An exponential threshold function wavelet denoising method based on Gaussian distribution

In order to improve image denoising effect, an exponential threshold function de-noising method is proposed, which can overcome the continuity problem of the hard-threshold function, and eliminate the constant deviation problem of the soft threshold function by constructing a new threshold function with arbitrary derivable. Experimental results showed that the new threshold function could obtain higher PSNR(Peak Signal to Noise Ratio) in image de-nosing. A better de-noising effect could have been obtained compared with the hard-threshold function, the soft threshold function, the semi-soft threshold function, the cubic polynomial interpolation semi-soft threshold function, the asymptotic semi-soft threshold function, 2012threshold function, 2013threshold function and so on.