A limited-angle CT reconstruction method based on anisotropic TV minimization

Physics in Medicine and Biology

Volumn 58, Issue 7, 2013, Pages 2119-2141

  Chen, Zhiqiang ^a,b   Jin, Xin ^a,b   Li, Liang ^a,b   Wang, Ge ^c  

^a TSINGHUA UNIVERSITY   (China)

^b KEY LABORATORY OF PARTICLE AND RADIATION IMAGING TSINGHUA UNIVERSITY   (China)

^c RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIVE SENSING; COMPUTED TOMOGRAPHY; CT RECONSTRUCTION; DATA CONSISTENCY; HIGH IMAGE QUALITY; MINIMIZATION METHODS; RECONSTRUCTION METHOD; TOTAL VARIATION;

ANISOTROPY;

COMPUTERIZED TOMOGRAPHY;

ANISOTROPY; ARTICLE; COMPUTER ASSISTED TOMOGRAPHY; HEAD; IMAGE PROCESSING; IMAGE QUALITY; METHODOLOGY; RADIOGRAPHY;

ANISOTROPY; HEAD; IMAGE PROCESSING, COMPUTER-ASSISTED; PHANTOMS, IMAGING; TOMOGRAPHY, X-RAY COMPUTED;

EID: 84875341318     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/58/7/2119     Document Type: Article

References (26)

1. Bian J, Siewerdsen J H, Han X, Sidky E Y, Prince J L, Pelizzari C A and Pan X C 2010 Evaluation of sparse-view reconstruction from flat-panel-detector cone-beam CT Phys. Med. Biol. 55 6575-99
2. Candes E and Romberg J 2005 Signal recovery from random projections Proc. SPIE 5674 76-86 (Pubitemid 40949239)
3. Candes E, Romberg J and Tao T 2006 Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information IEEE Trans. Inf. Theory 52 489-509 (Pubitemid 43174093)
4. Chen G H, Tang J and Hsieh J 2009 Temporal resolution improvement using PICCS in MDCT cardiac imaging Med. Phys. 36 2130-5
5. Chen G H, Tang J and Leng S 2008 Prior image constrained compressed sensing (PICCS): a method to accurately reconstruct dynamic CT images from highly undersampled projection data sets Med. Phys. 35 660-3 (Pubitemid 351190885)
6. Gao H, Zhang L, Chen Z, Xing Y, Zhang J and Chen J 2007 Volumetric imaging from a multisegment straight-line trajectory and a practical reconstruction algorithm Opt. Eng. 46 077004 (Pubitemid 47408645)
7. Gerchberg R W 1974 Super-resolution through error energy reduction Opt. Acta 21 709-20
8. Goldstein T and Osher S 2009 The split Bregman method for L1-regularized problems SIAM J. Imaging Sci. 2 323-43
9. Jin X, Li L, Chen Z, Zhang L and Xing Y 2010a Motion-compensated reconstruction method based on rigid motion model with multi-object Tsinghua Sci. Technol. 15 120-6
10. Jin X, Li L, Chen Z, Zhang L and Xing Y 2010b Anisotropic total variation for limited-angle CT reconstruction IEEE Nucl. Sci. Symp. Conf. Rec. (NSS/MIC) pp 2232-8
11. Li L, Chen Z, Kang K, Zhang L and Xing Y 2010 Recent advance in exact ROI/VOI image reconstruction Curr. Med. Imaging Rev. 6 112-8
12. Li L, Kang K, Chen Z, Zhang L, Xing Y, Yu H and Wang G 2008 An alternative derivation and description of Smith's data sufficiency condition for exact cone-beam reconstruction J. X-Ray Sci. Technol. 16 43-9 (Pubitemid 351700674)
13. Li L, Chen Z, Zhang L and Kang K 2006 An exact reconstruction algorithm in variable pitch helical cone-beam CT when PI-line exists J. X-Ray Sci. Technol. 14 109-18 (Pubitemid 43893800)
14. Nassi M, Brody W, Medoff B and Macovski A 1982 Iterative reconstruction-reprojection: an algorithm for limited data cardiac-computed tomography IEEE Trans. Biomed. Eng. 29 333-41
15. Natterer F 2001 The Mathematics of Computerized Tomography (New York: Wiley) pp 184 (first edn, 1986)
16. Quinto E T 1988a Exterior and limited angle tomography in non-destructive evaluation Inverse Probl. 14 339-53
17. Quinto E T 1988b Tomographic reconstructions from incomplete data-numerical inversion of the exterior Radon transform Inverse Probl. 4 867-76
18. Ritschl L, Bergner F, Fleischmann C and Kachelrie M 2011 Improved total variation-based CT image reconstruction applied to clinical data Phys. Med. Biol. 56 1545-61
19. Sidky E Y, Kao C and Pan X C 2006 Accurate image reconstruction from few-views and limited-angle data in divergent-beam CT J. X-Ray Sci. Technol. 14 119-39 (Pubitemid 43893801)
20. Sidky E Y, Pan X C, Reiser I S, Nishikawa R M, Moore R H and Kopans D B 2009 Enhanced imaging of micro calcifications in digital breast tomosynthesis through improved image-reconstruction algorithms Med. Phys. 36 4920-32
21. Tang J, Nett B E and Chen G H 2009 Performance comparison between total variation (TV)-based compressed sensing and statistical iterative reconstruction algorithms Phys. Med. Biol. 54 5781
22. Tuy H 1983 An inversion formula for cone-beam reconstruction SIAM J. Appl. Math. 43 546-52
23. Wang Z, Huang Z, Chen Z, Zhang L, Jiang X, Kang X, Yin H, Wang H and Stampanoni M 2011 Low-dose multiple-information retrieval algorithm for x-ray grating-based imaging Nucl. Instrum. Methods Phys. Res. A 635 103-7
24. Xu Q, Mou X, Wang G, Sieren J, Hoffman E A and Yu H 2011 Statistical interior tomography IEEE Trans. Med. Imaging 30 1116-28
25. Yu H and Wang G 2009 Compressed sensing based interior tomography Phys. Med. Biol. 54 2791-805
26. Yu H and Wang G 2010 A soft-threshold filtering approach for reconstruction from a limited number of projections Phys. Med. Biol. 55 3905-16