A novel speckle suppression method for medical ultrasound images is present
ed. First, the logarithmic transform of the original image is analyzed into
the multiscale wavelet domain. We show that the subband decompositions of
ultrasound images have significantly non-Gaussian statistics that are best
described by families of heavy-tailed distributions such as the alpha-stabl
e. Then, we design a Bayesian estimator that exploits these statistics. We
use the alpha-stable model to develop a blind noise-removal processor that
performs a nonlinear operation on the data. Finally, we compare our techniq
ue with current state-of-the-art soft and hard thresholding methods applied
on actual ultrasound medical images and we quantify the achieved performan
ce improvement.