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基于模拟退火粒子群算法的MIT图像重建方法
引用本文:杨丹,芦甜,郭文欣,王旭.基于模拟退火粒子群算法的MIT图像重建方法[J].东北大学学报(自然科学版),2021,42(4):531-537.
作者姓名:杨丹  芦甜  郭文欣  王旭
作者单位:(1. 东北大学 信息科学与工程学院, 辽宁 沈阳110819; 2. 东北大学 辽宁省红外光电材料及微纳器件重点实验室, 辽宁 沈阳110819; 3. 东北大学 智能工业数据解析与优化教育部重点实验室, 辽宁 沈阳110819)
基金项目:中央高校基本科研业务费专项资金资助项目;国家自然科学基金资助项目
摘    要:为了改善逆问题病态性又能提高图像重建质量,提出了一种基于模拟退火粒子群算法的MIT图像重建方法.根据Hessian矩阵的维度,构建了一种Tikhonov和NOSER型混合多参数正则化算法.将模拟退火算法和粒子群算法进行组合,以广义交叉准则构建目标函数,进行正则化多参数寻优.结果表明,所提方法不仅有效克服了MIT重建图像数值解的不稳定性,增强了抗噪性能,而且所获得的重建图像的质量优于Tikhonov正则化和混合正则化算法,为MIT技术应用提供了理论参考.

关 键 词:逆问题病态性  图像重建  Hessian矩阵  模拟退火  粒子群算法  
修稿时间:2020-09-11

MIT Image Reconstruction Method Based on Simulated Annealing Particle Swarm Algorithm
YANG Dan,LU Tian,GUO Wen-xin,WANG Xu.MIT Image Reconstruction Method Based on Simulated Annealing Particle Swarm Algorithm[J].Journal of Northeastern University(Natural Science),2021,42(4):531-537.
Authors:YANG Dan  LU Tian  GUO Wen-xin  WANG Xu
Institution:1. School of Information Science & Engineering, Northeastern University, Shenyang 110819, China; 2. Key Laboratory of Infrared Optoelectric Materials and Micro-Nano Devices, Northeastern University, Shenyang 110819, China; 3. Key Laboratory of Ministry of Education on Data Analytics and Optimization for Smart Industry, Northeastern University, Shenyang 110819, China.
Abstract:In order to improve the ill-posed inverse problem and improve the quality of image reconstruction, a MIT image reconstruction method based on simulated annealing and particle swarm optimization was proposed. According to the dimensions of the Hessian matrix, a Tikhonov and NOSER hybrid multi-parameter regularization algorithm was constructed. The simulated annealing algorithm and particle swarm algorithm were combined, the objective function was constructed by the generalized cross criterion, and the regularized multi-parameter optimization was performed.The results show that not only the proposed method effectively overcomes the instability of the numerical solution of the MIT reconstructed image and enhances the anti-noise performance, but also the quality of the obtained reconstructed image is better than that of Tikhonov regularization and hybrid regularization algorithms, which provides a theoretical reference for the application of MIT technology.
Keywords:ill-posed inverse problem  image reconstruction  Hessian matrix  simulated annealing  particle swarm optimization  
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