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Ultrasound images are very noisy. Along with system noise, a significant noise source is the speckle phenomenon caused by interference in the viewed object. The noise of ultrasound image was always deemed as multiplicative noise, but the present multiplicative noise models are not fitting for it very well, because the noise is more complex than the simple multiplicative one. So we should consider...
Images can be decomposed into structural component and textural component with the variational OSV (Osher-Sole-Vese) model for image decomposition, but the minimization problem must be realized through solving some 4th order partial differential equations (PDE) by means of complex finite difference scheme for Laplacian of curvature which leads to low computational efficiency. The Split Bregman method...
This work deals with image restoration and decomposition, into geometric and texture components, via nonstandard diffusion. A genuine class of convex functionals, for which the corresponding minimization problems have existence and uniqueness solutions, is proposed. Finally, efficient regularization or decomposition algorithms, based on projection methods, are proposed in the case of scalar and vectorial...
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