Scaled heavy-ball acceleration of the Richardson-Lucy algorithm for 3D microscopy image restoration

IEEE Transactions on Image Processing

Volumn 23, Issue 2, 2014, Pages 848-854

  Wang, Hongbin ^a   Miller, Paul C ^a  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

Author keywords

Deconvolution; Heavy ball acceleration; Poisson noise; Richardson Lucy algorithm

Indexed keywords

CONVERGENCE PERFORMANCE; CONVERGENCE RATES; IMAGE DE CONVOLUTIONS; MATLAB TOOLBOXES; NUMBER OF ITERATIONS; POISSON NOISE; RICHARDSON-LUCY ALGORITHMS; SLOW CONVERGENCES;

ALGORITHMS; DECONVOLUTION; IMAGE RECONSTRUCTION;

OPTIMIZATION;

EID: 84892592727     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2013.2291324     Document Type: Article

References (21)

1. W. H. Richardson. Bayesian-based iterative method of image restoration. J. Opt. Soc. Amer., vol. 62, no. 1, pp. 55-59, 1972
2. L. B. Lucy. An iterative technique for the rectification of observed distributions. Astronomical J., vol. 79, no. 6, pp. 745-754, 1974
3. M. Bertero, P. Boccacci, G. Desidera, and G. Vicidomini. Image deblurring with Poisson data: From cells to galaxies. Inverse Problems, vol. 25, no. 12, pp. 123006-1-123006-3, 2009
4. G. M. P. van Kempen and L. J. van Vliet. Background estimation in non linear image restoration. J. Opt. Soc. Amer., vol. 17, no. 3, pp. 425-433, Mar. 2000
5. T. J. Holmes and Y. H. Liu. Acceleration of maximum-likelihood image restoration for fluorescence microscopy. J. Opt. Soc. Amer., vol. 8, no. 6, pp. 893-907, 1991
6. H. Lantéri, M. Roche, O. Cuevas, and C. Aime. A general method to devise maximum-likelihood signal restoration multiplicative algorithms with nonnegativity constraints. Signal Process., vol. 81, no. 5, pp. 945-974, 2001 (Pubitemid 32427237)
7. D. S. C. Biggs and M. Andrews. Conjugate gradient acceleration of maximum-likelihood image restoration. Electron. Lett., vol. 31, pp. 1985-1986, Jan. 1995
8. D. S. C. Biggs and M. Andrews. Acceleration of iterative image restoration algorithms. Appl. Opt., vol. 36, no. 8, pp. 1766-1775, 1997 (Pubitemid 127651531)
9. S. Bonettini, R. Zanella, and L. Zanni. A scaled gradient projection method for constrained image deblurring. Inverse Problems, vol. 25, no. 1, pp. 015002-1-015002-3, 2009
10. Y. Nesterov. A method of solving a convex programming problem with convergence rate. Soviet Math. Doklady, vol. 27, no. 2, pp. 372-376, 1983
11. J. Bioucas-Das and M. Figueiredo. A new TwIST: Two step iterative shrinkage/thresholding algorithms for image restoration. IEEE Trans. Image Process., vol. 16, no. 12, pp. 2992-3004, Dec. 2007 (Pubitemid 350201232)
12. A. Beck and M. Teboulle. A fast iterative shrinkage thresholding algorithm for linear inverse problems. SIAM J. Imaging Sci., vol. 2, no. 1, pp. 183-202, 2009
13. W. Zuo and Z. Lin. A generalized accelerated proximal gradient approach for total-variation-based image restoration. IEEE Trans. Image Process., vol. 20, no. 10, pp. 2748-2759, Oct. 2011
14. H. Wang and P. C. Miller. Scaled heavy-ball acceleration of the richardson-lucy algorithm. in Proc. 9th IEEE ISBI, May 2012, pp. 1743-1746
15. B. T. Polyak, Introduction to Optimization. New York, NY, USA: Software, Inc., 1987
16. D. P. Bertsekas, Convex Optimization Theory (Convex Optimization Algorithms). Belmont, MA, USA: Athena Scientific, 2009, ch. 6
17. M. A. T. Figueiredo and J. M. Bioucas-Dias. Restoration of Poissonian images using alternating direction optimization. IEEE Trans. Image Process., vol. 19, no. 12, pp. 3133-3145, Dec. 2010
18. F-X. Dupé, J. Fadili, and J-L. Starck. A proximal iteration for deconvolving Poisson images using sparse representations. IEEE Trans. Image Process., vol. 18, no. 2, pp. 310-321, Jan. 2009
19. Z. T. Harmany, R. F. Marcia, and R. M. Willett. This is SPIRALTAP: Sparse Poisson intensity reconstruction algorithms-Theory and practice. IEEE Trans. Image Process., vol. 21, no. 3, pp. 1084-1096, Mar. 2012
20. A. Griffa, N. Garin, and D. Sage. Comparison of deconvolution software in 3D microscopy: A user point of view-Part I and Part II. G.I.T. Imaging Microscopy, vol. 1, pp. 43-45, 2010
21. Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli. Image quality assessment: From error visibility to structural similarity. IEEE Trans. Image Process., vol. 13, no. 4, pp. 600-612, Apr. 2004