Model-based iterative reconstruction for dual-energy X-ray ct using a joint quadratic likelihood model

IEEE Transactions on Medical Imaging

Volumn 33, Issue 1, 2014, Pages 117-134

  Zhang, Ruoqiao ^a   Thibault, Jean Baptiste ^b   Bouman, Charles A ^a   Sauer, Ken D ^c   Hsieh, Jiang ^b  

^a PURDUE UNIVERSITY   (United States)

^b GE HEALTHCARE   (United States)

^c University of Notre Dame   (United States)

Author keywords

Computed tomography (CT); dual energy CT (DECT); model based iterative reconstruction (MBIR); spectral CT; statistical reconstruction

Indexed keywords

CARRIER CONCENTRATION; ELECTRON SOURCES; ITERATIVE METHODS; X RAYS;

DUAL-ENERGY CT; DUAL-ENERGY X-RAY CT; MODEL BASED ITERATIVE RECONSTRUCTION; NON-NEGATIVITY CONSTRAINTS; NONLINEAR FORWARD MODEL; QUADRATIC APPROXIMATION; STATISTICAL DEPENDENCIES; STATISTICAL RECONSTRUCTION;

COMPUTERIZED TOMOGRAPHY;

ALGORITHM; ARTICLE; COMPUTER ASSISTED TOMOGRAPHY; CONTROLLED STUDY; DENSITY; DUAL ENERGY X RAY COMPUTED TOMOGRAPHY; IMAGE QUALITY; INFORMATION PROCESSING; PHANTOM; STATISTICAL ANALYSIS; STATISTICAL MODEL; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; DEVICES; HUMAN; IMAGE ENHANCEMENT; IMAGING PHANTOM; PROCEDURES; RADIOGRAPHY; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; STATISTICS AND NUMERICAL DATA;

ALGORITHMS; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; HUMANS; LIKELIHOOD FUNCTIONS; MODELS, STATISTICAL; PHANTOMS, IMAGING; RADIOGRAPHIC IMAGE ENHANCEMENT; RADIOGRAPHIC IMAGE INTERPRETATION, COMPUTER-ASSISTED; RADIOGRAPHY, DUAL-ENERGY SCANNED PROJECTION; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; TOMOGRAPHY, X-RAY COMPUTED;

EID: 84892400445     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2013.2282370     Document Type: Article

References (60)

