].Journal of Chongqing University(Natural Science Edition), 1997, 5: 41～46.

[3] Yao Hongbing, Ding Guilin, Zhou Jun et al.. Research on projection sampling in reconstruction of optical computerized tomography with limited angle[J]. Acta Optica Sinica, 2006, 26(9)：1354～1357

[4] Meng Jing, Wang Jiajun, Huang Xianwu et al.. Multi-Criterion reconstruction method for optical tomography[J]. Acta Optica Sinica, 2006, 26(9): 1340～1344

[5] Gao Feng, Niu Hanben.Image reconstruction algorithm in optical CT[J]. Acta Optica Sinica, 1996, 16(4)：494～499

[6] E.Candes, J.Romberg, T.Tao. Robust uncertaintiy principles：Exact Singal reconstruction from highly incomplete frequency information[J]. IEEE trans. Inform. Theory, 2004, 52(2)：489～509

[7] E. Candes, T. Tao. Near Optimal signal recovery from random projections：universal encoding strategies [J]. IEEE Trans. Inform. Theory, 2006, 52(12)：5406～5425

[8] Zhang Xiaoqun, Jacques Fromentlmam. Total variation based fourier reconstruction and regularization for computer tomography [J]. Proc. Nuclear Science Symposium and Medical Imaging, 2005, 4：2332～2336

[9] Julia Velikina, Shuai-Leng, Guang-Hong Chen. Limited view angle tomographic image reconstruction via total variation minimization[J]. SPIE Proc. Med. Imag, 2007, 6510：651020-1～651020-12

[10] Emil Y. Sidky, Chien-Min Kao, Xiaochuan Pan. Accurate image reconstruction from few-views and limited-angle data in divergent-beam CT[J]. Journal of X-Ray Science and Technology, 2006, 14(2)：119～139

[11] Wang Xiaopu, Zhang Peng, Li Xingdong et al.. A Fast ART algorithm based on block iteration [J]. CT Theory and Applications, 2000, 9(zk):9～12

[12] A. C. Kak and M.Slaney. Principle of Computerized Tomography Imaging[M]. New York: IEEE Press, 1999. 186～189

[13] Yuan Yaxiang, Sun Wenyu. Optimization Theory and Methods[M]. Beijing: Science Press, 1995. 183～199

[14] Qiu Jun, Wang Liang. Symmetric mesh-iterative algorithms for image reconstruction[J]. CT Theory and Applications, 2007, 16(2): 20～30

[15] Zhuang Tiange. Computed Tomography Theory and Algorithm[M]. Shanghai: Shanghai Jiaotong University Press, 1992. 11～12