Nonconvex prior image constrained compressed sensing (NCPICCS): Theory and simulations on perfusion CT

Medical Physics

Volumn 38, Issue 4, 2011, Pages 2157-2167

  Ramirez Giraldo, J C ^a,b   Trzasko, J ^a   Leng, S ^a   Yu, L ^a   Manduca, A ^a,b   McCollough, C H ^a  

^a MAYO CLINIC   (United States)

^b MAYO GRADUATE SCHOOL   (United States)

Author keywords

compressed sensing; dynamic CT; image reconstruction; perfusion CT; radiation dose reduction

Indexed keywords

ANIMALS; COMPRESSED SENSING; COMPUTATION THEORY; DATA REDUCTION; IMAGE COMPRESSION; IMAGE RECONSTRUCTION; IMAGE SEGMENTATION; PHANTOMS; RECOVERY;

ARTERIAL INPUT FUNCTION; COMPUTATIONAL ADVANTAGES; DYNAMIC CT; FUNCTIONAL INFORMATION; IMAGE RECONSTRUCTION METHODS; IMAGE RECONSTRUCTION TECHNIQUES; PERFUSION-CT; RADIATION DOSE REDUCTIONS;

COMPUTERIZED TOMOGRAPHY;

ANIMALIA;

EID: 79953654020     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.3560878     Document Type: Article

References (44)