1. W. A. Kalender, W. H. Perman, J. R. Vetter, and E. Klotz, "Evaluation of a prototype dual-energy computed tomographic apparatus. I. Phantom studies," Med. Phys., vol. 13, no. 3, pp. 334-339, May/Jun. 1986.
2. T. Johnson, B. Krau, M. Sedlmair, M. Grasruck, H. Bruder, D. Morhard, C. Fink, S. Weckbach, M. Lenhard, B. Schmidt, T. Flohr, M. F. Reiser, and C. R. Becker, "Material differentiation by dual energy CT: Initial experience," Eur. J. Radiol., vol. 17, no. 6, pp. 1510-1517, Jun. 2007.
3. S. Singh and M. Singh, "Explosives detection systems (EDS) for aviation security," Signal Process., vol. 83, no. 1, pp. 31-55, Jan. 2003.
4. Z. Ying, R. Naidu, and C. R. Crawford, "Dual energy computed tomography for explosive detection," J. X-Ray Sci. Tech., vol. 14, pp. 235-256, 2006.
5. P. Engler andW. Friedman, "Review of dual-energy computed tomography techniques," Mater. Eval., vol. 48, pp. 623-629, 1990.
6. R. E. Alvarez and A. Macovski, "Energy-selective reconstructions in X-ray computerized tomography," Med. Phys., vol. 21, no. 5, pp. 733-744, Sep. 1976.
7. L. A. Lehmann, R. E. Alvarez, A. Macovski, W. R. Brody, N. J. Pelc, S. J. Riederer, and A. L. Hall, "Generalized image combinations in dual KVP digital radiography," Med. Phys., vol. 8, no. 5, pp. 659-667, Sep./Oct. 1981.
8. W. R. Brody, G. Butt, A. Hall, and A.Macovski, "Amethod for selective tissue and bone visualization using dual energy scanned projection radiography," Med. Phys., vol. 8, no. 3, pp. 353-357, May/Jun. 1981.
9. K.-S. Chuang and H. K. Huang, "A fast deal-energy computational method using isotransmission lines and table lookup," Med. Phys., vol. 14, no. 2, pp. 186-192, Mar./Apr. 1987.
10. H. N. Cardinal and A. Fenster, "An accurate method for direct dualenergy calibration and decomposition," Med. Phys., vol. 17, no. 3, pp. 327-341, May/Jun. 1990.
11. B. Brendel, E. Roessl, J.-P. Schlomka, and R. Proksa, "Empirical, projection-based basis-component decomposition method," in Proc. SPIE Med. Imag.: Phys. Med. Imag., 2009, p. 72583Y.
12. P. Stenner, T. Berkus, and M. Kachelrieß;, "Empirical dual energy calibration (EDEC) for cone-beam computed tomography," Med. Phys., vol. 34, no. 9, pp. 3630-3641, Sep. 2007.
13. U. Hassler, L. Garnero, and P. Rizo, "X-ray dual-energy calibration based on estimated spectral properties of the experimental system," IEEE Trans. Nucl. Sci., vol. 45, pp. 1699-1712, Jun. 1998.
14. Y. Zou and M. D. Silver, "Analysis of fast kV-switching in dual energy CT using a pre-reconstruction decomposition technique," in Proc. SPIE Med. Imag,: Phys. Med. Imag., 2008, p. 691313.
15. J. Noh, J. A. Fessler, and P. E. Kinahan, "Statistical sinogram restoration in dual-energy CT for PET attenuation correction," IEEE Trans. Med. Imag., vol. 28, no. 11, pp. 1688-1702, Nov. 2009.
16. R. A. Brooks, "A quantitative theory of the Hounsfield unit and its application to dual energy scanning," J. Comput. Assist. Tomogr., vol. 1, no. 4, pp. 487-493, 1977.
17. P. Joseph and R. Spital, "A method for correcting bone induced artifacts in computed tomography scanners," J. Comput. Assist. Tomogr., vol. 2, no. 1, pp. 100-108, 1978.
18. B. J. Heismann, J. Leppert, and K. Stierstorfer, "Density and atomic number measurements with spectral X-ray attenuation method," J. Appl. Phys., vol. 94, no. 3, pp. 2073-2079, 2003.
19. C. Maaß;, M. Baer, and M. Kachelrieß;, "Image-based dual energy CT using optimized precorrection functions: A practical new approach of material decomposition in image domain," Med. Phys., vol. 36, no. 8, pp. 3818-3829, 2009.
20. C. Maaß;, E. Meyer, and M. Kachelrieß;, "Exact dual energy material decomposition from inconsistent rays (MDIR)," Med. Phys., vol. 38, no. 2, pp. 691-700, 2011.
21. J.-B. Thibault, K. D. Sauer, J. Hsieh, and C. A. Bouman, "A three-dimensional statistical approach to improve image quality for multislice helical CT," Med. Phys., vol. 34, no. 11, pp. 4526-4544, Nov. 2007.
