GPU-accelerated 3D Bayesian image reconstruction from Compton scattered data

Physics in Medicine and Biology

Volumn 56, Issue 9, 2011, Pages 2817-2836

  Nguyen, Van Giang ^a   Lee, Soo Jin ^a   Lee, Mi No ^a  

^a PaiChai University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATED METHOD; APPROXIMATION SCHEME; BACK-PROJECTION; BACK-PROJECTION METHODS; BAYESIAN IMAGE RECONSTRUCTION; BAYESIAN RECONSTRUCTION; CACHING SCHEME; CHORD LENGTHS; COMPTON; COMPTON CAMERA; COMPUTATIONAL SPEED; CONVERGENCE RATES; GRAPHICS HARDWARE; GRAPHICS PROCESSING UNIT; HIGH RESOLUTION; ITERATIVE RECONSTRUCTION; LOSS OF ACCURACY; ON THE FLIES; PARALLEL COMPUTING; RECONSTRUCTION ACCURACY; SCATTERED DATA; SIMULATION STUDIES; SYSTEM MATRICES;

CAMERAS; COMPUTER GRAPHICS EQUIPMENT; IMAGE RECONSTRUCTION; PARALLEL ARCHITECTURES; PROGRAM PROCESSORS;

THREE DIMENSIONAL;

ALGORITHM; ARTICLE; BAYES THEOREM; COMPUTER GRAPHICS; IMAGE QUALITY; METHODOLOGY; RADIATION SCATTERING; THREE DIMENSIONAL IMAGING;

ALGORITHMS; BAYES THEOREM; COMPUTER GRAPHICS; IMAGING, THREE-DIMENSIONAL; PHANTOMS, IMAGING; SCATTERING, RADIATION;

EID: 79954619223     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/56/9/012     Document Type: Article

References (45)

