基于改进量子算法的模糊图像恢复研究  

Fuzzy Image Restoration Based on Improved Quantum Algorithm

作　　者：豆成杰[1] DOU Cheng-jie(Yongcheng Vocational College,Yongcheng 476600,Henn,China)

机构地区：[1]永城职业学院,河南永城476600

出　　处：《量子光学学报》2021年第1期34-44,共11页Journal of Quantum Optics

基　　金：河南省教育厅鉴定成果(豫教[2016]10849号)。

摘　　要：为了提高模糊图像恢复质量,提出量子环型对称算法。首先建立量子环型对称模型,同环上非同圆上的量子信息交流通过虚拟连接实现,同圆上有其他量子与非同圆上的量子信息交流可借用原先建立的虚拟连接实现;接着自检过程实现量子纠错;然后基于梯度范数对原始图像估计,通过辅助变量对模糊核函数最小化求解,超拉普拉斯先验来恢复清晰图像;最后给出了算法实现流程。实验仿真显示本文算法峰值信噪比相比IF、WF、GS、TVGS、CM、HLD分别提高了35.47%、42.58%、28.69%、23.39%、21.05%、14.28%,背景控制因子相比IF、WF、GS、TVGS、CM、HLD分别提高了17.61%、22.41%、12.77%、8.48%、6.76%、6.17%,信息熵相比IF、WF、GS、TVGS、CM、HLD分别提高了35.19%、42.27%、27.46%、19.15%、11.35%、6.31%,平均梯度相比IF、WF、GS、TVGS、CM、HLD分别提高了58.23%、69.79%、47.33%、36.73%、27.55%、11.85%,优于其他算法,为模糊图像恢复提供了新的思路与方法。In order to improve the quality of fuzzy image reconstruction, improved quantum algorithm was proposed. Firstly,quantum information communication on different circles in the same ring was realized by virtual connection, which quantum information communication on different circles and other quantum information on the same ring was realized by using the virtual connection established previously. Secondly, self-checking process was achieved via quantum error correction. Thirdly,original image was estimated based on gradient norm;fuzzy kernel function was minimized based on auxiliary variable, Chau Laplace prior was used to restore image. Finally, the process was displayed elaborately. The simulation results show that peak signal noise ratio of the improved quantum algorithm was improved 35.47%、42.58%、28.69%、23.39%、21.05%、14.28% comparing with IF、WF、GS、TVGS、CM、HLD, background suppress factor was improved 17.61%、22.41%、12.77%、8.48%、6.76%、6.17% comparing with IF、WF、GS、TVGS、CM、HLD, information entropy was improved35.19%、42.27%、27.46%、19.15%、11.35%、6.31% comparing with IF、WF、GS、TVGS、CM、HLD, and average gradient was improved 58.23%、69.79%、47.33%、36.73%、27.55%、11.85% comparing with IF、WF、GS、TVGS、CM、HLD. It is better than other algorithms, while provides a new idea and method for fuzzy image restoration.

关 键 词：量子算法 环型对称 模糊核 图像恢复 

分 类 号：O413[理学—理论物理]