Analysis of Iterative Denoising Method in Sparse Computed Tomography Reconstruction

LI Hong-xiao; CHEN Xiao-dong; LI Jun-wei; WANG Yi; YU Dao-yin

doi:10.3788/gzxb20154405.0517002

[1] DONOHO D L. Compressed sensing［J］. IEEE Transactions on Information Theory, 2006, 52(4): 1289-1306.

[2] CANDS E J, WAKIN M B. An introduction to compressive sampling［J］. IEEE Signal Processing Magazine, 2008, 25(2): 21-30.

[3] LIU Hai-ying, LI Yun-song, WU Cheng-ke. A method for compressive sensing of images based on zone control of digital micromirror device and super-resolution［J］. Acta Photonica Sinica, 2014, 43(5): 0510002.

[4] LU Pei, LIU Xiao-yong, LU Xi, et al. Image information encryption by compressed sensing and optical theory［J］. Acta Photonica Sinica, 2014, 43(9): 0910002.

[5] JI Zhen-Xin, KONG Pan-Qiang. Hyperspectral image compressed sensing based on linear filter between bands［J］. Acta Photonica Sinica, 2012, 41(1): 82-86.

[6] ZHANG T, CHOWDHURY S, LUSTIG M, et al. Clinical performance of contrast enhanced abdominal pediatric MRI with fast combined parallel imaging compressed sensing reconstruction［J］. Journal of Magnetic Resonance Imaging, 2013: n/a-n/a.

[7] BERRINGTON D G A, MAHESH M, KIM K P, et al. Projected cancer risks from computed tomographic scans performed in the United States in 2007［J］. Archives of Internal Medicine, 2009, 169(22): 2071-2077.

[8] LIU Y, LIANG Z, MA J, et al. Total variation-stokes strategy for sparse-view X-ray CT image reconstruction［J］. IEEE Transactions on Medical Imaging, 2014, 33(3): 749-763.

[9] CHEN Z, JIN X, LI L, et al. A limited-angle CT reconstruction method based on anisotropic TV minimization［J］. Physics in Medicine and Biology, 2013, 58(7): 2119.

[10] WU D, LI L, ZHANG L. Feature constrained compressed sensing CT image reconstruction from incomplete data via robust principal component analysis of the database［J］. Physics in Medicine and Biology, 2013, 58(12): 4047-4070.

[11] FANG Jing, CHENG Le-hong, ZHANG Yu-ping, et al. Improved iterative tomography algorithm based on fan-beam geometry of double projections［J］. Acta Photonica Sinica, 2014, 43(10): 1011003.

[12] GORDON R, BENDER R, HERMAN G T. Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography［J］. Journal of Theoretical Biology, 1970, 29(3): 471-481.

[13] LI H, CHEN X, WANG Y, et al. Sparse CT reconstruction based on multi-direction anisotropic total variation (MDATV)［J］. BioMedical Engineering OnLine, 2014, 13(1): 92.

[14] LI T, LI X, WANG J, et al. Nonlinear sinogram smoothing for low-dose X-ray CT［J］. IEEE Transactions on Nuclear Science, 2004, 51(5): 2505-2513.

[15] ROSS S M, Introduction to probability and statistics for engineers and scientists［M］: Elsevier Science, 2009. 2.3.2.

[16] LUO Z Q, TSENG P. On the convergence of the coordinate descent method for convex differentiable minimization［J］. Journal of Optimization Theory and Applications, 1992, 72(1): 7-35.

[17] BECKER S, BOBIN J, CANDS E. NESTA: a fast and accurate first-order method for sparse recovery［J］. SIAM Journal on Imaging Sciences, 2011, 4(1): 1-39.

[18] NESTEROV Y. Smooth minimization of non-smooth functions［J］. Mathematical Programming, 2005, 103(1): 127-152.

[19] FESSLER J. Image reconstruction toolbox［OL］. http: //web.eecs.umich.edu/~fessler/code/.

[20] CANDS E J, ROMBERG J, TAO T. Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information［J］. IEEE Transactions on Information Theory, 2006, 52(2): 489-509.

[21] BRACEWELL R N. Strip integration in radio astronomy［J］. Australian Journal of Physics, 1956, 9(2): 198-217.