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http://dx.doi.org/10.9718/JBER.2011.32.1.015

Rebinning-Based Deterministic Image Reconstruction Methods for Compton Camera  

Lee, Mi-No (Department of Electronic Engineering, Paichai University)
Lee, Soo-Jin (Department of Electronic Engineering, Paichai University)
Seo, Hee (Department of Nuclear Engineering. Hanyang University)
Nguyen, Van-Giang (Department of Electronic Engineering, Paichai University)
Publication Information
Journal of Biomedical Engineering Research / v.32, no.1, 2011 , pp. 15-24 More about this Journal
Abstract
While Compton imaging is recognized as a valuable 3-D technique in nuclear medicine, reconstructing an image from Compton scattered data has been of a difficult problem due to its computational complexity. The most complex and time-consuming computation in Compton camera reconstruction is to perform the conical projection and backprojection operations. To alleviate the computational burden imposed by these operations, we investigate a rebinning method which can convert conical projections into parallel projections. The use of parallel projections allows to directly apply the existing deterministic reconstruction methods, which have been useful for conventional emission tomography, to Compton camera reconstruction. To convert conical projections into parallel projections, a cone surface is sampled with a number of lines. Each line is projected onto an imaginary plane that is mostly perpendicular to the line. The projection data rebinned in each imaginary plane can then be treated as the standard parallel projection data. To validate the rebinning method, we tested with the representative deterministic algorithms, such as the filtered backprojection method and the algebraic reconstruction technique. Our experimental results indicate that the rebinning method can be useful when the direct application of existing deterministic methods is needed for Compton camera reconstruction.
Keywords
Compton camera; emission tomography; image reconstruction; rebinning methods; deterministic reconstruction methods; filtered backprojection; algebraic reconstruction technique;
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1 A. Andreyev, A. Sitek, and A. Celler, "Stochastic image reconstruction method for Compton camera," IEEE NSS&MIC Conference Record, pp. 2985-2988, 2009.
2 R. Basko, G. L. Zeng, and G. T. Gullberg, "Application of spherical harmonics to image reconstruction for the Compton camera," Phys. Med. Biol. vol., 43, pp. 887-894, 1998.   DOI   ScienceOn
3 L. C. Parra, "Reconstruction of cone-beam projections from Compton scattered data," IEEE Trans. Nucl. Sci., vol. 47, pp. 1543-1550, 2000.   DOI   ScienceOn
4 M. Singh, "An electronically collimated gamma camera for single photon emission computed tomography: Part1 and 2," Med. Phys., vol. 10, no. 4, pp. 421-427, 1983.   DOI   ScienceOn
5 A. Andreyev, A. Sitek, and A. Celler, "Reconstructed image spatial resolution of multiple coincidences compton imager," IEEE Trans. Nucl. Sci., vol. 57, pp. 151-159, 2010.   DOI
6 T. Hebert, R. Leahy, and M. Singh, "Three-dimensional maximum-likelihood reconstruction for a electronically collimated single-photon-emission imaging system," J. Opt. Soc. Am., A7, pp. 1305-1313, 1990.
7 S. -J. Lee, M. N. Lee, V. -G. Nguyen, S. M. Kim, J. S. Lee, "Three-dimensional edge-preserving regularization for Compton camera reconstruction," IEEE NSS&MIC Conference Record, pp. 4223-4228, 2008.
8 T. Tomitani and M. Hirasawa, "Image reconstruction from limited angle Compton camera data," Phys. Med. Biol., vol. 47, pp. 1009-1026, 2002.
9 A. C. Sauve, A. O. Hero III, W. L. Rogers, S. J. Wilderman, and N. H. Clinthorne, "3D image reconstruction for Compton SPECT camera model," IEEE Trans. Nucl. Sci., vol. 46, pp. 2075-2084, 1999.   DOI   ScienceOn
10 S. M. Kim, J. S. Lee, and S. -J. Lee, "Fully three-dimensional image reconstruction for compton imaging using ordered subsets of conical projection data," IEEE NSS&MIC Conference Record, vol. 4, pp. 3070-3073, 2007.
11 M. N. Lee, S. -J. Lee, and V. -G. Nguyen, "Three-dimensional image reconstruction from Compton scattered data using the row-action maximum likelihood algorithm," J. Biomed. Eng. Res. vol. 30, no. 1, pp. 56-65, 2009.
12 J. Li, J. D. Valentine, J. N. Aarsvold, and M. Khamzin, "A rebinning technique for 3D reconstruction of Compton camera data" IEEE NSS&MIC Conference Record, vol. 4, pp. 1877-1881, 2001.
13 M. Hirasawa and T. Tomitani, "An analytical image reconstruction algorithm to compensate for scattering angle broadening in Compton cameras," Phys. Med. biol., vol. 48, 1009-1026, 2003.   DOI   ScienceOn
14 B. Smith, "Reconstruction methods and completeness conditions for two Compton data models," J. Opt. Soc. Am. A, vol. 22, no. 3, pp. 445-459, 2005.   DOI   ScienceOn
15 D. Xu, and Z. He, "Filtered back-projection in $4\pi$ Compton imaging with a single 3D position sensitive CdZnTe detector," IEEE Trans. Nucl. Sci., vol. 53, no. 5, pp. 2787-2793, 2006.   DOI
16 S. M. Kim, J. S. Lee, M. N. Lee, J. H. Lee, C. S. Lee, C. H. Kim, D. S. Lee, and S. J. Lee, "Two approaches to implementing projector - backprojector pairs for 3D reconstruction from Compton scattered data," Nuclear Instruments & Methods in Physics Research A, 571, pp. 255-258, 2007.   DOI
17 G. T. Herman and L. B. Meyer, "Algebraic reconstruction techniques can be made computationally efficient" IEEE Trans. Med. Imaging, vol. 12, pp. 600-609, 1993.   DOI   ScienceOn