Image Restoration Method of Synthetic Aperture Optical System Based on Sparse Prior

Algorithm 1 Deblurring Algorithm
Input：Blurred image $G$ ，Initialize $h$ with PSF
for $i = 1$ ：iteration do
$I = G$ ， $ω = 2 λ$
repeat
solve for $p$ using Eq.（18）
$μ = 2 β$
repeat
solve for $g$ using Eq.（17）
solve for latent image $I$ using Eq.（15）
$μ = 2 μ$
until $μ > μ_{m a x}$
$ω = 2 ω$
until $ω > ω_{m a x}$
solve for blur kernel $h$ using Eq.（11）
$β = 0.9 β$ ， $λ = 0.9 λ$
end for
Output：blur kernel $h$ ，result image $I$

Table 1. Table of piston error corresponding to sub hole diameters of different groups

View table

View in Article

Table 1. Table of piston error corresponding to sub hole diameters of different groups

Aperture position	2	3	4	5	6	7	8
Group 1	0.10λ	0.11λ	0.03λ	0.25λ	0.16λ	0.08λ	0.06λ
Group 2	0.18λ	0.27λ	0.02λ	0.02λ	0.19λ	0.23λ	0.13λ
Group 3	0.23λ	0.06λ	0.26λ	0.07λ	0.06λ	0.10λ	0.12λ
Group 4	0.28λ	0.02λ	0.09λ	0.06λ	0.05λ	0.29λ	0.27λ
Group 5	0.06λ	0.20λ	0.11λ	0.19λ	0.01λ	0.21λ	0.17λ

Table 2. Average results of image restoration evaluation indicators for different piston errors（variance in parentheses）

View table

View in Article

Table 2. Average results of image restoration evaluation indicators for different piston errors（variance in parentheses）

	Degraded image	WF method	RL method	Proposed method
	Degraded image	WF method	RL method	1	3	5	8
PSNR/dB	/	19.31（0.03）	17.94（0.07）	16.78（0.11）	22.83（0.06）	23.13（0.02）	23.20（0.02）
SSIM	/	0.70（0.000 3）	0.64（0.000 4）	0.70（0.000 6）	0.75（0.000 7）	0.77（0.000 3）	0.76（0.000 4）
GMG	6.99	14.27（0.407）	18.71（0.387）	19.22（0.339）	19.99（0.254）	20.31（0.106）	20.43（0.101）
Time/s	/	0.006	0.15	1.15	3.39	5.66	9.94

Table 3. Average results of image restoration evaluation indicators in different scenes (variance in parentheses)

View table

View in Article

Table 3. Average results of image restoration evaluation indicators in different scenes (variance in parentheses)

	Degraded image	WF method	RL method	Proposed method
PSNR/dB	/	20.50（5.23）	16.98（3.65）	23.79（1.91）
SSIM	/	0.71（0.003 4）	0.72（0.002 2）	0.80（0.001 8）
GMG	10.29	24.19（21.3）	28.98（18.9）	30.28（17.1）

Table 4. Optical parameters of camera
View table
View in Article
Table 4. Optical parameters of camera
Aperture Focal length Field angle Spectral bandwidth Angular resolution Imaging range Wavefront aberration（RMS）
Parameter 80 mm 641.6 mm 0.47°×0.63° 486~656 nm 686 μrad 100 m-∞ 0.048 6 λ

Table 5. Average results of image restoration evaluation indicators of remote sensing（variance in parentheses）

View table

View in Article

Table 5. Average results of image restoration evaluation indicators of remote sensing（variance in parentheses）

	Degraded image	WF method	RL method	Proposed method
PSNR/dB	/	17.25（2.12）	15.29（2.85）	23.04（2.17）
SSIM	/	0.55（0.009 1）	0.60（0.003 2）	0.65（0.013）
GMG	5.89	18.87（13.54）	35.68（9.8）	24.58（11.3）

Table 6. Results of restoration evaluation indicators of real image
View table
View in Article
Table 6. Results of restoration evaluation indicators of real image
Degraded image WF RL Proposed method
PSNR/dB / 16.19 16.09 24.11
SSIM / 0.84 0.69 0.90
GMG 6.38 13.23 18.11 15.27

Tools

Get Citation

Copy Citation Text

Shuo ZHONG, Bin FAN, Dun LIU, Haibing SU, Hao ZHANG, Hu YANG, Artem NIKONOROV. Image Restoration Method of Synthetic Aperture Optical System Based on Sparse Prior[J]. Acta Photonica Sinica, 2023, 52(4): 0410001

Download Citation

EndNote(RIS)BibTex Plain Text

Set citation alerts for article

Save article for my favorites

Paper Information

Category:

Received: Oct. 20, 2022

Accepted: Dec. 21, 2022

Published Online: Jun. 21, 2023

The Author Email: Bin FAN (fanbin@ioe.ac.cn)

DOI:10.3788/gzxb20235204.0410001

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 0. [in Chinese]

Table 0. [in Chinese]

Table 1. Table of piston error corresponding to sub hole diameters of different groups

Table 1. Table of piston error corresponding to sub hole diameters of different groups

Table 2. Average results of image restoration evaluation indicators for different piston errors（variance in parentheses）

Table 2. Average results of image restoration evaluation indicators for different piston errors（variance in parentheses）

Table 3. Average results of image restoration evaluation indicators in different scenes (variance in parentheses)

Table 3. Average results of image restoration evaluation indicators in different scenes (variance in parentheses)

Table 4. Optical parameters of camera

Table 4. Optical parameters of camera

Table 5. Average results of image restoration evaluation indicators of remote sensing（variance in parentheses）

Table 5. Average results of image restoration evaluation indicators of remote sensing（variance in parentheses）

Table 6. Results of restoration evaluation indicators of real image

Table 6. Results of restoration evaluation indicators of real image