GENERAL |
|
|
|
|
Point Spread Function Estimation for a Turbulence-Degenerated Image Based on Àtrous Wavelet Transform |
CHEN Bo1,2, GENG Ze-Xun2, SHEN Jun1, YANG Yang1 |
1Second Department, Guilin Air Force Academy, Guilin 5410032Institute of Surveying and Mapping, Information Engineering University, Zhengzhou 450052 |
|
Cite this article: |
CHEN Bo, GENG Ze-Xun, SHEN Jun et al 2009 Chin. Phys. Lett. 26 040701 |
|
|
Abstract The observed object images are seriously blurred because of the influence of atmospheric turbulence. The restoration is required for the reconstruction of turbulence degraded images. Point spread function (PSF) estimation, an essential part of image restoration, has no accurate estimation algorithm at present. Based on the àtrous wavelet, we deduce a novel PSF estimation algorithm. First, the àtrous wavelet at varying scales is transformed. Then, on the basis of the relation among the local maxima of the modulus of the wavelet coefficients at different scales, the Lipschitz exponent of the wavelet coefficients is computed, thus the variance of a PSF is estimated. From this estimated variance, one is able to obtain the PSF. Consequently, the object image can be restored. Experimental results show that the proposed method is highly effective with good performance.
|
Keywords:
07.05.Pj
95.75.Mn
42.30.Wb
|
|
Received: 05 December 2008
Published: 25 March 2009
|
|
PACS: |
07.05.Pj
|
(Image processing)
|
|
95.75.Mn
|
(Image processing (including source extraction))
|
|
42.30.Wb
|
(Image reconstruction; tomography)
|
|
|
|
|
[1] Michael C R 1996 Imaging through turbulence (NewYork: CRC Press) p 57 [2] Zou M Y 2001 Deconvolution and Signal Recovery(Beijing: NDIP) p 72 [3] Zhu H, Lu Y, and Wu Q Z 2007 Opt. Lett. 322550 [4] Ward R K, and Saleh B E A 1985 J. Opt. Soc. Am. A 2 1254 [5] Bilgen M and Hung H S 1994 Opt. Engin. 33 2020 [6] Chen S H and Zhu G F 1998 Proc. SPIE 3387 341 [7] Chen B 2008 PhD Dissertation (Zhengzhou: InformationEngineering University) p 84 (in Chinese) [8] Sadot D 1995 Opt. Engin. 34 1799 [9] Mallat S 1998 A Wavelet Tour of Signal Processing(London: Academic) [10] Mallat S and Zhong S F 1992 IEEE Trans. PAMI 14 710 [11] Mallat S and Hwang W H 1992 IEEE Trans. InformationTheory 38 617 [12] Starck J L 2006 Astronomical Image and DataAnalysis (Berlin: Springer) [13] Chen S H. And Zhang P 1994 Proc. SPIE 2241142 [14] Fried D L 1965 J. Opt. Soc. Am. 55 1427 [15] Fried D L 1966 J. Opt. Soc. Am. 56 1372 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|