22. G.Wang, H. Yu, and B. De Man, "An outlook on X-ray CT research and development," Med. Phys., vol. 35, no. 3, pp. 1051-1064, 2008.
23. A. Ziegler, T. Kohler, and R. Proksa, "Noise and resolution in images reconstructed with FBP and OSC algorithms for CT," Med. Phys., vol. 34, no. 2, pp. 585-598, 2007.
24. Z. Yu, J.-B. Thibault, C. A. Bouman, K. D. Sauer, and J. Hsieh, "Fast model-based X-ray CT reconstruction using spatially nonhomogeneous ICD optimization," IEEE Trans. Image Process., vol. 20, no. 1, pp. 161-175, Jan. 2011.
25. K. D. Sauer and C. A. Bouman, "A local update strategy for iterative reconstruction from projections," IEEE Trans. Signal Process., vol. 41, no. 2, pp. 534-548, Feb. 1993.
26. C. A. Bouman and K. D. Sauer, "A unified approach to statistical tomography using coordinate descent optimization," IEEE Trans. Image Process., vol. 5, no. 3, pp. 480-492, Mar. 1996.
27. R. C. Nelson, S. Feuerlein, and D. T. Boll, "New iterative reconstruction techniques for cardiovascular computed tomography: How do they work, and what are the advantages and disadvantages?," J. Cardiovasc. Comput. Tomogr., vol. 5, no. 5, pp. 286-292, 2011.
28. H. Scheffel, P. Stolzmann, C. L. Schlett, L.-C. Engel, G. P. Major, M. Károlyi, S. Do, P. Maurovich-Horvat, and U. Hoffmann, "Coronary artery plaques: Cardiac CT with model-based and adaptive-statistical iterative reconstruction technique," Eur. J. Radiol., vol. 81, no. 3, pp. e363-e369, 2012.
29. D. B. Husarik, D. Marin, E. Samei, S. Richard, B. Chen, T. A. Jaffe,M. R. Bashir, and R. C. Nelson, "Radiation dose reduction in abdominal computed tomography during the late hepatic arterial phase using a model-based iterative reconstruction algorithm: How low can we go?," Invest. Radiol., vol. 47, no. 8, pp. 468-474, 2012.
30. Y. Yamada, M. Jinzaki, Y. Tanami, E. Shiomi, H. Sugiura, T. Abe, and S. Kuribayashi, "Model-based iterative reconstruction technique for ultralow-dose computed tomography of the lung: A pilot study," Invest. Radiol., vol. 47, no. 8, pp. 482-489, 2012.
31. P. J. Pickhardt,M. G. Lubner, D. H. Kim, J. Tang, J. A. Ruma, A. M. del Rio, and G.-H. Chen, "Abdominal CT with model-based iterative reconstruction (MBIR): Initial results of a prospective trial comparing ultralow-dose with standard-dose imaging," Am. J. Roentgenol., vol. 199, pp. 1266-1274, 2012.
32. P. Sukovic and N. H. Clinthorne, "Penalized weighted least-squares image reconstruction for dual energy X-ray transmission tomography," IEEE Trans. Med. Imag., vol. 19, no. 11, pp. 1075-1081, Nov. 2000.
33. J. A. Fessler, I. Elbakri, P. Sukovic, and N. H. Clinthorn, "Maximumlikelihood dual-energy tomographic image reconstruction," in Proc. SPIE Med. Imag.: Image Process., 2002, pp. 38-49.
34. J. A. O'Sullivan and J. Benac, "Alternating minimization algorithms for transmission tomography," IEEE Trans. Med. Imag., vol. 26, no. 3, pp. 283-297, Mar. 2007.
35. W. Huh and J. A. Fessler, "Model-based image reconstruction for dualenergy X-ray CT with fast KVP switching," in Proc. IEEE Int. Symp. Biomed. Imag.: From Nano to Macro, 2009, pp. 326-329.
36. O. Semerci and E. L.Miller, "A parametric level-set approach to simultaneous object identification and background reconstruction for dualenergy computed tomography," IEEE Trans. Image Process., vol. 21, no. 5, pp. 2719-2734, May 2012.
37. P. E. Kinahan, J. A. Fessler, A.M. Alessio, and T. K. Lewellen, "Quantative attenuation correction for PET/CT using iterative reconstruction of low-dose dual-energy CT," in Proc. IEEE Nucl. Sci. Symp., 2004, vol. 5, pp. 3285-3289.
38. P. E. Kinahan, A. M. Alessio, and J. A. Fessler, "Dual energy CT attenuation correction methods for quantitative assessment of response to cancer therapy with PET/CT imaging," Technol. Cancer Res. Treatment, vol. 5, no. 4, pp. 319-327, Aug. 2006.
39. W. Huh and J. A. Fessler, "Iterative image reconstruction for dualenergy X-ray CT using regularized material sinogram estimates," in Proc. IEEE Int. Symp. Biomed. Imag.: From Nano to Macro, 2011, pp. 1512-1515.
