Wavelet thresholding-based denoising method of list-mode MLEM algorithm for compton imaging

IEEE Transactions on Nuclear Science

Volumn 58, Issue 3 PART 1, 2011, Pages 714-723

  Frandes, Mirela ^a,b,c   Magnin, Isabelle E ^a,b,c   Prost, Rémy ^a,b,c  

^a UNIVERSITÉ LYON 1   (France)

^b UNIVERSITÉ DE LYON   (France)

^c UNIVERSITÉ DE LYON   (France)

Author keywords

Compton imaging; denoising; list mode algorithms; wavelet thresholding

Indexed keywords

COMPTON IMAGING; COMPUTER EXPERIMENT; DE-NOISING TECHNIQUES; DENOISING; DENOISING METHODS; EXPECTATION MAXIMIZATION; GAUSSIAN SMOOTHING; HIGH FREQUENCY HF; IMAGE ESTIMATION; ITERATIVE IMAGE RECONSTRUCTION; LISTMODE; MAXIMUM LIKELIHOOD CRITERION; NOISE AMPLIFICATION; RECONSTRUCTION ERROR; STANDARD DEVIATION; SUB-BANDS; THRESHOLDING; WAVELET THRESHOLDING;

ALGORITHMS; IMAGE RECONSTRUCTION; MAXIMUM LIKELIHOOD ESTIMATION;

NOISE POLLUTION CONTROL;

EID: 79959380032     PISSN: 00189499     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNS.2011.2121093     Document Type: Article

References (32)

