Robust principal component analysis-based four-dimensional computed tomography

Physics in Medicine and Biology

Volumn 56, Issue 11, 2011, Pages 3181-3198

  Gao, Hao ^a   Cai, Jian Feng ^a   Shen, Zuowei ^b   Zhao, Hongkai ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CARDIAC IMAGING; CARDIAC MRI; CHANGE DETECTION; COLUMN DIMENSIONS; COMPLEMENTARY DATA; COMPUTED TOMOGRAPHY; DYNAMIC STRATEGIES; FOUR-DIMENSIONAL COMPUTED TOMOGRAPHY; HEART MOTION; HYPERSPECTRAL IMAGING; IMAGING PROBLEMS; KEYPOINTS; LOW-RANK MATRICES; MATRIX; MODEL PROBLEMS; MOTION REDUCTION; PRINCIPAL COMPONENTS; RADIATION DOSE; RECONSTRUCTION ACCURACY; REFERENCE STATE; ROBUST PCA; SPARSE MATRICES; SPARSE REPRESENTATION; SPATIAL STRUCTURE; SPATIO-TEMPORAL MODELS; TEMPORAL COHERENCE; THREE-DIMENSIONAL (3D) IMAGE; TIGHT FRAME; TIME-VARYING COMPONENTS;

MAGNETIC RESONANCE IMAGING; MATRIX ALGEBRA; PATIENT MONITORING; PRINCIPAL COMPONENT ANALYSIS; ROBUST CONTROL; THREE DIMENSIONAL; TOMOGRAPHY;

COMPUTERIZED TOMOGRAPHY;

ALGORITHM; ARTICLE; FOUR DIMENSIONAL COMPUTED TOMOGRAPHY; IMAGE QUALITY; METHODOLOGY; MOVEMENT (PHYSIOLOGY); PRINCIPAL COMPONENT ANALYSIS;

ALGORITHMS; FOUR-DIMENSIONAL COMPUTED TOMOGRAPHY; MOVEMENT; PHANTOMS, IMAGING; PRINCIPAL COMPONENT ANALYSIS;

EID: 79956155972     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/56/11/002     Document Type: Article

References (50)

