基于改进的Bingham模型的图像去噪算法

Image denoising algorithm based on improved Bingham model

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.