1. V. Schönfelder, A. Hirner, and K. Schneider, "A telescope for soft gamma ray astronomy," Nucl. Instrum. Methods, vol. 107, pp. 385-394, 1973.
2. A. Bolozdynya, C. E. Ordonez, and W. Chang, "A concept of cylindrical Compton camera for SPECT," in Proc. 1997 IEEE Nucl. Sci. Symp., 1997, pp. 1047-1051.
3. J. W. Leblanc, N. H. Clinthorne, C. H. Hua, E. Nygard, W. L. Rogers, D. K. Wehe, P. Weilhammer, and S. J. Wilderman, "Experimental results from the C-SPRINT prototype Compton camera," IEEE Trans. Nucl. Sci., vol. 46, no. 3, pp. 201-204, Jun. 1999. (Pubitemid 30504939)
4. S. Chelikani, J. Gore, and G. Zubal, "Optimizing Compton camera geometries," Phys. Med. Biol., vol. 49, no. 8, pp. 1387-1408, 2004. (Pubitemid 38578493)
5. M. Frandes, A. Zoglauer, V. Maxim, and R. Prost, "A tracking Compton-scattering imaging system for Hadron therapy monitoring," IEEE Trans. Nucl. Sci., vol. 57, no. 1, pp. 144-150, Feb. 2010.
6. H. H. Barrett, D. W. Wilson, and B. M. W. Tsui, "Noise properties of the em algorithm. i. theory," Phys. Med. Biol., vol. 39, no. 5, p. 833, 1994.
7. E. Veklerov and J. Llacer, "Stopping rule for the mle algorithm based on statistical hypothesis testing," IEEE Trans. Med. Imag., vol. MI-6, no. 4, pp. 313-319, Dec. 1987.
8. B. W. Silverman, M. C. Jones, J. D. Wilson, and D. W. Nychka, "A smoothed em approach to indirect estimation problems, with particular reference to stereology and emission tomography," J. R. Statist. Soc., vol. 52, pp. 271-324, 1990.
9. F. J. Beekman, E. T. P. Slijpen, and W. J. Niessen, "Selection of taskdependent diffusion filters for the post-processing of spect images," Phys. Med. Biol., vol. 43, no. 6, pp. 1713-1730, 1998. (Pubitemid 28277304)
10. V. Schöenfelder, H. Aarts, K. Bennett, H. De Boer, J. Clear, and W. Collmar, "Instrument description and performance of the imaging gamma-ray telescope COMPTEL aboard the Compton Gamma-Ray observatory," Astrophys. J. Supplement Ser., vol. 86, pp. 657-692, 1993.
11. J. Knodlseder, D. Dixon, K. Bennett, H. Bloemen, R. Diehl, W. Hermsen, U. Oberlack, J. Ryan, V. Schonfelder, and P. von Ballmoos, "Image reconstruction of COMPTEL 1.8 MeV 26Al line data," Astron. Astrophys., vol. 345, pp. 813-825, 1999. (Pubitemid 129650128)
12. S. Lee, M. N. Lee, V. G. Nguyen, S. M. Kim, and J. S. Lee, "Three-dimensional edge-preserving regularization for Compton camera reconstruction," in Proc. 2008 Nucl. Sci. Symp., 2008, pp. 3070-3073.
13. H. M. Hudson and R. S. Larkin, "Accelerated image reconstruction using ordered subsets of projection data," IEEE Trans. Med. Imag., vol. 13, no. 4, pp. 601-609, Dec. 1994.
14. S. J.Wilderman, W. L. Rogers, G. F. Knoll, and J. C. Engdahl, "Fast algorithm for list mode back-projection of Compton scatter camera data," IEEE Trans. Nucl. Sci., vol. 45, no. 3, pp. 957-962, Jun. 1998. (Pubitemid 128739144)
15. D. L. Donoho and I. M. Johnstone, "Ideal spatial adaptation by wavelet shrinkage," Biometrika, vol. 81, no. 3, pp. 425-455, 1994.
16. G. W. Phillips, "Gamma-ray imaging with Compton cameras," Nucl. Instrum. Meth. Phys. Res. B, vol. 99, pp. 674-677, 1995.
17. C. E. Ordonez, A. Bolozdynya, and W. Chang, "Dependence of angular uncertainties on the energy resolution of Compton cameras," in Proc. 1997 IEEE Nucl. Sci. Symp., 1997, pp. 1122-1125.
18. S. Parra and H. H. Barrett, "List-mode likelihood: Em algorithm and image quality estimation demonstrated on 2D pet," IEEE Trans. Med. Imag., vol. 17, no. 2, pp. 228-235, Apr. 1998. (Pubitemid 128747675)
19. M. J. Cree and P. J. Bones, "Towards direct reconstruction from a gamma camera based on Compton scattering," IEEE Trans. Med. Imag., vol. 13, no. 2, pp. 398-407, Jun. 1994.
20. R. Basko, G. L. Zeng, and G. T. Gulberg, "Application of spherical harmonics to image reconstruction for the Compton camera," Phys. Med. Biol., vol. 43, pp. 887-894, 1999.
21. L. C. Parra, "Reconstruction of cone-beam projections from Compton scattered data," IEEE Trans. Nucl. Sci., vol. 47, no. 4, pp. 1543-1550, Aug. 2000.
22. T. Tomitani and H. Hirasawa, "Image reconstruction from limited angle Compton camera data," Phys. Med. Biol., vol. 47, pp. 2129-2145, 2002. (Pubitemid 34727498)
23. V. Maxim, M. Frandes, and R. Prost, "Analytical inversion of the Compton transform using the full set of available projections," Inverse Probl., vol. 9, pp. 1-21, 2009.
24. M. Singh and D. Doria, "An electronically collimated gamma camera for single photon emission computed tomography. Part II: Image reconstruction and preliminary experimental measurements," Med. Phys., vol. 10, pp. 428-435, 1983. (Pubitemid 13025629)
25. R. R. Brechner, M. Singh, and R. Leahy, "Computer simulated studies of tomographic reconstruction with an electronically collimated camera for SPECT," IEEE Trans. Nucl. Sci., vol. 34, pp. 369-373, 1987. (Pubitemid 17548769)
26. R. R. Brechner and M. Singh, "Iterative reconstruction of electronically collimated SPECT images," IEEE Trans. Nucl. Sci., vol. 37, no. 3, pp. 1328-1332, Jun. 1990. (Pubitemid 20737700)
27. A. C. Sauve, A. O. Hero, W. L. Rogers, and N. H. Clinthone, "3D image reconstruction for a Compton SPECT camera model," IEEE Trans. Nucl. Sci., vol. 46, no. 6, pp. 2027-2084, Dec. 1993.
28. L. A. Shepp and Y. Vardi, "Maximum likelihood reconstruction for emission tomography," IEEE Trans. Med. Imag., vol. MI-1, no. 2, pp. 113-122, Oct. 1982. (Pubitemid 13557763)
29. K. Lange and R. Carson, "Em reconstruction algorithms for emission and transmission tomography," J. Comput. Assist. Tomogr., vol. 8, no. 2, pp. 306-316, 1984. (Pubitemid 14169679)
30. I. Daubechies, M. Defrise, and C. De Mol, "An iterative thresholding algorithm for linear inverse problems with a sparsity constraint," Commun. Pure Appl. Math., vol. 57, no. 11, pp. 1413-1457, 2004. (Pubitemid 39427442)
31. A. Zoglauer, R. Andritschke, and F. Schopper, "MEGAlib-The medium energy gamma-ray astronomy library," New Astron. Rev., vol. 50, pp. 629-632, Oct. 2006. (Pubitemid 44469327)
32. S. J. Wilderman, J. A. Fessler, N. H. Clinthorne, J. W. LeBlanc, and W. L. Rogers, "Improved modeling of system response in list mode EM reconstruction of Compton scatter camera images," IEEE Trans. Nucl. Sci., vol. 48, no. 1, pp. 111-116, Feb. 2001. (Pubitemid 32325610)