Computational methods for large-scale inverse problems: a survey on hybrid projection methods

J Chung, S Gazzola - Siam Review, 2024 - SIAM
This paper surveys an important class of methods that combine iterative projection methods
and variational regularization methods for large-scale inverse problems. Iterative methods …

A new alternating minimization algorithm for total variation image reconstruction

Y Wang, J Yang, W Yin, Y Zhang - SIAM Journal on Imaging Sciences, 2008 - SIAM
We propose, analyze, and test an alternating minimization algorithm for recovering images
from blurry and noisy observations with total variation (TV) regularization. This algorithm …

A direct algorithm for 1-D total variation denoising

L Condat - IEEE Signal Processing Letters, 2013 - ieeexplore.ieee.org
A very fast noniterative algorithm is proposed for denoising or smoothing one-dimensional
discrete signals, by solving the total variation regularized least-squares problem or the …

A fast algorithm for edge-preserving variational multichannel image restoration

J Yang, W Yin, Y Zhang, Y Wang - SIAM Journal on Imaging Sciences, 2009 - SIAM
Variational models with \ell_1-norm based regularization, in particular total variation (TV)
and its variants, have long been known to offer superior image restoration quality, but …

Higher degree total variation (HDTV) regularization for image recovery

Y Hu, M Jacob - IEEE Transactions on Image Processing, 2012 - ieeexplore.ieee.org
We introduce novel image regularization penalties to overcome the practical problems
associated with the classical total variation (TV) scheme. Motivated by novel …

Efficient minimization method for a generalized total variation functional

P Rodríguez, B Wohlberg - IEEE Transactions on Image …, 2008 - ieeexplore.ieee.org
Replacing the lscr 2 data fidelity term of the standard total variation (TV) functional with an
lscr 1 data fidelity term has been found to offer a number of theoretical and practical benefits …

Evaluation of radiomic texture feature error due to MRI acquisition and reconstruction: a simulation study utilizing ground truth

F Yang, N Dogan, R Stoyanova, JC Ford - Physica Medica, 2018 - Elsevier
The purpose of this study was to examine the dependence of image texture features on MR
acquisition parameters and reconstruction using a digital MR imaging phantom. MR signal …

A TV forward-looking super-resolution imaging method based on TSVD strategy for scanning radar

Y Zhang, X Tuo, Y Huang, J Yang - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
Because of the poor performance of the conventional total variation (TV) super-resolution
imaging method in low signal-to-noise ratio (SNR) condition, a TV super-resolution imaging …

A balanced combination of Tikhonov and total variation regularizations for reconstruction of piecewise-smooth signals

A Gholami, SM Hosseini - Signal Processing, 2013 - Elsevier
This paper introduces a novel method to combine total variation and ℓ2 regularizations to
reconstruct piecewise smooth signals. The main idea is to consider the signal as a sum of …

An Efficient Alternating Algorithm for the Lₚ-Norm Cross-Gradient Joint Inversion of Gravity and Magnetic Data Using the 2-D Fast Fourier Transform

S Vatankhah, S Liu, RA Renaut, X Hu… - … on Geoscience and …, 2020 - ieeexplore.ieee.org
An efficient algorithm for the-norm joint inversion of gravity and magnetic data using the
cross-gradient constraint is presented. The presented framework incorporates stabilizers …