1. Alliney S 1992 Digital filters as absolute norm regularizers IEEE Trans. Signal Process. 40 1548-62
2. Buzug T 2008 Computed Tomography: From Photon Statistics to Modern Cone-Beam CT (Berlin: Springer)
3. Cai J F, Candès E J and Shen Z 2010 A singular value thresholding algorithm for matrix completion SIAM J. Optim. 20 1956-82
4. Cai J F, Chan R H and Shen Z 2008 A framelet-based image inpainting algorithm Appl. Comput. Harmon. Anal. 24 131-49 (Pubitemid 351215929)
5. Cai J F and Osher S 2010 Fast singular value thresholding without singular value decomposition UCLA CAM Report 10-24
6. Cai J F, Osher S and Shen Z 2009 Split Bregman methods and frame based image restoration Multiscale Model. Simul. 8 337-69
7. Candès E J, Li X, Ma Y and Wright J 2009 Robust principal component analysis? Technical Report Stanford University
8. Chai A and Shen Z 2007 Deconvolution: a wavelet frame approach Numer. Math. 106 529-87
9. Chan T F and Esedoglu S 2005 Aspects of total variation regularized L1 function approximation SIAM J. Appl. Math. 65 1817-37 (Pubitemid 41639797)
10. Combettes P L and Wajs V R 2005 Signal recovery by proximal forward-backward splitting Multiscale Model. Simul. 4 1168-200 (Pubitemid 44932287)
11. Daubechies I, Han B, Ron A and Shen Z 2003 Framelets: MRA-based constructions of wavelet frames Appl. Comput. Harmon. Anal. 14 1-46
12. Fahimian B P, Mao Y, Cloetens P and Miao J 2010 Low dose x-ray phase-contrast and absorption CT using equally-sloped tomography Phys. Med. Biol. 55 5383-400
13. Gao H and Zhao H K 2010 Multilevel bioluminescence tomography based on radiative transfer equation: part 2. Total variation and l1 data fidelity Opt. Express 18 2894-912
14. 1 regularized problems SIAM J. Imaging Sci. 2 323-43
15. Hale E, Yin W and Zhang Y 2008 Fixed-point continuation for l1-minimization: methodology and convergence SIAM J. Optim. 19 1107-30
16. Ji H, Liu C, Shen Z and Xu Y 2010 Robust video denoising using low rank matrix completion IEEE Conf. Computer Vision and Pattern Recognition (CVPR) (San Francisco)
17. Jia X, Lou Y, Dong B, Tian Z and Jiang S 2010 4D computed tomography reconstruction from few-projection data via temporal non-local regularization Lect. Not. Comput. Sci. 6361 143-50
18. Jiang S B, Wolfgang J and Mageras G S 2008 Quality assurance challenges for motion-adaptive radiation therapy: gating, breath holding, and four dimensional computed tomography Int. J. Radiat. Oncol. Biol. Phys. 71 S103-7
19. Keall P J, Starkschall G, Shukla H, Forster K M, Ortiz V, Stevens C W, Vedam S S, George R, Guerrero T and Mohan R 2004 Acquiring 4D thoracic CT scans using a multislice helical method Phys. Med. Biol. 49 2053-67 (Pubitemid 38735491)
20. Kudo H, Courdurier M, Noo F and Defrise M 2008 Tiny a priori knowledge solves the interior problem in computed tomography Phys. Med. Biol. 53 2207-31 (Pubitemid 351570907)
21. Lee L, Ma Y, Ye Y and Xing L 2009 Conceptual formulation on four-dimensional inverse planning for intensity modulated radiation therapy Phys. Med. Biol. 54 N255-66
22. Li T, Koong A and Xing L 2007 Enhanced 4D cone-beam CT with inter-phase motion model Med. Phys. 34 3688-95 (Pubitemid 47339766)
23. Li T, Schreibmann E, Thorndyke B, Tillman G, Boyer A, Koong A, Goodman K and Xing L 2005 Radiation dose reduction in four-dimensional computed tomography Med. Phys. 32 3650-60
24. Linton O W, Fred A and Mettler F A 2003 National conference on dose reduction in CT, with an emphasis on pediatric patients Am. J. Roentgenol. 181 321-9 (Pubitemid 36909472)
25. Liu G, Lin Z and Yu Y 2010 Robust subspace segmentation by low-rank representation Proc. 26th Int. Conf. on Machine Learning (ICML) (Haifa, Israel)
26. Low D et al 2003 A method for the reconstruction of four-dimensional synchronized CT scans acquired during free breathing Med. Phys. 30 1254-63 (Pubitemid 36735993)
27. Lu W, Parikh P J, Hubenschmidt J P, Bradley J D and Low D A 2006 A comparison between amplitude sorting and phase-angle sorting using external respiratory measurement for 4D CT Med. Phys. 33 2964-74 (Pubitemid 44154570)
