Parallel algorithm and hybrid regularization for dynamic PET reconstruction

IEEE Nuclear Science Symposium Conference Record

Volumn , Issue , 2010, Pages 2423-2427

  Pustelnik, N ^a   Chaux, C ^a   Pesquet, J C ^a   Comtat, C ^b  

^a UNIVERSITÉ PARIS EST   (France)

^b DIF   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BRAIN DATA; DYNAMIC IMAGES; DYNAMIC PET; FLUORODEOXYGLUCOSE; METABOLIC RATES; OPTIMIZATION APPROACH; PET IMAGE RECONSTRUCTION; POISSON NOISE; PROXIMAL METHODS; REGULARIZED EXPECTATION MAXIMIZATIONS; TOTAL VARIATION;

CONVEX OPTIMIZATION; DECONVOLUTION; GAMMA RAYS; GLUCOSE; IMAGE RECONSTRUCTION; MEDICAL IMAGING; NUCLEAR PHYSICS; POSITRON EMISSION TOMOGRAPHY;

ALGORITHMS;

EID: 79960287318     PISSN: 10957863     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/NSSMIC.2010.5874223     Document Type: Conference Paper

References (16)

1. T. E. Nichols, J. Qi, E. Asma, and R. M. Leahy, "Spatiotemporal reconstruction of list-mode PET data," IEEE Trans. Med. Imag., vol. 21, no. 4, pp. 396-404, 2002.
2. M. E. Kamasac, C. A. Bouman, E. D. Morris, and K. Sauer, "Direct reconstruction of kinetic parameter images from dynamic PET data," IEEE Trans. Med. Imag., vol. 24, no. 6, pp. 636-650, 2005.
3. J. Verhaeghe, D. Van De Ville, I. Khalidov, Y. D'Asseler, I. Lemahieu, and M. Unser, "Dynamic PET reconstruction using wavelet regularization with adapted basis functions," IEEE Trans. Med. Imag., vol. 27, no. 7, pp. 943-959, July 2008.
4. J. Zhou, L. Senhadji, J.-L. Coatrieux, and L. Luo, "Iterative PET image reconstruction using translation invariant wavelet transform," IEEE Trans Nucl. Sci., vol. 56, no. 1, pp. 116-128, Feb. 2009.
5. F. C. Sureau, J.-C. Pesquet, C. Chaux, N. Pustelnik, A. J. Reader, C. Comtat, and R. Trebossen, "Temporal wavelet denoising of PET sinograms and images," in Nuclear Science Symposium and Medical Imaging Conference Record, Dresden, Germany, 19-25 Oct. 2008, pp. 4448-4454.
6. I. Daubechies, M. Defrise, and C. De Mol, "An iterative thresholding algorithm for linear inverse problems with a sparsity constraint," Comm. Pure Applied Math., vol. 57, no. 11, pp. 1413-1457, Nov. 2004.
7. C. Chaux, J.-C. Pesquet, and N. Pustelnik, "Nested iterative algorithms for convex constrained image recovery problems," SIAM J. Imag. Sc., vol. 2, no. 2, pp. 730-762, June 2009.
8. N. Pustelnik, C. Chaux, J.-C. Pesquet, F. C. Sureau, E. Dusch, and C. Comtat, "Adapted convex optimization algorithm for wavelet-based dynamic PET reconstruction," in the proceeding of the 10th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicin, Beijing, China, 5-10 Sept. 2009.
9. P. L. Combettes and J.-C. Pesquet, "A proximal decomposition method for solving convex variational inverse problems," Inverse Probl., vol. 24, no. 6, pp. x+27, Dec. 2008.
10. L. Rudin, S. Osher, and E. Fatemi, "Nonlinear total variation based noise removal algorithms," Physica D, vol. 60, no. 1-4, pp. 259-268, Nov. 1992.
11. N. Pustelnik, C. Chaux, and J.-C. Pesquet, "Parallel ProXimal Algorithm for image restoration using hybrid regularization," 2010, submitted.
12. L. M. Bregman, "The method of successive projection for a common point of convex sets," Soviet Math. Dokl., vol. 6, pp. 688-692, 1965.
13. J. J. Moreau, "Proximité et dualité dans un espace hilbertien," Bull. Soc. Math. France, vol. 93, pp. 273-299, 1965.
14. C. Chaux, P. L. Combettes, J.-C. Pesquet, and V. R. Wajs, "A variational formulation for frame-based inverse problems," Inverse Probl., vol. 23, no. 4, pp. 1495-1518, June 2007.
15. I. G. Zubal, C. R. Harrell, E. O. Smith, Z. Rattner, G. Gindi, and P. B. Hoffer, "Computerized three-dimensional segmented human anatomy," Medical Physics, vol. 21, no. 1, pp. 299-302, 1994.
16. A. Cohen, I. Daubechies, and P. Vial, "Wavelets on interval and fast wavelet transforms," Appl. and Comp. Harmonic Analysis, vol. 1, no. 1, pp. 54-81, 1993.