CUP-VISAR Compressed Image Inversion Algorithm Based on Variable-Accelerated Generalized Alternating Projection

算法1
输入： $y$ ， $A$ ， $η$ ， $τ$ ， $λ$ ， $ε$ 及收敛条件
初始化： $v_{0} = 0$ ， $k = 0$
迭代以下步骤：
1）根据式（12）更新 $x_{k + 0.5}$ ，若 $m a x (y_{k + 1} - A \cdot v_{k + 1}) > T_{V P T}$ ，改为由式（8）更新 $x_{k + 0.5}$ 并调整 $η$ ； 2）根据式（9）更新 $x_{k + 1}$ ； 3）根据式（13）更新 $y_{k + 1}$ ； 4）根据式（11）更新 $v_{k + 1}$ ； 5）检查收敛条件： ${‖y - A \cdot x‖}_{2}^{2} \leq ε$ 或 $k \geq$ 总迭代次数； 6） $k = k + 1$ ，重复步骤1）至5）。

Table 1. Quality parameter retrieved by each algorithm under different noises

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Table 1. Quality parameter retrieved by each algorithm under different noises

σ	PSNR_min /dB			SSIM_min /%
σ	TV-TwIST	TV-GAP	Algorithm 1	TV-TwIST	TV-GAP	Algorithm 1
0	10.98	15.89	24.88	65.50	76.80	89.57
0.01	8.60	13.10	18.40	66.38	70.05	81.53
0.05	7.57	13.05	16.64	63.56	69.09	79.54
0.10	6.79	12.25	15.54	51.13	66.29	76.82
0.50	6.48	11.15	14.39	55.44	59.66	73.22

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Qingxin Huang, Haiyan Li, Huaquan Gan, Kaitao Zheng, Yuanping Yu, Yunbao Huang. CUP-VISAR Compressed Image Inversion Algorithm Based on Variable-Accelerated Generalized Alternating Projection[J]. Acta Optica Sinica, 2023, 43(21): 2111004

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Paper Information

Category: Imaging Systems

Received: Mar. 29, 2023

Accepted: Jun. 26, 2023

Published Online: Nov. 8, 2023

The Author Email: Li Haiyan (cathylhy@gdut.edu.cn)

DOI:10.3788/AOS230726

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology