Prior image constrained compressed sensing: Implementation and performance evaluation

Medical Physics

Volumn 39, Issue 1, 2012, Pages 66-80

  Lauzier, Pascal Thériault ^a   Tang, Jie ^a   Chen, Guang Hong ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

compressed sensing; computed tomography; reconstruction algorithms

Indexed keywords

COMPRESSED SENSING; CONJUGATE GRADIENT METHOD; FUNCTION EVALUATION; IMAGE COMPRESSION; IMAGE RECONSTRUCTION; IMAGE RESOLUTION; IMAGE TEXTURE; MEAN SQUARE ERROR; OPTIMAL SYSTEMS; OPTIMIZATION; QUALITY CONTROL; STEEPEST DESCENT METHOD; TEXTURES;

COMPUTED TOMOGRAPHY SCANNERS; FILTERED BACKPROJECTION ALGORITHM; MINIMIZATION ALGORITHMS; OPTIMIZATION PROCEDURES; RECONSTRUCTION ALGORITHMS; RECONSTRUCTION FRAMEWORKS; ROOT MEAN SQUARE ERRORS; UNCONSTRAINED MINIMIZATION;

COMPUTERIZED TOMOGRAPHY;

ANIMALIA;

EID: 84855425876     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.3666946     Document Type: Article

References (42)

