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提出一种新自适应去噪函数。与经典的硬阈值函数与软阈值函数相比,此函数具有明显优点。首先,此函数表达式简单易于计算,连续并有无穷阶导数,便于进行各种数学处理;其次,本文证明了新函数具有收敛性、连续可导性及自适应性,为信号的自适应去噪提供了新的方法。仿真结果表明新函数不仅能有效去除噪声,而且比两种经典的阈值函数有更高的信噪比和更好的视觉效果,去噪后图像相对硬阈值函数去噪图像较光滑,相对软阈值函数去噪图像则更多地保留了图像边缘等局部特征,同时其均方误差最小,优于经典的两种阈值函数。 更多还原

【Abstract】 In this paper we introduce a new function for image denoising.The new function is simple and continuous.It obtains some advantages from both: the hard-thresholding function and the soft-thresholding function.It overcomes the shortcoming that there is an invariable dispersion between the estimated wavelet coefficients and decomposed wavelet coefficients of the soft-thresholding method.At the same time,this function overcomes the shortcoming of the hard-thresholding method with discontinuous funct...