28. Min K, Zhang Z, Wright J and Ma Y 2010 Decomposing background topics from keywords by principal component pursuit Proc. ACM Int. Conf. on Information and Knowledge Management (CIKM) (Toronto, Canada)
29. Nehmeh S A, Erdi Y E, Rosenzweig K E, Schoder H, Larson S M, Squire O D and Humm J L 2003 Reduction of respiratory motion artifacts in PET imaging of lung cancer by respiratory correlated dynamic PET: methodology and comparison with respiratory gated PET J. Nucl. Med. 44 1644-8 (Pubitemid 39663338)
30. Nikolova M 2002 Minimizers of cost-functions involving nonsmooth data fidelity terms. Application to the processing of outliers SIAM J. Numer. Anal. 40 965-94
31. Osher S, Burger M, Goldfarb D, Xu J and Yin W 2005 An iterative regularization method for total variation-based image restoration Multiscale Model. Simul. 4 460-89 (Pubitemid 43885248)
32. Pan X, Sidky E Y and Vannier M 2009 Why do commercial CT scanners still employ traditional, filtered back-projection for image reconstruction? Inverse Problems 25 123009
33. Peng Y, Ganesh A, Wright J, Xu W and Ma Y 2010 RASL: robust alignment by sparse and low-rank decomposition for linearly correlated images IEEE Conf. Computer Vision and Pattern Recognition (CVPR) (San Francisco)
34. Rietzel E, Pan T and Chen G T 2005 Four-dimensional computed tomography: image formation and clinical protocol Med. Phys. 32 874-89 (Pubitemid 40586772)
35. Rueckert D, Sonoda L I, Hayes C, Hill D L G, Leach M O and Hawkes D J 1999 Non-rigid registration using free-form deformations: application to breast MR images IEEE Trans. Med. Imaging 18 712-21 (Pubitemid 32262025)
36. d): the analysis of the analysis operator J. Funct. Anal. 148 408-47 (Pubitemid 127171400)
37. Rudin L, Osher S and Fatemi E 1992 Nonlinear total variation based noise removal algorithms J. Phys. D: Appl. Phys. 60 259-68
38. Schreibmann E, Thorndyke B, Li T, Wang J and Xing L 2008 Four-dimensional image registration for image-guided radiotherapy Int. J. Radiat. Oncol. Biol. Phys. 71 578-86
39. Shrimpton P C and Edyvean S 1998 CT scanner dosimetry Br. J. Radiol. 71 1-3
40. Vedam S S, Keall P J, Kini V R, Mostafavi H, Shukla H P and Mohan R 2003 Acquiring a four-dimensional computed tomography dataset using an external respiratory signal Phys. Med. Biol. 48 45-62 (Pubitemid 36124063)
41. Wang G, Ye Y and Yu H 2010 Interior tomography and instant tomography reconstruction from truncated limited angle projection data US Patent 7697658 B2
42. Wang G, Yu H Y and Ye Y B 2009 A scheme for multisource interior tomography Med. Phys. 36 3575-781
43. Wang G, Zhao S and Heuscher D 2002 A knowledge based cone beam x-ray CT algorithm for dynamic volumetric cardiac imaging Med. Phys. 29 1807-22 (Pubitemid 35364217)
44. Weickert J and Schnörr C 2001 Variational optic flow computation with a spatio-temporal smoothness constraint J. Math. Imaging Vis. 14 245-55 (Pubitemid 32638802)
45. Wu L, Ganesh A, Shi B, Matsushita Y, Wang Y and Ma Y 2010 Robust photometric stereo via low-rank matrix completion and recovery Proc. Asian Conf. on Computer Vision (Queenstown, New Zealand)
46. Xing L, Thorndyke B, Schreibmann E, Yang Y, Li T F, Kim G Y, Luxton G and Koong A 2006 Overview of image-guided radiation therapy Med. Dosim. 31 91-112
47. Ye Y B, Yu H Y, Wei Y C and Wang G 2007 A general local reconstruction approach based on a truncated Hilbert transform Int. J. Biomed. Imaging 2007 63634
48. Zhang X, Burger M, Bresson X and Osher S 2009 Bregmanized nonlocal regularization for deconvolution and sparse reconstruction UCLA CAM Report 09-03
49. Zhang Z, Liang X, Ganesh A and Ma Y 2010 TILT: transform invariant low-rank textures Proc. Asian Conf. on Computer Vision (Queenstown, New Zealand)
50. Zhu G, Yan S and Ma Y 2010 Image tag refinement towards low-rank, content-tag prior and error sparsity Proc. ACM Multimedia (Firenze, Italy)