Signal processing with fractals: a wavelet-based approach
Signal processing with fractals: a wavelet-based approach
Digital Image Restoration
ForWaRD: Fourier-wavelet regularized deconvolution for ill-conditioned systems
IEEE Transactions on Signal Processing
De-noising by soft-thresholding
IEEE Transactions on Information Theory
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Since deconvolution is a recurring theme in a wide variety of signal and image processing applications, many algorithms have been proposed to address this problem. In particular, in ultrasound imaging, deconvolution is often applied as a fundamental step either for contrast enhancement or as preprocessing in segmentation procedures. In this work we present a comparative study between two wavelet-based deconvolution algorithms as tools for processing ultrasound images, one based on a minimization of an error energy term, the other performing a two-step regularization procedure on both the Fourier and Wavelet domain. The comparison is made in terms of Mean Square Error (MSE) and Signal to Noise Ratio (SNR) calculated on synthetic signals. Moreover, we estimate the computational cost and we provide processed B-mode images through which background noise smoothing and edge sharpness enhancement could be qualitatively evaluated.