40. R. Alvarez and E. Seppi, "A comparison of noise and dose in conventional and energy selective computed tomography," IEEE Trans. Nucl. Sci., vol. 26, pp. 2853-2856, Apr. 1979.
41. W. A. Kalender, E. Klotz, and L. Kostaridou, "An algorithm for noise suppression in dual energy CT material density images," IEEE Trans. Med. Imag., vol. 7, no. 3, pp. 218-224, Sep. 1988.
42. R. Zhang, J.-B. Thibault, C. A. Bouman, K. D. Sauer, and J. Hsieh, "A model-based iterative algorithm for dual-energy X-ray CT reconstruction," in Proc. 2nd Int. Meet. Image Format. X-Ray CT, 2012, pp. 439-443.
43. N. H. Clinthorne, "A constrained dual-energy reconstruction method for material-selective transmission tomography," Nucl. Instrum. Methods Phys. Res. A, vol. 353, no. 1-3, pp. 347-348, 1994.
44. J.-B. Thibault, C. A. Bouman, K. D. Sauer, and J. Hsieh, "A recursive filter for noise reduction in statistical tomographic imaging," in Proc. SPIE Computat. Imag. IV, 2006, p. 60650X.
45. B. De Man and S. Basu, "Distance-driven projection and back projection in three-dimensions," Phys. Med. Biol., vol. 49, no. 11, pp. 2463-2475, Jun. 2004.
46. A. J. Coleman and M. Sinclair, "A beam-hardening correction using dual-energy computed tomography," Phys. Med. Biol., vol. 30, no. 11, pp. 1251-1256, 1985.
47. P. Jin, E. Haneda, C. A. Bouman, and K. D. Sauer, "A model-based 3-D multi-slice helical CT reconstruction algorithm for transportation security application," in Proc. 2nd Int. Meet. Image Format. X-Ray CT, 2012, pp. 297-300.
48. S. J. Kisner, E. Haneda, C. A. Bouman, S. Skatter,M. Kourinny, and S. Bedford, "Limited view angle iterative CT reconstruction," in Proc. SPIE Computat. Imag. X, 2012, p. 82960F.
49. S. V. Venkatakrishnan, L. F. Drummy, M. Jackson, M. De Graef, J. Simmons, and C. A. Bouman, "A model based iterative reconstruction algorithm for high angle annular dark field-Scanning transmission electron microscope (HAADF-STEM) tomography," IEEE Trans. Image Process., vol. 22, no. 11, pp. 4532-4544, Nov. 2013.
50. C. A. Bouman and K. D. Sauer, "A generalized Gaussian image model for edge-preserving MAP estimation," IEEE Trans. Image Process., vol. 2, no. 3, pp. 296-310, Jul. 1993.
51. Z. Yu, J.-B. Thibault, K. D. Sauer, C. A. Bouman, and J. Hsieh, "Accelerated line search for coordinate descent optimization," in Proc. IEEE Nucl. Sci. Symp., 2006, vol. 5, pp. 2841-2844.
52. J. Zheng, S. S. Saquib, K. D. Sauer, and C. A. Bouman, "Parallelizable Bayesian tomography algorithmswith rapid, guaranteed convergence," IEEE Trans. Image Process., vol. 9, no. 10, pp. 1745-1759, Oct. 2000.
53. H. Erdogan and J. A. Fessler, "Monotonic algorithms for transmission tomography," IEEE Trans. Med. Imag., vol. 18, no. 9, pp. 801-814, Sep. 1999.
54. J. A. Fessler and A. O. Hero, "Penalized maximum-likelihood image reconstruction using space-alternating generalized EM algorithms," IEEE Trans. Image Process., vol. 4, no. 10, pp. 1417-1429, Oct. 1995.
55. E. K. P. Chong and S. H. ?ak, An Introduction to Optimization Methods, 3rd ed. New York: Wiley, 2008, ch. 20.
56. D. H. Martin, "The essence of invexity," J. Optim. Theory Appl., vol. 47, no. 1, pp. 65-76, Sep. 1985.
57. X. Wu, J. W. Leblanc, and P. Sainath, "Method for calibrating a dualspectral computed tomography (CT) system," U.S. Patent 7 801 264, Sep. 21, 2010.
58. X.Wu, D.A. Langan,D.Xu, T. M. Benson, J.D. Pack, A.M. Schmitz, J. E. Tkaczyk, J. Leverentz, and P. Licato, "Monochromatic CT image representation via fast switching dual kVp," in Proc. SPIEMed. Imag.: Phys. Med. Imag., 2009, p. 725845.
59. C. J. Bischof and J. C. Ehrhardt, "Modulation transfer function of the EMI CT head scanner," Med. Phys., vol. 4, no. 2, pp. 163-167, 1977.
60. R.T.Droege andR. L.Morin, "Apractical method to measure the MTF of CT scanners," Med. Phys., vol. 9, no. 5, pp. 758-760, 1982.