Convergence of the alternating minimization algorithm for blind deconvolution

Linear Algebra and Its Applications

Volumn 316, Issue 1-3, 2000, Pages 259-285

  Chan, Tony F ^a   Wong, C K ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Alternating minimization; Blind deconvolution; Image restoration

Indexed keywords

EID: 0034372766     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(00)00141-5     Document Type: Article

References (15)

1. P. Blomgren, T. Chan, Modular solvers for constrained image restoration problems, UCLA CAM Report 97-52, November 1997.
2. Chan T., Elman H. Fourier analysis of iterative methods for elliptic problems. SIAM Rev. 31:1989;20-49.
3. Chan T., Olkin J. Circulant preconditioners for Toeplitz-block matrices. Numer. Algorithms. 6:1994;89-101.
4. Chan T., Wong C. Total variation blind deconvolution. IEEE Trans. Image Process. 7:1998;370-375.
5. Fish D., Brinicombe A., Pike E. Blind deconvolution by means of the Richardson-Lucy algorithm. J. Opt. Soc. Amer. A. 12(1):1996.
6. D. Kundur, D. Hatzinakos, Blind image deconvolution, IEEE Signal Processing Magazine, May 1996, pp. 43-64.
7. D. Kundur, D. Hatzinakos, Blind image deconvolution revisited, IEEE Signal Processing Magazine, November 1996, pp. 61-63.
8. Lagendijk R.L., Biemond J. Iterative Identification and Restoration of Images. 1991;Kluwer Academic Publishers, Dordrecht.
9. Lagendijk R.L., Biemond J., Boekee D.E. Identification and restoration of noisy blurred images using the expectation-maximization algorithm. IEEE Trans. Acoust. Speech Signal Process. 38(7):1990;1180-1191.
10. M. Ng, R. Plemmons, S. Qiao, Regularization of RIF blind image deconvolution, IEEE Trans. Image Process., June 2000, to appear.
11. R.D. Richtmyer, K.W. Morton, Difference Methods for Initial Value Problems, second ed., Wiley/Interscience, New York, 1967; reprinted, Kreiger, New York,1994.
12. L. Rudin, S. Osher, Total variation based image restoration with free local constraints, in: IEEE International Conference on Image Processing, Austin, TX, 1994, pp. 31-35.
13. Rudin L., Osher S., Fatemi E. Nonlinear total variation based noise removal algorithms. Phys. D. 60:1992;259-268.
14. You Y., Kaveh M. A regularization approach to joint blur identification and image restoration. IEEE Trans. Image Process. 5:1996;416-428.
15. You Y., Kaveh M. Blind image restoration by anisotropic regularization. IEEE Trans. Image Process. 8:1999;396-407.