The past decade has seen the rapid growth of model based image reconstruction (MBIR)
algorithms, which are often applications or adaptations of convex optimization algorithms …

In this paper, we consider minimizing the L_1/L_2 term on the gradient for a limited-angle
scanning problem in computed tomography (CT) reconstruction. We design a specific …

Frequency-dependent amplitude absorption and phase velocity dispersion are typically
linked by the causality-imposed Kramers–Kronig relations, which inevitably degrade the …

Inspired by the works of López et al.[21] and the recent paper of Dang et al.[15], we devise a
new inertial relaxation of the CQ algorithm for solving Split Feasibility Problems (SFP) in real …

Phase retrieval plays an important role in vast industrial and scientific applications. We
consider a noisy phase retrieval problem in which the magnitudes of the Fourier transform …

Ptychography has risen as a reference X-ray imaging technique: it achieves resolutions of
one billionth of a meter, macroscopic field of view, or the capability to retrieve chemical or …

The key aim of compressed sensing is to stably recover a K-sparse signals x from a linear
model y= Ax+ v, where v is a noise vector. Minimization of∥ x∥ 1-∥ x∥ 2 is a recently …

In this paper, we study ℓ 1− αℓ 2 (0< α⩽ 1) minimization methods for signal and image
reconstruction with impulsive noise removal. The data fitting term is based on ℓ 1 fidelity …

Color image denoising is frequently encountered in various image processing and computer
vision tasks. One traditional strategy is to convert the RGB image to a less correlated color …

Prestack inversion has become a common approach in reservoir prediction. At present, the
critical issue in the application of seismic inversion is the estimation of elastic parameters in …