1. Agostinelli S et al 2003 GEANT4-a simulation toolkit Nucl. Instrum. Methods Phys. Res. A 506 250-303
2. Ahn S and Fessler J A 2003 Globally convergent image reconstruction for emission tomography using relaxed ordered subsets algorithms IEEE Trans. Med. Imaging 22 613-26
3. Basko R, Zeng G L and Gullberg G T 1998 Application of spherical harmonics to image reconstruction for the Compton camera Phys. Med. Biol. 43 887-94 (Pubitemid 28168417)
4. Bertsekas D 1976 On the Goldstein-Levitin-Polyak gradient projection method IEEE Trans. Automat. Control 21 174-84
5. Bouman C and Sauer K 1993 A generalized Gaussian image model for edge-preserving MAP estimation IEEE Trans. Image Process. 2 296-310 (Pubitemid 23697158)
6. Chelikani S, Gore J and Zubal G 2004 Optimizing Compton camera geometries Phys. Med. Biol. 49 1387-408 (Pubitemid 38578493)
7. Chidlow K and Möller T 2003 Rapid emission tomography reconstruction Vol. Graph. 45 15-26
8. Cree M J and Bones P J 1994 Towards direct reconstruction from a Gamma camera based on Compton scattering IEEE Trans. Med. Imaging 13 398-407
9. De Pierro A R and Yamagishi M E B 2001 Fast EM-like methods for maximum 'a posteriori' estimates in emission tomography IEEE Trans. Med. Imaging 20 280-8 (Pubitemid 32536137)
10. Han G, Liang Z and You J 1999 A fast ray-tracing technique for TCT and ECT studies Proc. IEEE Nucl. Sci. Symp. and Med. Imag. Conf. pp 1515-8
11. Han L, Rogers W L, Huh S S and Clinthorne N 2008 Statistical performance evaluation and comparison of a Compton medical imaging system and a collimated Anger camera for higher energy photon imaging Phys. Med. Biol. 53 7029-45
12. Hebert T, Leahy R and Singh M 1990 Three-dimensional maximum-likelihood reconstruction for an electronically collimated single-photon-emission imaging system J. Opt. Soc. Am. A 7 1305-13
13. Hirasawa M and Tomitani T 2003 An analytical image reconstruction algorithm to compensate for scattering angle broadening in Compton cameras Phys. Med. Biol. 48 1009-26 (Pubitemid 36553319)
14. Hsiao I T, Rangarajan A and Gindi G 2002a A provably convergent OS-EM like reconstruction algorithm for emission tomography Proc. SPIE 4684 10-9 (Pubitemid 35237240)
15. Hsiao I T, Rangarajan A and Gindi G 2002b A new convergent MAP reconstruction algorithm for emission tomography using ordered subsets and separable surrogates Conf. Rec. IEEE Int. Symp. Biomed. Imaging pp 409-12
16. Hsiao I T, Rangarajan A, Khurd P and Gindi G 2004 An accelerated convergent ordered subsets algorithm for emission tomography Phys. Med. Biol. 49 2145-56 (Pubitemid 38867892)
17. Hudson H M and Larkin R S 1994 Accelerated image reconstruction using ordered subsets of projection data IEEE Trans. Med. Imaging 13 601-9
18. Keck B, Hofmann H, Scherl H, Kowarschik M and Hornegger J 2009 GPU-accelerated SART reconstruction using the CUDA programming environment Proc. SPIE 7258 72582B
19. Kelley C T 1999 Iterative Methods for Optimization (Philadelphia, PA: Society for Industrial and Applied Mathematics)
20. Khurd P, Hsiao I T, Rangarajan A and Gindi G 2004 A globally convergent regularized ordered-subset EM algorithm for list-mode reconstruction IEEE Trans. Nucl. Sci. 51 719-25
21. Kim S M, Lee J S, Lee C S, Kim C H, Lee M C, Lee D S and Lee S-J 2010a Fully three-dimensional OSEM-based image reconstruction for Compton imaging using optimized ordering schemes Phys. Med. Biol. 55 5007-27
22. Kim S M, Lee J S, Lee M N, Lee J H, Lee C S, Kim C H, Lee D S and Lee S-J 2007 Two approaches to implementing projector-backprojector pairs for 3D reconstruction from Compton scattered data Nucl. Instrum. Methods Phys. Res. A 571 255-8 (Pubitemid 46136608)
23. Kim S M, Lee J S, Park M J, Seo H, Kim C H, Lee C S, Lee D S and Lee S-J 2010b Study on listmode OSEM reconstruction including image-space resolution recovery techniques for Compton camera Conf. Rec. IEEE Int. Symp. Biomed. Imaging pp 796-9
24. Kirk D B and Hwu W M 2010 Programming Massively Parallel Processors: A hands-on Approach (Burlington, MA: Morgan Kaufmann Publishers)
25. Klein O and Nishina T 1929 ber die streuung von strahlung durch freie elektronen nach der neuen relativistischen quantendynamik von Dirac Z. F. Phys. 52 853-68
26. Kole J S and Beekman F J 2006 Evaluation of accelerated iterative x-ray CT image reconstruction using floating point graphics hardware Phys. Med. Biol. 51 875-89
27. Lee S-J 2000 Performance comparison of convex-nonquadratic priors for Bayesian tomographic reconstruction J. Electron. Imaging 9 242-50
28. Lee S-J, Lee M N, Nguyen V-G, Kim S M and Lee J S 2008 Three-dimensional edge-preserving regularization for Compton camera reconstruction Proc. IEEE Nucl. Sci. Symp. and Med. Imag. Conf. pp 4223-8
29. Lee S H, Seo H, Park J H, Park S H, Lee J S, Lee J H, Lee C S and Kim C H 2009 CIS: A GUI-based software system for Monte Carlo simulation of Compton camera Nucl. Tech. 168 55-60
30. Maxim V, Frandes M and Prost R 2009 Analytical inversion of the Compton transform using the full set of available projections Inverse Probl. 25 095001
31. Mueller K and Yagel R 2000 Rapid 3D cone beam reconstruction with the simultaneous algebraic reconstruction technique (SART) using 2D texture mapping hardware IEEE Trans. Med. Imaging 19 1227-37
32. Nickolls J, Buck I, Garland M and Skadron K 2008 Scalable parallel programming with CUDA ACM Queue 6 40-53
33. NVIDIA 2010 NVIDIA CUDA C programming guide 3.1
34. Owens J D, Houston M, Luebke D, Green S, Stone J E and Phillips J C 2008 GPU computing Proc. IEEE 96 879-99
35. Parra L C 2000 Reconstruction of cone-beam projections from Compton scattered data IEEE Trans. Nucl. Sci. 47 1543-50
36. Pratx G, Chinn G, Olcott P D and Levin C S 2009 Fast, accurate and shift-varying line projections for iterative reconstruction using the GPU IEEE Trans. Med. Imaging 28 435-45
37. Qi J and Leahy R M 2006 Iterative reconstruction techniques in emission computed tomography Phys. Med. Biol. 51 R541-78
38. Rangarajan A, Khurd P, Hsiao I T and Gindi G 2003 Convergence proofs for the COSEM-ML and COSEM-MAP algorithms Technical Report MIPL-03-1 Medical Image Processing Lab, Department of Radiology, SUNY Stony Brook http://www.mil.sunysb. edu/mipl/publications.html
39. Siddon R L 1985 Fast calculation of the exact radiological path for a three-dimensional CT array Med. Phys. 12 252-5 (Pubitemid 15089015)
40. Smith B 2005 Reconstruction methods and completeness conditions for two Compton data models J. Opt. Soc. Am. A 22 445-59 (Pubitemid 40384144)
41. Tomitani T and Hirasawa M 2002 Image reconstruction from limited angle Compton camera data Phys. Med. Biol. 47 2129-45 (Pubitemid 34727498)
42. Weinberg S 1995 The Quantum Theory of Fields, Volume 1: Foundations (Cambridge: Cambridge University Press)
43. Wilderman S J, Fessler J A, Clinthorne N H and Rogers W L 2001 Improved modeling of system response in list mode EM reconstruction of Compton scatter camera images IEEE Trans. Nucl. Sci. 48 111-6 (Pubitemid 32325610)
44. Xu D and He Z 2006 Filtered back-projection in 4π Compton imaging with a single 3D position sensitive CdZnTe detector IEEE Trans. Nucl. Sci. 53 2787-95 (Pubitemid 44637028)
45. Xu F and Mueller K 2005 Accelerating popular tomographic reconstruction algorithms on commodity PC graphics hardware IEEE Trans. Nucl. Sci. 52 654-63 (Pubitemid 41172556)