IEEE Transactions on Medical Imaging · 2001 · 585 citations · 29 references
EngineeringBioengineeringBiomedical EngineeringBiomedical ImagingBiomedical Signal ProcessingUltrasonographyDiagnostic UltrasonographyDigital Image ProcessingDigital Signal ProcessingImage ProcessingUltrasonicsUltrasound ImagingHeavy-tailed DistributionsImage Noise ReductionImage ThresholdingNoise RemovalNon-gaussian FilteringSpeckle Noise ReductionSpeckle ReductionWavelet Transform
A novel speckle suppression method for medical ultrasound images is presented. 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-stable. 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 technique with current state-of-the-art soft and hard thresholding methods applied on actual ultrasound medical images and we quantify the achieved performance improvement.
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De-noising by soft-thresholding
David L. Donoho · IEEE Transactions on Information Theory · 1995 · 9.6K citations
Ideal spatial adaptation by wavelet shrinkage
David L. Donoho, Iain M. Johnstone · Biometrika · 1994 · 7.8K citations
Ideal Spatial Adaptation by Wavelet Shrinkage
David L. Donoho, Iain M. Johnstone · Biometrika · 1994 · 2.5K citations