Abstract
This paper proposes a new blind deconvolution method with additional phase spectral constraints for a blurred image. A degradation of an original image is mathematically modeled by a convolution of an original image and a point-spread function (PSF). The proposed method consists of the following three steps: (i) projection onto a complex set satisfying the phase spectral constraint in a frequency space; (ii) minimization of a cost function preserving the constrained phase spectra; and (iii) projection onto an image space satisfying nonnegative and support constraints. This method restores both the original image and the PSF with high accuracy. The effectiveness of the proposed method is verified by applying it to some blind deconvolution problems for digital images, and the experimental results show that the performance is superior to the conventional blind deconvolution methods.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
D. B. Gennery: J. Opt. Soc. Am. 63 (1973) 1571.
M. Cannon: IEEE Trans. Acoust., Speech, Sig. Proc. 24 (1976) 58.
P. Nisenson and R. Barakat: J. Opt. Soc. Am. A 4 (1991) 2249.
H. C. Andrews and B. R. Hunt: Digital Image Restoration (Prentice Hall, New York, 1997).
W. H. Richardson: J. Opt. Soc. Am. 62 (1972) 55.
L. B. Lucy: Astron. J. 79 (1974) 745.
L. I. Rudin, S. Osher and E. Fatemi: Physica D 60 (1992) 259.
D. Kunder and D. Hatzinakos: IEEE Sig. Proc. Mag. 13 (1996) 43.
D. Kundur: IEEE Trans. Sig. Proc. 46 (1998) 375.
M. Matsuyama, Y. Tanji and M. Tanaka: Proc. IEEE Int. Symp. Circuits and Systems, Geneva, 2000, p. IV-553.
D. C. Ghiglia, L. A. Romero and G. A. Mastin: J. Opt. Soc. Am. A 10 (1993) 1024.
P. Premaratne and M. Premaratne: Proc. Conf. Convergent Technologies Asia Pacific Region, Bangalore, 2003, p. 6.
B. C. McCallum: Opt. Commun. 75 (1990) 101.
G. R. Ayers and J. C. Dainty: Opt. Lett. 16 (1988) 547.
B. L. K. Davey, R. G. Lane and R. H. T. Bates: Opt. Commun. 69 (1988) 353.
R. G. Lane: J. Opt. Soc. Am. A 9 (1992) 1508.
H. Takajo, T. Takahashi and A. Hayashi: Kogaku 31 (2002) 169 [in Japanese].
T. Takahashi and H. Takajo: Proc. 3rd Int. Symp. Signal Processing Information Technology, Darmstadt, 2003, TP4-6.
R. G. Lane and R. H. T. Bates: J. Opt. Soc. Am. A 4 (1987) 180.
H. Takajo and T. Takahashi: Kogaku 22 (1993) 419 [in Japanese].
J. R. Fienup: Appl. Opt. 21 (1982) 2758.
R. G. Lane and R. H. T. Bates: Opt. Commun. 63 (1987) 11.
R. G. Lane: J. Mod. Opt. 38 (1991) 1797.
T. Takahashi and H. Takajo: Kogaku 21 (1992) 485 [in Japanese].
A. Papoulis and S. U. Pillai: in Probability, Random Variables and Stochastic Process, ed. C. F. Shultz and M. L. Flomenhoft (McGraw-Hill Higher Education, New York, 2002) 4th ed., Part II, Chap. 13, p. 592.
M. Sakauchi, Y. Ohsawa, M. Sone and M. Onoe: IETJ Tech. Rep. 8 (1984) 7 [in Japanese].
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Suetake, N., Sakano, M. & Uchino, E. Gradient-Based Blind Deconvolution with Phase Spectral Constraints. OPT REV 13, 417–423 (2006). https://doi.org/10.1007/s10043-006-0417-7
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s10043-006-0417-7