Gibbs ringing in diffusion MRI

J Veraart, E Fieremans, IO Jelescu… - Magnetic resonance …, 2016 - Wiley Online Library
Purpose To study and reduce the effect of Gibbs ringing artifact on computed diffusion
parameters. Methods We reduce the ringing by extrapolating the k‐space of each diffusion …

A primal–dual hybrid gradient method for nonlinear operators with applications to MRI

T Valkonen - Inverse Problems, 2014 - iopscience.iop.org
We study the solution of minimax problems min x max y G (x)+< K (x), y>− F*(y) in finite-
dimensional Hilbert spaces. The functionals G and F* we assume to be convex, but the …

Generalized total variation-based MRI Rician denoising model with spatially adaptive regularization parameters

RW Liu, L Shi, W Huang, J Xu, SCH Yu… - Magnetic resonance …, 2014 - Elsevier
Magnetic resonance imaging (MRI) is an outstanding medical imaging modality but the
quality often suffers from noise pollution during image acquisition and transmission. The …

Efficient boosted DC algorithm for nonconvex image restoration with rician noise

T Wu, X Gu, Z Li, Z Li, J Niu, T Zeng - SIAM Journal on Imaging Sciences, 2022 - SIAM
Image deblurring under Rician noise has attracted considerable attention in imaging
science. Frequently appearing in medical imaging, Rician noise leads to an interesting …

A two‐step optimization approach for nonlocal total variation‐based Rician noise reduction in magnetic resonance images

RW Liu, L Shi, SCH Yu, D Wang - Medical Physics, 2015 - Wiley Online Library
Purpose: Magnetic resonance imaging (MRI) often suffers from apparent noise during image
acquisition and transmission. The degraded data can easily result in nonrobust …

Rician denoising and deblurring using sparse representation prior and nonconvex total variation

M Kang, M Jung, M Kang - Journal of Visual Communication and Image …, 2018 - Elsevier
We propose a sparse representation based model to restore an image corrupted by blurring
and Rician noise. Our model is composed of a nonconvex data-fidelity term and two …

Bilevel imaging learning problems as mathematical programs with complementarity constraints: Reformulation and theory

JC De los Reyes - SIAM Journal on Imaging Sciences, 2023 - SIAM
We investigate a family of bilevel imaging learning problems where the lower-level instance
corresponds to a convex variational model involving first-and second-order nonsmooth …

Primal-dual block-proximal splitting for a class of non-convex problems

S Mazurenko, J Jauhiainen, T Valkonen - arXiv preprint arXiv:1911.06284, 2019 - arxiv.org
We develop block structure adapted primal-dual algorithms for non-convex non-smooth
optimisation problems whose objectives can be written as compositions $ G (x)+ F (K (x)) …

Discrete total variation-based non-local means filter for denoising magnetic resonance images

N Joshi, S Jain, A Agarwal - Journal of Information Technology …, 2020 - igi-global.com
Magnetic resonance (MR) images suffer from noise introduced by various sources. Due to
this noise, diagnosis remains inaccurate. Thus, removal of noise becomes a very important …

[PDF][PDF] Bilevel Imaging Learning Problems as Mathematical Programs with Complementarity Constraints

JC De los Reyes, D Villacís - arXiv preprint arXiv:2110.02273, 2021 - researchgate.net
We investigate a family of bilevel imaging learning problems where the lower-level instance
corresponds to a convex variational model involving first-and second-order nonsmooth …