基于改进的Bingham模型的图像去噪算法
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摘要
磁流变阻尼器力学模型是磁流变阻尼器结构控制的基础。针对Bingham磁流变阻尼器力学模型,对剪切应变率作分数阶微分处理,提出一种分数阶Bingham磁流变阻尼器力学模型,并将此模型引入到图像去噪,推导出一种分数阶Bingham图像去噪模型,且定义一种分数阶边缘检测算子和数值解法,最后用于合成图像与Lena图像去噪。MATLAB实验结果表明,算法既能保持图像目标边缘,又能实现图像去噪。
Mechanical model of magnetorheological( MR) fluid dampers is the basis of structure control of MR fluid dampers. For the Bingham mechanical model of MR fluid dampers, the shear strain rate is processed by fractional differential, a fractional order Bingham mechanical model of MR fluid dampers is proposed and used for image denoising, and a fractional order Bingham image denosing model is derived with definitions of fractional order edge detection operator and numerical implementation. Finally, the al-gorithm is used to denoise the synthetic image and the Lena image. MATLAB experimental results show that the algorithm can re-move noise and preserve edges of object simultaneously.
Mechanical model of magnetorheological( MR) fluid dampers is the basis of structure control of MR fluid dampers. For the Bingham mechanical model of MR fluid dampers, the shear strain rate is processed by fractional differential, a fractional order Bingham mechanical model of MR fluid dampers is proposed and used for image denoising, and a fractional order Bingham image denosing model is derived with definitions of fractional order edge detection operator and numerical implementation. Finally, the al-gorithm is used to denoise the synthetic image and the Lena image. MATLAB experimental results show that the algorithm can re-move noise and preserve edges of object simultaneously.
引文
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[2]WANG D H,LIAO W H.Magnetorheological fluid dampers:a review of parametric modelling[J].Smart Materials and Structures,2011,20(2):3001.
[3]朱莉.增益映射耦合局部正则化的图像重构算法[J].电子技术应用,2016,42(3):127-131.
[4]CARLSON J D,JOLLY M R.MR fluid,foam and elas tomer devices[J].Mechatronics,2000,10(5):55-69.
[5]WANG X,GORDANINEJAD F.Flow analysis of fieldcontrollable,electro and magneto-rheological fluids using Herschel-Bulkley model[J].Journal of Intelligent Material Systems&Structures,1999,10(8):601-608.
[6]陈文,孙洪广,李西成,等.力学与工程问题的分数阶导数建模[M].北京:科学出版社,2010.
[7]CHAN T F,Shen Jianghong.Image proecssing and analysis varitional,PDE,wavelet and stochastic methods[M].Society for Industrial and Applied Mathematics,2005.
[8]宋锦萍,陈花竹,台雪成.一种PDE图像分解去噪模型及算法[J].中国图象图形学报,2009,14(8):1547-1552.
[9]黄果,许黎,蒲亦非.分数阶微积分在图像处理中的研究综述[J].计算机应用研究,2012,29(2):414-420.
[10]Pu Yifei,Zhou Jiliu,Yuan Xiao.Fractional differential mask:a fractional differential-based approach for multiscale texture enhancement[J].IEEE Transctions on Image Processing,2010,19(2):491-511.
[11]杨柱中,周激流,黄梅,等.基于分数阶微分的边缘检测[J].四川大学学报(工程科学版),2008,40(1):152-157.
[12]GONZALEZ R C,WOODS R E.Digital image processing(2nd ed)[M].Upper Saddle River:Prentice Hall,2001.
[13]WANG Z.BOVIK A,SHEIKH H,et al.Image quality assessment:from error visibility to structural simiilarity[J].IEEE Transctions on Image Processing,2004,13(4):600-612.