Citation: | WANG Pei-yuan, ZHOU Hai-yun. Apply the Multiple-Sets Split Feasibility Problem to CT Image Reconstruction[J]. Applied Mathematics and Mechanics, 2013, 34(5): 506-517. doi: 10.3879/j.issn.1000-0887.2013.05.009 |
[1] |
Bauschke H H, Borwein J M. On projection algorithms for solving convex feasibility problems[J].SIAM Rev,1996,38(3): 367-426.
|
[2] |
Byrne C L. A unified treatment of some iterative algorithms in signal processing and image reconstruction[J].Inverse Problems,2004 ,20(1): 103-120.
|
[3] |
Censor Y, Elfving T. A multiprojection algorithm using Bregman projections in a product space[J].J Numer Math,1994, 8(2): 221-239.
|
[4] |
Byrne C L. Iterative projection onto convex sets using multiple Bregman distances[J]. Inverse Probl,1999, 15(5): 1295-1313.
|
[5] |
Byrne C L. BregmanLegendre multidistance projection algorithms for convex feasibility and optimization[C]//Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications,Amsterdam, The Netherlands: Elsevier Science Publishers, 2001: 87-99.
|
[6] |
Byrne C L. Iterative oblique projection onto convex sets and the split feasibility problem [J].Inverse Problems,2002, 18(2): 441-453.
|
[7] |
Fukushima M. A relaxed projection method for variational inequalities[J].Math Program,1986 ,35(1): 58-70.
|
[8] |
Yang Q. The relaxed CQ algorithm solving the split feasibility problem[J]. Inverse Problems,2004, 20(4): 1261-1266.
|
[9] |
Censor Y, Elfving T, Kopf N, Bortfeld T. The multiplesets split feasibility problem and its applications for inverse problems[J]. Inverse Problems,2005, 21(6): 2071-2084.
|
[10] |
Censor Y, Bortfeld T, Martin B, Trofimov A. A unified approach for inversion problems in intensitymodulated radiation therapy[J].Phys Med Biol,2006, 51(10): 2353-2365.
|
[11] |
López G, MartínMrquez V, WANG Fenghui, XU Hongkun. Solving the split feasibility problem without prior knowledge of matrix norms[J].Inverse Problems,2012, 28(8): 1-18.
|
[12] |
Zeng G S.Medical Image Reconstruction: A Conceptual Tutorial [M]. Beijing: Higher Education Press; Berlin Heidelberg: SpringerVerlag, 2010.
|