1. D. J. Brenner and E. J. Hall, "Computed tomography - An increasing source of radiation exposure," N. Engl. J. Med. 357, 2277-2284 (2007).
2. A. J. Einstein, M. J. Henzlova, and S. Rajagopalan, "Estimating risk of cancer associated with radiation exposure from 64-slice computed tomography coronary angiography," JAMA, J. Am. Med. Assoc. 298, 317-323 (2007).
3. C. H. McCollough, L. Guimaraes, and J. G. Fletcher, "In defense of body CT," AJR, Am. J. Roentgenol. 193, 28-39 (2009).
4. C. H. McCollough, A. N. Primak, N. Braun, J. Kofler, L. Yu, and J. Christner, "Strategies for reducing radiation dose in CT," Radiol. Clin. North Am. 47, 27-40 (2009).
5. L. Yu, X. Liu, S. Leng, J. Kofler, J. Ramirez-Giraldo, M. Qu, J. A. Christner, J. G. Fletcher, and C. H. McCollough, "Radiation dose reduction in CT: Techniques and future perspective," Imaging in Medicine. 1, 65-84 (2009).
6. M. Cohnen, H. J. Wittsack, S. Assadi, K. Muskalla, A. Ringelstein, L. W. Poll, A. Saleh, and U. Modder, "Radiation exposure of patients in comprehensive computed tomography of the head in acute stroke," AJNR Am. J. Neuroradiol. 27, 1741-1745 (2006).
7. R. Goetti, S. Leschka, L. Desbiolles, E. Klotz, P. Samaras, L. von Boehmer, F. Stenner, C. Reiner, P. Stolzmann, H. Scheffel, A. Knuth, B. Marincek, and H. Alkadhi, "Quantitative computed tomography liver perfusion imaging using dynamic spiral scanning with variable pitch: Feasibility and initial results in patients with cancer metastases," Invest. Radiol. 45, 419-426 (2010).
8. K. A. Miles and M. R. Griffiths, "Perfusion CT: A worthwhile enhancement?," Br. J. Radiol. 76, 220-231 (2003).
9. S. K. Carlson, C. E. Bender, K. L. Classic, F. E. Zink, J. P. Quam, E. M. Ward, and A. L. Oberg, "Benefits and safety of CT fluoroscopy in interventional radiologic procedures," Radiology 219, 515-520 (2001).
10. X. Liu, A. N. Primak, J. D. Krier, L. Yu, L. O. Lerman, and C. H. McCollough, "Renal perfusion and hemodynamics: Accurate in vivo determination at CT with a 10-fold decrease in radiation dose and HYPR noise reduction," Radiology 253, 98-105 (2009).
11. M. Supanich, Y. Tao, B. Nett, K. Pulfer, J. Hsieh, P. Turski, C. Mistretta, H. Rowley, and G. H. Chen, "Radiation dose reduction in time-resolved CT angiography using highly constrained back projection reconstruction," Phys. Med. Biol. 54, 4575-4593 (2009).
12. G. H. 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).
13. J. Hsieh, Y. Wei, and G. Wang, "Fractional scan algorithms for low-dose perfusion CT," Med. Phys. 31, 1254-1247 (2004).
14. J. Ramirez-Giraldo, J. Trzasko, S. Leng, C. McCollough, and A. Manduca, "Non-convex prior image constrained compressed sensing (NC-PICCS)," in Proceedings of SPIE Medical Imaging Conference, Vol. 7622C, 2010.
15. E. J. Candes, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans. Inf. Theory 52, 489-509 (2006).
16. D. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory 52, 1289-1306 (2006).
17. K. T. Block, M. Uecker, and J. Frahm, "Undersampled radial MRI with multiple coils. Iterative image reconstruction using a total variation constraint," Magn. Reson. Med. 57, 1086-1098 (2007).
18. M. Lustig, D. Donoho, and J. M. Pauly, "Sparse MRI: The application of compressed sensing for rapid MR imaging," Magn. Reson. Med. 58, 1182-1195 (2007).
19. H. Wang, K. Zhou, Y. Yu, S. Bao, Y. Miao, Q. He, Y. Dai, and S. Xuan, "Feasibility of high temporal resolution breast DCE-MRI using compressed sensing theory," Med. Phys. 37, 4971-4982 (2010).
20. K. Choi, S. Boyd, J. Wang, L. Xing, L. Zhu, and T. Suh, "Compressed sensing based cone-beam computed tomography reconstruction with a first-order method," Med. Phys. 37, 5113-5126 (2010).
21. X. Pan, E. Y. Sidky, and M. Vannier, "Why do commercial CT scanners still employ traditional, filtered back-projection for image reconstruction?," Inverse Probl. 25, 123009 (2009).
22. E. Y. Sidky and X. Pan, "Image reconstruction in circular cone-beam computed tomography by constrained, total-variation minimization," Phys. Med. Biol. 53, 4777-4807 (2008).
23. J. Song, Q. H. Liu, G. A. Johnson, and C. T. Badea, "Sparseness prior based iterative image reconstruction for retrospectively gated cardiac micro-CT," Med. Phys. 34, 4476-4483 (2007).
24. H. Yu and G. Wang, "Compressed sensing based interior tomography," Phys. Med. Biol. 54, 2791-2805 (2009).
25. E. J. Candes and J. Romberg, "Practical signal recovery from random projections," in Proceedings of the SPIE Wavelet Applications in Signal and Image Processing Conference XI, Vol. 5914, 2004.
26. E. J. Candès, M. Wakin, and S. Boyd, "Enhancing sparsity by reweighted ℓ1 minimization," J. Fourier Anal. Appl. 14, 877-905 (2008).
27. R. Chartrand, "Exact reconstruction of sparse signals via non-convex minimization," IEEE Signal Process. Lett. 14, 707-710 (2007).
28. J. Trzasko and A. Manduca, "Highly undersampled magnetic resonance image reconstruction via homotopic lo-minimization," IEEE Trans. Med. Imaging 28, 106-121 (2009).
29. J. Trzasko and A. Manduca, "Relaxed conditions for sparse signal recovery with general concave priors," IEEE Trans. Signal Process. 57, 4347-4354 (2009).
30. E. Y. Sidky, R. Chartrand, and X. Pan, "Image reconstruction from few views by non-convex optimization," in IEEE Nuclear Science Symposium Conference Record, Vol. 5, pp. 3526-3530, 2007 (unpublished).
31. E. Y. Sidky, X. Pan, I. S. Reiser, R. M. Nishikawa, R. H. Moore, and D. B. Kopans, "Enhanced imaging of microcalcifications in digital breast tomosynthesis through improved image-reconstruction algorithms," Med. Phys. 36, 4920-4932 (2009).
32. S. Leng, J. Tang, J. Zambelli, B. Nett, R. Tolakanahalli, and G. H. Chen, "High temporal resolution and streak-free four-dimensional cone-beam computed tomography," Phys. Med. Biol. 53, 5653-5673 (2008).
33. G. H. Chen, J. Tang, and J. Hsieh, "Temporal resolution improvement using PICCS in MDCT cardiac imaging," Med. Phys. 36, 2130-2135 (2009).
34. J. Tang, J. Hsieh, and G. H. Chen, "Temporal resolution improvement in cardiac CT using PICCS (TRI-PICCS): Performance studies," Med. Phys. 37, 4377-4388 (2010).
35. F. Bergner, T. Berkus, M. Oelhafen, P. Kunz, T. Pan, R. Grimmer, L. Ritschl, and M. Kachelriess, "An investigation of 4D cone-beam CT algorithms for slowly rotating scanners," Med. Phys. 37, 5044-5053 (2010).
36. T. Szczkutowicz, J. Hsieh, and G. Chen, "The dependence of image quality on the number of high and low kVp projections in dual energy CT using the prior image constrained compressed sensing (PICCS) algorithm," in Proceedings of SPIE Medical Imaging Conference, Vol. 762221, 2010.
37. E. Y. Sidky, C. M. Kao, and X. Pan, "Accurate image reconstruction from few-views and limited-angle data in divergent-beam CT," J. X-Ray Sci. Technol. 14, 119-139 (2006).
38. T. P. Szczykutowicz and G.-H. Chen, "Dual energy CT using slow kVp switching acquisition and prior image constrained compressed sensing," Phys. Med. Biol. 55, 6411-6429 (2010).
39. J. Tang, B. E. Nett, and G. H. Chen, "Performance comparison between total variation (TV)-based compressed sensing and statistical iterative reconstruction algorithms," Phys. Med. Biol. 54, 5781-5804 (2009).
40. J. B. Thibault, K. D. Sauer, C. A. Bouman, and J. Hsieh, "A three-dimensional statistical approach to improved image quality for multislice helical CT," Med. Phys. 34, 4526-4544 (2007).
41. D. Xu, D. Langan, X. Wu, J. Pack, T. Benson, J. Tkaczky, and A. Schmitz, "Dual energy CT via fast kVp switching spectrum estimation," in Proceedings of SPIE Medical Imaging, Vol. 72583T, 2009.
42. E. L. Ritman, J. H. Kinsey, R. A. Robb, B. K. Gilbert, L. D. Harris, and E. H. Wood, "Three-dimensional imaging of heart, lungs, and circulation," Science 210, 273-280 (1980).
43. E. M. Quan and D. S. Lalush, "Three-dimensional imaging properties of rotation-free square and hexagonal micro-CT systems," IEEE Trans. Med. Imaging 29, 916-923 (2010).
44. B. E. Nett, R. Brauweiler, W. Kalender, H. Rowley, and G. H. Chen, "Perfusion measurements by micro-CT using prior image constrained compressed sensing (PICCS): Initial phantom results," Phys. Med. Biol. 55, 2333-2350 (2010).