Characterization of statistical prior image constrained compressed sensing (PICCS): II. Application to dose reduction

Medical Physics

Volumn 40, Issue 2, 2013, Pages

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

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

compressed sensing; computed tomography; CT dose reduction; image quality evaluation; statistical image reconstruction

Indexed keywords

ANISOTROPY; COMPRESSED SENSING; DIFFUSION; IMAGE COMPRESSION; IMAGE ENHANCEMENT; IMAGE RECONSTRUCTION; IMAGE RESOLUTION; NUMERICAL METHODS; NUMERICAL MODELS; STATISTICS; X RAYS;

CT DOSE REDUCTION; DIRECTIONAL DIFFUSION; FILTERED BACK-PROJECTION; IMAGE QUALITY EVALUATION; NOISE CHARACTERISTIC; STATISTICAL IMAGE RECONSTRUCTION; STATISTICAL MODELING; STATISTICAL WEIGHTING;

COMPUTERIZED TOMOGRAPHY;

ALGORITHM; ANISOTROPY; ARTICLE; COMPUTER ASSISTED TOMOGRAPHY; DIFFUSION COEFFICIENT; IMAGE RECONSTRUCTION; NOISE; NONHUMAN; NORMAL DISTRIBUTION; PHANTOM; POISSON DISTRIBUTION; PRIORITY JOURNAL; QUANTITATIVE STUDY; RADIATION DOSE REDUCTION; SIMULATION; STATISTICAL MODEL; X RAY; ANIMAL; IMAGE PROCESSING; METHODOLOGY; RADIATION DOSE; SIGNAL NOISE RATIO; STATISTICS;

ALGORITHMS; ANIMALS; IMAGE PROCESSING, COMPUTER-ASSISTED; RADIATION DOSAGE; SIGNAL-TO-NOISE RATIO; STATISTICS AS TOPIC; TOMOGRAPHY, X-RAY COMPUTED;

EID: 84873585711     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.4773866     Document Type: Article

References (46)

