In order to solve the problem that the reconstructed image based on the total variation compression image reconstruction algorithm has a fictitious boundary and low contrast of the edge information,an augmented Lagrangain bilateral total variation compression reconstruction algorithm based on the total variation is proposed.Based on the idea of total variation regularization,the bilateral filtering technique is introduced and the augmented Lagrangain function operator is added.The minimum value of the Lagrangain function model is solved by the alternating direction method.In the iterative process,the steepest descent method is adopted to solve the gradient,and the algorithm has been optimized to improve the algorithm running speed.The experimental results show that the improved algorithm can reconstruct the original image more accurately.The peak signal-to-noise ratio of the reconstructed image increases by 2dB,the reconstruction error rate decreases by 10% and the structural similarity increases 0.1,and has the better robustness to noise.
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高宇轩,孙华燕,张廷华.增广拉格朗日双边全变分压缩成像重构算法[J].激光与红外,2018,48(10):1307~1313 GAO Yu-xuan, SUN Hua-yan, Zhang Ting-hua. Augmented Lagrangain bilateral total variation compression imaging reconstruction algorithm[J]. LASER & INFRARED,2018,48(10):1307~1313