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Original Article

A new approach to radionuclide imaging using compressed sensing

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Pages 503-508 | Accepted 15 Apr 2012, Published online: 18 Nov 2013

REFERENCES

  • Donoho DL. Compressed sensing. IEEE Trans. Inf. Theory, 2006, 52, 1289–1306.
  • Candès E, Romberg J. Practical signal recovery from random projections. Proc. SPIE, 2004, 5674, 76–86.
  • Candès E, Romberg J, Tao T. Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inf. Theory, 2006, 52, 489–509.
  • Candès E, Wakin MB. Introduction to compressive sampling. IEEE Signal Process. Mag., 2008, 25, 21–30.
  • Wainwright MJ. Sharp thresholds for high-dimensional and noisy recovery of sparsity, Proc. 44th Allerton Conf. on Communication control and computing, Monticello, IL, USA, September 2006, IEEE, pp. 1–19.
  • Donoho DL, Elad M. Maximal sparsity representation via l1 minimization. Proc. Nat. Acad. Sci. USA, 2003, 100, 2197–2202.
  • Kak AC, Slaney M. Principles of Computerized Tomographic Imaging, 1987 (IEEE Press, Piscataway, NJ).
  • Niki N, Mizutani RT, Takahashi Y, Inouye T. A high-speed computerized tomography image reconstruction using direct two-dimensional Fourier transform method. Syst. Comput. Controls, 1983, 14, 56–65.
  • Matej S, Bajla I. A high-speed reconstruction from projections using direct Fourier method with optimized parameters — an experimental analysis. IEEE Trans. Med. Imag., 1990, 9, 421–429.
  • Magnusson M, Danielsson PE, Edholm P. Artefacts and remedies in direct Fourier reconstruction, Proc. 1992 IEEE Nuclear Science Symp./Medical Imaging Conf.: NSS/MIC’92, Orlando, FL, USA, October 1992, Vol. 2, IEEE, pp. 1138–1140.
  • Schomberg H, Timmer J. The gridding method for image reconstruction by Fourier transformation. IEEE Trans. Med. Imaging, 1995, 14, 596–607.
  • Dunne S, Napel S, Rutt B. Fast reprojection of volume data, Proc. 1st Conf. on Visualization in biomedical computing: VBC’90, Atlanta, GA, USA, May 1990, IEEE Publishing, pp. 11–18.
  • Stearns CW, Chesler DA, Brownell GL. Three dimensional image reconstruction in the Fourier domain. IEEE Trans. Nucl. Sci., 1990, 34, 374–378.
  • Matej S, Lewitt RM. 3D-FRP: direct Fourier reconstruction with Fourier reprojection for fully 3D PET. IEEE Trans. Nucl. Sci., 2001, 48, 1378–1385.
  • Matej S, Daube-Witherspoon M, Karp JS. Performance of 3D RAMLA with smooth basis functions on fully 3D PET data, Proc. 6th Int. Meet. on Fully three-dimensional image reconstruction in radiology and nuclear medicine, Pacific Grove, CA, USA, October–November 2001, IEEE, pp. 193–196.
  • Matej S, Fessler JA, Kazantsev IG. Iterative tomographic image reconstruction using Fourier-based forward and back-projectors. IEEE Trans. Med. Imaging, 2004, 23, 401–412.
  • Lustig M, Donoho D, Pauly J. Sparse MRI: the application of compressed sensing for rapid MR imaging. Magn. Reson. Med., 2007, 58, 1182–1195.
  • Donoho D. For most large underdetermined systems of linear equations, the minimal ℓ1 solution is also the sparsest solution. Commun. Pure Appl. Math., 2006, 59, 797–829.
  • Rudin LI, Osher S, Fatemi E. Nonlinear total variation noise removal algorithm. Physica D, 1992, 60, 259–268.
  • Wang Z, Bovik AC. Mean squared error: love it or leave It?. IEEE Signal Process. Mag., 2008, 26, 98–117.
  • Wang Z, Bovik AC, Sheikh HR, Simoncelli EP. Image quality assessment: from error visibility to structural similarity. IEEE Trans. Image Process., 2004, 3, 600–612.
  • Candès E, Romberg J. ℓ1-MAGIC: recovery of sparse signals via convex programming’, Technical report, California Institute of Technology, Pasadena, CA, USA, 2005.

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