1. AAPM, " AAPM position statement on radiation risks from medical imaging procedures.," PP 25-A, 2011.
2. R. Kashyap and M. Mittal, " Picture reconstruction from projections.," IEEE Trans. Comput. C-24, 915-923 (1975). 10.1109/T-C.1975.224337
3. A. J. Rockmore and A. Macovski, " A maximum likelihood approach to transmission image reconstruction from projections.," IEEE Trans. Nucl. Sci. 24, 1929-1935 (1977). 10.1109/TNS.1977.4329128
4. K. Lange and R. Carson, " EM reconstruction algorithms for emission and transmission tomography. " J. Comput. Assist. Tomogr. 8, 306-316 (1984).
5. K. Sauer and C. Bouman, " A local update strategy for iterative reconstruction from projections.," IEEE Signal Process. 41, 534-548 (1993). 10.1109/78.193196
6. S. Manglos, G. Gagne, A. Krol, F. Thomas, and R. Narayanaswamy, " Transmission maximum-likelihood reconstruction with ordered subsets for cone beam CT.," Phys. Med. Biol. 40, 1225-1241 (1995). 10.1088/0031-9155/40/7/ 006
7. C. Bouman and K. Sauer, " A unified approach to statistical tomography using coordinate descent optimization.," IEEE Trans. Image Process. 5, 480-492 (1996). 10.1109/83.491321
8. C. Kamphuis and F. Beekman, " Accelerated iterative transmission ct reconstruction using an ordered subsets convex algorithm.," IEEE Trans. Med. Imaging 17, 1101-1105 (1998). 10.1109/42.746730
9. H. Erdogan and J. Fessler, " Ordered subsets algorithms for transmission tomography.," Phys. Med. Biol. 44, 2835-2851 (1999). 10.1088/0031-9155/44/11/311
10. 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, 4526-4544 (2007). 10.1118/1.2789499
11. J. Fessler and W. Rogers, " Spatial resolution properties of penalized-likelihood image reconstruction: Space-invariant tomographs.," IEEE Trans. Image Process. 5, 1346-1358 (1996). 10.1109/83.535846
12. J. Stayman and J. Fessler, " Regularization for uniform spatial resolution properties in penalized-likelihood image reconstruction.," IEEE Trans. Med. Image 19, 601-615 (2000). 10.1109/42.870666
13. 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, 660-663 (2008). 10.1118/1.2836423
14. 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, 5653-5673 (2008). 10.1088/0031-9155/53/20/006
15. G. Chen, J. Tang, and J. Hsieh, " Temporal resolution improvement using PICCS in MDCT cardiac imaging.," Med. Phys. 36, 2130-21305 (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, 4377-4388 (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, 6411-6429 (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, 2333-2350 (2010). 10.1088/0031-9155/55/8/014
19. 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
20. 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, 5530-5538 (2011). 10.1118/1.3637501
21. Z. Qi and G.-H. Chen, " Performance studies of PICCS based four-dimensional cone beam computed tomography (PICCS-4DCBCT).," Phys. Med. Biol. 56, 6709-6721 (2011). 10.1088/0031-9155/56/20/013
22. J. Ramirez-Giraldo, J. Trzasko, S. Leng, L. Yu, A. Manduca, and C. McCollough, " Nonconvex prior image constrained compressed sensing (NCPICCS): Theory and simulations on perfusion CT.," Med. Phys. 38, 2157-2167 (2011). 10.1118/1.3560878
23. G. Chen, P. Thériault Lauzier, J. Tang, B. Nett, S. Leng, J. Zambelli, Z. Qi, N. Bevins, A. Raval, and H. Rowley, " Time-resolved interventional cardiac c-arm cone-beam CT: An application of the piccs algorithm.," IEEE Trans. Med. Imag. 31 (4), 907-923 (2012). 10.1109/TMI.2011.2172951
24. P. Thériault Lauzier, J. Tang, and G.-H. Chen, " Prior image constrained compressed sensing: Implementation and performance evaluation.," Med. Phys. 39, 66-80 (2012). 10.1118/1.3666946
25. J. Tang, P. Thériault Lauzier, and G. Chen, " Dose reduction using prior image constrained compressed sensing (DR-PICCS).," Proc. SPIE 7961, 79612K-79612K-8 (2011). 10.1117/12.878200
26. M. Lubner, P. Pickhardt, J. Tang, and G. Chen, " Reduced image noise at low-dose multidetector CT of the abdomen with prior image constrained compressed sensing algorithm.," Radiology 260 (1), 248-256 (2011). 10.1148/radiol.11101380
27. J. Stayman, W. Zbijewski, Y. Otake, A. Uneri, S. Schafer, J. Lee, J. Prince, and J. Siewerdsen, " Penalized-likelihood reconstruction for sparse data acquisitions with unregistered prior images and compressed sensing penalties.," Proc. SPIE 7961, 79611L-79611L-6 (2011). 10.1117/12.878075
28. P. Thérriault Lauzier and G.-H. Chen, " Characterization of statistical prior image constrained compressed sensing. I. Applications to time-resolved contrast-enhanced CT.," Med. Phys. 39, 5930-5948 (2012). 10.1118/1.4748323
29. B. R. Whiting, " Signal statistics in x-ray computed tomography.," Proc. SPIE 4682, 53-60 (2002). 10.1117/12.465601
30. 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, 5781-5804 (2009). 10.1088/0031-9155/54/19/008
31. E. Candès, J. Romberg, and T. Tao, " Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information.," IEEE Trans. Inf. Theory 52, 489-509 (2006). 10.1109/TIT.2005.862083
32. E. Candès, J. Romberg, and T. Tao, " Stable signal recovery from incomplete and inaccurate measurements.," Commun. Pure Appl. Math. 59, 1207-1223 (2006). 10.1002/cpa.20124
33. D. Donoho, " Compressed sensing.," IEEE Trans. Inf. Theory 52, 1289-1306 (2006). 10.1109/TIT.2006.871582
34. L. Rudin, S. Osher, and E. Fatemi, " Nonlinear total variation based noise removal algorithms.," Physica D 60, 259-268 (1992). 10.1016/0167-2789(92)90242-F
35. J. Song, Q. Liu, G. Johnson, and C. Badea, " Sparseness prior based iterative image reconstruction for retrospectively gated cardiac micro-CT.," Med. Phys. 34, 4476-4483 (2007). 10.1118/1.2795830
36. E. Sidky and X. Pan, " Image reconstruction in circular cone-beam computed tomography by constrained, total-variation minimization.," Phys. Med. Biol. 53, 4777-4807 (2008). 10.1088/0031-9155/53/17/021
37. 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, 4920-4932 (2009). 10.1118/1.3232211
38. 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, 5113-5125 (2010). 10.1118/1.3481510
39. 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, 6575-6599 (2010). 10.1088/0031-9155/ 55/22/001
40. L. Ritschl, F. Bergner, C. Fleischmann, and M. Kachelrieß, " Improved total variation-based CT image reconstruction applied to clinical data.," Phys. Med. Biol. 56, 1545-1561 (2011). 10.1088/0031-9155/56/6/003
41. J. Weickert, Anisotropic Diffusion in Image Processing (Teubner, Stuttgart, 1998), Vol. 1.
42. J. Weickert, B. Romeny, and M. Viergever, " Efficient and reliable schemes for nonlinear diffusion filtering.," IEEE Trans. Image Process. 7, 398-410 (1998). 10.1109/83.661190
43. J. Weickert, " Coherence-enhancing diffusion filtering.," Int. J. Comput. Vis. 31, 111-127 (1999). 10.1023/A:1008009714131
44. J. Weickert and H. Scharr, " A scheme for coherence-enhancing diffusion filtering with optimized rotation invariance.," J. Visual Commun. Image Represent 13, 103-118 (2002). 10.1006/jvci.2001.0495
45. P. Perona and J. Malik, " Scale-space and edge detection using anisotropic diffusion.," IEEE Trans. Pattern Anal. Mach. Intell. 12, 629-639 (1990). 10.1109/34.56205
46. J. Nocedal and S. Wright, Numerical Optimization (Springer, New York, 1999).