基于2D-VMD和BD结合的医学图像去噪算法  

Medical Image Denoising Algorithm Based on 2D⁃VMD and BD

作　　者：马元元 崔长彩 马立园 东辉 MA Yuanyuan;CUI Changcai;MA Liyuan;DONG Hui(Global Drug Development Department,Beijing Novartis Pharmaceutical Company Limited,Beijing 100000,China;Institute of Manufacturing Engineering,Huaqiao University,Xiamen 361021,China;School of Mechanical Engineering and Automation,Fuzhou University,Fuzhou 350116,China)

机构地区：[1]北京诺华制药有限公司全球药物研发部,北京100000 [2]华侨大学制造工程研究院,福建厦门361021 [3]福州大学机械工程及自动化学院,福州350116

出　　处：《吉林大学学报（信息科学版）》2024年第1期186-192,共7页Journal of Jilin University（Information Science Edition）

摘　　要：为提高去噪图像质量,提出了一种基于二维变分模态分解算法(2D-VMD:Two Dimensional Variational Mode Decomposition)和巴氏距离(BD:Bhattacharyya Distance)的结合算法用于图像去噪。该算法首先使用2D-VMD算法将图像分解为若干个固有模态函数(IMFs:Intrinsic Mode Functions);然后使用BD测量每个IMF的概率密度函数(PDF:Probability Density Function)与原图像PDF间的几何距离,区分出信号主导IMF和噪声主导IMF;最后将噪声主导IMF经小波阈值去噪后与信号主导IMF重构,得到去噪图像。将算法应用于医学图像去噪,理论分析和仿真结果表明,2D-VMD和BD结合算法与全变分模型(ROF:Rudin Osher Fatemi)算法、中值滤波和小波阈值滤波相比,其在主观和客观评价方面都具有较好的去噪效果,有效地提高了去噪图像质量。In order to improve the quality of denoised images,an algorithm based on 2D⁃VMD(Two Dimensional Variational Mode Decomposition)and BD(Bhattacharyya Distance)is proposed for image denoising.Firstly,the algorithm uses 2D⁃VMD algorithm to decompose the image into several IMFs(Intrinsic Mode Functions),and then BD is used to measure the geometric distance between the PDF(Probability Density Function)of each IMF and the original image to distinguish the signal⁃dominated IMF and the noise⁃dominated IMF.Finally,the denoising noise⁃dominated IMF through wavelet threshold denoising and the signal⁃dominated IMF are reconstructed to obtain the denoised image.The proposed algorithm is applied to medical images.The theoretical analysis and simulation result show that,compared with ROF(Rudin Osher Fatemi)algorithm,median filter and wavelet threshold algorithm,the algorithm of combining 2D⁃VMD and BD has better denoising effect in both subjective and objective evaluation,and it effectively improves the quality of denoised images.

关 键 词：二维变分模态分解 巴氏距离 概率密度函数 医学图像去噪 

分 类 号：TN911.73[电子电信—通信与信息系统]