1. R. Gordon, R. Bender, and G. Herman, Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography., J. Theor. Biol. 29, 471-481 (1970). 10.1016/0022-5193(70)90109-8
2. G. Herman, Image Reconstruction From Projections, 2nd ed. (Springer, New York, 2009).
3. A. Andersen and A. Kak, Simultaneous algebraic reconstruction technique (SART): A superior implementation of the ART algorithm., Ultrason. Imaging 6, 81-94 (1984). 10.1016/0161-7346(84)90008-7
4. T. C. Gabor, On some optimization techniques in image reconstruction from projections., Appl. Numer. Math. 3, 365-391 (1987). 10.1016/0168-9274(87)90028- 6
5. M. Jiang and G. Wang, Convergence of the simultaneous algebraic reconstruction technique (SART)., IEEE Trans. Image Process. 12, 957-961 (2003). 10.1109/TIP.2003.815295
6. M. Jiang and G. Wang, Convergence studies on iterative algorithms for image reconstruction., IEEE Trans. Med. Imaging 22, 569-579 (2003). 10.1109/TMI.2003.812253
7. G. Wang and M. Jiang, Ordered-subset simultaneous algebraic reconstruction techniques (OS-SART)., J. X-Ray Sci. Technol. 12 (3), 169-177 (2004).
8. E. Candés, J. Romberg, and T. Tao, Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information., IEEE Trans. Inf. Theory 52, 489 (2006). 10.1109/TIT.2005.862083
9. E. Candes, J. Romberg, and T. Tao, Stable signal recovery from incomplete and inaccurate measurements., Commun. Pure Appl. Math. 59, 1207-1223 (2006). 10.1002/cpa.v59:8
10. D. Donoho, Compressed sensing., IEEE Trans. Inf. Theory 52, 1289-1306 (2006). 10.1109/TIT.2006.871582
11. G. Chen, J. Tang, and S. Leng, Prior image constrained compressed sensing (PICCS): A method to accurately reconstruct dynamic CT images from highly undersampled projection data sets., Med. Phys. 35, 660 (2008). 10.1118/1.2836423
12. S. Leng, J. Tang, J. Zambelli, B. Nett, R. Tolakanahalli, and G. Chen, High temporal resolution and streak-free four-dimensional cone-beam computed tomography., Phys. Med. Biol. 53, 5653 (2008). 10.1088/0031-9155/53/20/006
13. Z. Qi and G.-H. Chen, Extraction of tumor motion trajectories using prior image constrained compressed sensing based four-dimensional cone beam CT (PICCS-4DCBCT): A validation study., Med. Phys. 38, 5530 (2011). 10.1118/1.3637501
14. Z. Qi and G.-H. Chen, Performance studies of PICCS based four dimensional cone beam computed tomography (PICCS-4DCBCT)., Phys. Med. Biol. 56, 6709 (2011). 10.1088/0031-9155/56/20/013
15. G. Chen, J. Tang, and J. Hsieh, Temporal resolution improvement using PICCS in MDCT cardiac imaging., Med. Phys. 36, 2130 (2009). 10.1118/1.3130018
16. J. Tang, J. Hsieh, and G. Chen, Temporal resolution improvement in cardiac CT using PICCS (TRI-PICCS): Performance studies., Med. Phys. 37, 4377 (2010). 10.1118/1.3460318
17. T. Szczykutowicz and G. Chen, Dual energy CT using slow kVp switching acquisition and prior image constrained compressed sensing., Phys. Med. Biol. 55, 6411 (2010). 10.1088/0031-9155/55/21/005
18. B. Nett, R. Brauweiler, W. Kalender, H. Rowley, and G. Chen, Perfusion measurements by micro-CT using prior image constrained compressed sensing (PICCS): Initial phantom results., Phys. Med. Biol. 55, 2333 (2010). 10.1088/0031-9155/55/8/014
19. J. Tang, P. T. Lauzier, and G. Chen, Dose reduction using prior image constrained compressed sensing (DR-PICCS)., Proc. SPIE 7961, 79612K (2011). 10.1117/12.878200
20. M. Lubner, P. Pickhardt, J. Tang, and G. Chen, Reduced image noise at low-dose multi-detector ct of the abdomen with prior image constrained compressed sensing algorithm., Radiology 260, 248 (2011). 10.1148/radiol. 11101380
21. J. Ramirez-Giraldo, J. Trzasko, S. Leng, C. McCollough, and A. Manduca, Non-convex prior image constrained compressed sensing (NC-PICCS)., Proc. SPIE, 7622, 76222C (2010). 10.1117/12.837239
22. J. Ramirez-Giraldo, J. Trzasko, S. Leng, L. Yu, A. Manduca, and C. McCollough, Non-convex prior image constrained compressed sensing (NCPICCS): Theory and simulations on perfusion CT., Med. Phys. 38, 2157 (2011). 10.1118/1.3560878
23. E. Sidky and X. Pan, Image reconstruction in circular cone-beam computed tomography by constrained, total-variation minimization., Phys. Med. Biol. 53, 4777 (2008). 10.1088/0031-9155/53/17/021
24. E. Sidky, X. Pan, I. Reiser, R. Nishikawa, R. Moore, and D. Kopans, Enhanced imaging of microcalcifications in digital breast tomosynthesis through improved image-reconstruction algorithms., Med. Phys. 36, 4920 (2009). 10.1118/1.3232211
25. L. Ritschl, F. Bergner, C. Fleischmann, and M. Kachelrie, Improved total variation-based ct image reconstruction applied to clinical data., Phys. Med. Biol. 56, 1545 (2011). 10.1088/0031-9155/56/6/003
26. J. Song, Q. Liu, G. Johnson, and C. Badea, Sparseness prior based iterative image reconstruction for retrospectively gated cardiac micro-CT., Med. Phys. 34, 4476 (2007). 10.1118/1.2795830
27. K. Choi, J. Wang, L. Zhu, T. Suh, S. Boyd, and L. Xing, Compressed sensing based cone-beam computed tomography reconstruction with a first-order method., Med. Phys. 37, 5113 (2010). 10.1118/1.3481510
28. Y. Nesterov, Gradient methods for minimizing composite objective function., Technical Report (Center for Operations Research and Econometrics (CORE), Universite Catholique de Louvain, 2007).
29. J. Bian, J. Siewerdsen, X. Han, E. Sidky, J. Prince, C. Pelizzari, and X. Pan, Evaluation of sparse-view reconstruction from flat-panel-detector cone-beam CT., Phys. Med. Biol. 55, 6575 (2010). 10.1088/0031-9155/55/22/001
30. J. Thibault, K. Sauer, C. Bouman, and J. Hsieh, A three-dimensional statistical approach to improved image quality for multislice helical CT., Med. Phys. 34, 4526 (2007). 10.1118/1.2789499
31. J. Tang, B. Nett, and G. Chen, Performance comparison between total variation (TV)-based compressed sensing and statistical iterative reconstruction algorithms., Phys. Med. Biol. 54, 5781 (2009). 10.1088/0031-9155/54/19/008
32. L. Rudin, S. Osher, and E. Fatemi, Nonlinear total variation based noise removal algorithms., Physica D: Nonlinear Phenom. 60, 259-268 (1992). 10.1016/0167-2789(92)90242-F
33. U. Ascher, E. Haber, and H. Huang, On effective methods for implicit piecewise smooth surface recovery., SIAM J. Sci. Comput. 28, 339 (2006). 10.1137/040617261
34. J. Nocedal and S. Wright, Numerical Optimization (Springer, New York, 1999).
35. J. Shewchuk, An introduction to the conjugate gradient method without the agonizing pain., (1994), http://www.cs.cmu.edu/~quake-papers/painless- conjugate-gradient.pdf by the School of Computer Science at Carnegie Mellon University.
36. M. Hestenes and E. Stiefel, Methods of Conjugate Gradients for Solving Linear Systems., J. Res. Natl. Bur. Stand. 49 409-436 (1952).
37. R. Fletcher and C. Reeves, Function minimization by conjugate gradients., Comput. J. 7, 149-154 (1964). 10.1093/comjnl/7.2.149
38. A. Polak and Ribiére, Note sur la convergence de méthodes de directions conjuguées., Revue frangaise d'informatique et de recherche opérationnelle 3, 35-43 (1969).
39. M. Powell, Restart procedures for the conjugate gradient method., Math. Program. 12, 241-254 (1977). 10.1007/BF01593790
40. C. Vogel and M. Oman, Iterative methods for total variation denoising., SIAM J. Sci. Comput. 17, 227-238 (1996). 10.1137/0917016
41. C. Vogel and M. Oman, Fast, robust total variation-based reconstruction of noisy, blurred images., IEEE Trans. Image Process. 7, 813-824 (2002). 10.1109/83.679423
42. Z. Wang and A. Bovik, A universal image quality index., IEEE Signal Process. Lett. 9, 81-84 (2002). 10.1109/97.995823