Abstract

The key to the restoration of rotational motion blurred image is how to restore the image under a low cost and to correct the irreversibility of the degradation function matrix. Based on the special qualities of degradation function matrix and precise deduction in space-domain, we present a new approach using gradient-loading for restoration of rotational blurred image. By easily adding a gradient operator, the irreversibility of the original matrix is corrected and can be applied for inverse filtering then. Gradient-loading is the optimized approach which combines the advantages of both the approaches using constrained least square filtering and traditional diagonal-loading. Compared with the approach using least square filtering, its peak signal-to-noise ratio (PSNR) is improved from 3.18 to 6.46 dB, while the computing time is reduced to 1/2-1/3. Experimental results demonstrate the effectiveness, noise-resistibility, robustness, and low complexity of this approach, which make it more suitable for real-time environment.

© 2008 Chinese Optics Letters

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  12. A. Elnashar, S. M. Elnoubi, and H. A. El-Mikati, IEEE Trans. Antennas Propag. 54, 3647 (2006).

2007 (1)

2006 (1)

A. Elnashar, S. M. Elnoubi, and H. A. El-Mikati, IEEE Trans. Antennas Propag. 54, 3647 (2006).

2004 (2)

J. Zhang, G. Liao, and J. Wang, Acta Electron. Sin. (in Chinese) 32, 2094 (2004).

B. Hu and C. Rao, Acta Opt. Sin. (in Chinese) 24, 275 (2004).

2003 (3)

H. Hong and T. Zhang, Opt. Eng. 42, 3471 (2003).

Z. Jiang, F. Deng, and S. Liu, J. Xidian Univ. (Natural Sci.) (in Chinese) 30, 415 (2003).

X. Mestre and M. A. Lagunas, IEEE Trans. Signal Process. 54, 69 (2003).

1999 (1)

G. Bonmassar and E. L. Schwartz, IEEE Trans. Image Process. 8, 1838 (1999).

1997 (1)

M. R. Banham and A. K. Katsaggelos, IEEE Signal Processing Magazine 14, (2) 24 (1997).

Banham, M. R.

M. R. Banham and A. K. Katsaggelos, IEEE Signal Processing Magazine 14, (2) 24 (1997).

Bonmassar, G.

G. Bonmassar and E. L. Schwartz, IEEE Trans. Image Process. 8, 1838 (1999).

Deng, F.

Z. Jiang, F. Deng, and S. Liu, J. Xidian Univ. (Natural Sci.) (in Chinese) 30, 415 (2003).

El-Mikati, H. A.

A. Elnashar, S. M. Elnoubi, and H. A. El-Mikati, IEEE Trans. Antennas Propag. 54, 3647 (2006).

Elnashar, A.

A. Elnashar, S. M. Elnoubi, and H. A. El-Mikati, IEEE Trans. Antennas Propag. 54, 3647 (2006).

Elnoubi, S. M.

A. Elnashar, S. M. Elnoubi, and H. A. El-Mikati, IEEE Trans. Antennas Propag. 54, 3647 (2006).

Hong, H.

H. Hong and T. Zhang, Opt. Eng. 42, 3471 (2003).

Hu, B.

B. Hu and C. Rao, Acta Opt. Sin. (in Chinese) 24, 275 (2004).

Jiang, Z.

Z. Jiang, F. Deng, and S. Liu, J. Xidian Univ. (Natural Sci.) (in Chinese) 30, 415 (2003).

Katsaggelos, A. K.

M. R. Banham and A. K. Katsaggelos, IEEE Signal Processing Magazine 14, (2) 24 (1997).

Lagunas, M. A.

X. Mestre and M. A. Lagunas, IEEE Trans. Signal Process. 54, 69 (2003).

Li, Q.

Liao, G.

J. Zhang, G. Liao, and J. Wang, Acta Electron. Sin. (in Chinese) 32, 2094 (2004).

Liao, S.

Liu, S.

Z. Jiang, F. Deng, and S. Liu, J. Xidian Univ. (Natural Sci.) (in Chinese) 30, 415 (2003).

Mestre, X.

X. Mestre and M. A. Lagunas, IEEE Trans. Signal Process. 54, 69 (2003).

Rao, C.

B. Hu and C. Rao, Acta Opt. Sin. (in Chinese) 24, 275 (2004).

Schwartz, E. L.

G. Bonmassar and E. L. Schwartz, IEEE Trans. Image Process. 8, 1838 (1999).

Shen, M.

Wang, J.

J. Zhang, G. Liao, and J. Wang, Acta Electron. Sin. (in Chinese) 32, 2094 (2004).

Wei, H.

Zhang, J.

J. Zhang, G. Liao, and J. Wang, Acta Electron. Sin. (in Chinese) 32, 2094 (2004).

Zhang, T.

H. Hong and T. Zhang, Opt. Eng. 42, 3471 (2003).

Acta Electron. Sin. (in Chinese) (1)

J. Zhang, G. Liao, and J. Wang, Acta Electron. Sin. (in Chinese) 32, 2094 (2004).

Acta Opt. Sin. (in Chinese) (1)

B. Hu and C. Rao, Acta Opt. Sin. (in Chinese) 24, 275 (2004).

Chin. Opt. Lett. (1)

IEEE Signal Processing Magazine (1)

M. R. Banham and A. K. Katsaggelos, IEEE Signal Processing Magazine 14, (2) 24 (1997).

IEEE Trans. Antennas Propag. (1)

A. Elnashar, S. M. Elnoubi, and H. A. El-Mikati, IEEE Trans. Antennas Propag. 54, 3647 (2006).

IEEE Trans. Image Process. (1)

G. Bonmassar and E. L. Schwartz, IEEE Trans. Image Process. 8, 1838 (1999).

IEEE Trans. Signal Process. (1)

X. Mestre and M. A. Lagunas, IEEE Trans. Signal Process. 54, 69 (2003).

J. Xidian Univ. (Natural Sci.) (in Chinese) (1)

Z. Jiang, F. Deng, and S. Liu, J. Xidian Univ. (Natural Sci.) (in Chinese) 30, 415 (2003).

Opt. Eng. (1)

H. Hong and T. Zhang, Opt. Eng. 42, 3471 (2003).

Other (3)

P. Davis, Circular Matrices (John Wiley, New York, 1979).

H. C. Andrews and B. R. Hunt, Digital Image Restoration (Prentice Hall, Englewood Cliffs, 1977) pp.76-79.

R. C. Ganzalez and R. E. Woods, Digital Image Processing (2nd edn.) (Publishing House of Electronics Industry, Beijing, 2002).

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