Compressed magnetic resonance imaging based on wavelet sparsity and nonlocal total variation

Proceedings - International Symposium on Biomedical Imaging

Volumn , Issue , 2012, Pages 968-971

  Huang, Junzhou ^a   Yang, Fei ^b  

^a University of Texas at Arlington   (United States)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

Compressive Sensing; MRI; Nonlocal Total Variation; Wavelet Sparsity

Indexed keywords

COMPRESSIVE SENSING; DATA FITTINGS; ITERATIVE FRAMEWORK; LEAST SQUARE; LINEAR COMBINATIONS; MINIMIZATION PROBLEMS; MR IMAGES; NONLOCAL; RECONSTRUCTED IMAGE; RECONSTRUCTION PROBLEMS; SPARSITY REGULARIZATIONS; SUB-PROBLEMS; THREE-TERM; TOTAL VARIATION; WAVELET SPARSITY; WEIGHTED AVERAGES;

IMAGE RECONSTRUCTION; MAGNETIC RESONANCE IMAGING; MEDICAL IMAGING;

ALGORITHMS;

EID: 84864859093     PISSN: 19457928     EISSN: 19458452     Source Type: Conference Proceeding    
DOI: 10.1109/ISBI.2012.6235718     Document Type: Conference Paper

References (16)

1. D. Donoho, "Compressed sensing," IEEE Transactions on Information Theory, vol. 52, no. 4, pp. 1289-1306, 2006.
2. M. Lustig, D. Donoho, and J. Pauly, "Sparse MRI: The application of compressed sensing for rapid MR imaging," Magnetic Resonance in Medicine, vol. 58, pp. 1182-1195, 2007.
3. L. He, T.-C. Chang, S. Osher, T. Fang, and P. Speier, "MR image reconstruction by using the iterative refinement method and nonlinear inverse scale space methods," Tech. Rep., UCLA CAM 06-35, 2006.
4. S. Ma,W. Yin, Y. Zhang, and A. Chakraborty, "An efficient algorithm for compressed MR imaging using total variation and wavelets," in Proceedings of CVPR, 2008.
5. J. Yang, Y. Zhang, and W. Yin, "A fast alternating direction method for TVL1-L2 signal reconstruction from partial fourier data," IEEE Journal of Selected Topics in Signal Processing, Special Issue on Compressive Sensing, vol. 4, no. 2, 2010.
6. J. Huang, S. Zhang, and D. Metaxas, "Efficient MR image reconstruction for compressed MR imaging," in Proceedings of MICCAI, 2010.
7. J. Huang, S. Zhang, and D. Metaxas, "Efficient MR image reconstruction for compressed MR imaging," Medical Image Analysis, vol. 15, pp. 670-679, 2011.
8. X. Zhang, M. Burger, X. Bresson X, and S. Osher, "Bregmanized nonlocal regularization for deconvolution and sparse reconstruction," SIAM Journal of Image Science, vol. 3, pp. 253-276, 2010.
9. G. Peyre, S. Bougleux, and L. Cohen, "Non-local regularization of inverse problems," in Proceedings of ECCV, 2008.
10. M. Mignotte, "A non-local regularization strategy for image deconvolution," Pattern Recognition Letter, vol. 29, pp. 2206-2212, 2008.
11. A. Elmoataz, O. Lezoray, and S. Bougleux, "Nonlocal discrete regularization on weighted graphs: a framework for image and manifold processing," IEEE Transaction on Image Processing, vol. 17, pp. 1047-1060, 2008.
12. Y. Lou, X. Zhang, S. Osher, and A. Bertozzi, "Image recovery via nonlocal operators," Journal of Scientific Computing, vol. 42, pp. 185-197, 2010.
13. G. Gilboa and S. Osher, "Nonlocal operators with applications to image processing," Multiscale Model Simulation, vol. 7, pp. 1005-1028, 2008.
14. X. Jia, Y. Lou, B. Dong, Z. Tian, and S. Jiang, "4d computed tomography reconstruction from few-projection data via temporal non-local regularization," in Proceedings of MICCAI, 2010.
15. A. Beck and M. Teboulle, "A fast iterative shrinkage-thresholding algorithm for linear inverse problems," SIAM Journal on Imaging Sciences, vol. 2, no. 1, pp. 183-202, 2009.
16. A. Beck and M. Teboulle, "Fast gradient-based algorithms for constrained total variation image denoising and deblurring problems," IEEE Transaction on Image Processing, vol. 18, no. 113, pp. 2419-2434, 2009.