Low-rank modeling and its applications in image analysis

X Zhou, C Yang, H Zhao, W Yu - ACM Computing Surveys (CSUR), 2014 - dl.acm.org
Low-rank modeling generally refers to a class of methods that solves problems by
representing variables of interest as low-rank matrices. It has achieved great success in …

Low‐rank plus sparse matrix decomposition for accelerated dynamic MRI with separation of background and dynamic components

R Otazo, E Candes… - Magnetic resonance in …, 2015 - Wiley Online Library
Purpose To apply the low‐rank plus sparse (L+ S) matrix decomposition model to
reconstruct undersampled dynamic MRI as a superposition of background and dynamic …

On the applications of robust PCA in image and video processing

T Bouwmans, S Javed, H Zhang, Z Lin… - Proceedings of the …, 2018 - ieeexplore.ieee.org
Robust principal component analysis (RPCA) via decomposition into low-rank plus sparse
matrices offers a powerful framework for a large variety of applications such as image …

Latent variable graphical model selection via convex optimization

V Chandrasekaran, PA Parrilo… - 2010 48th Annual …, 2010 - ieeexplore.ieee.org
Suppose we have samples of a subset of a collection of random variables. No additional
information is provided about the number of latent variables, nor of the relationship between …

Systematic review on learning-based spectral CT

A Bousse, VSS Kandarpa, S Rit… - … on Radiation and …, 2023 - ieeexplore.ieee.org
Spectral computed tomography (CT) has recently emerged as an advanced version of
medical CT and significantly improves conventional (single-energy) CT. Spectral CT has two …

Image reconstruction from highly undersampled (k, t)-space data with joint partial separability and sparsity constraints

B Zhao, JP Haldar, AG Christodoulou… - IEEE transactions on …, 2012 - ieeexplore.ieee.org
Partial separability (PS) and sparsity have been previously used to enable reconstruction of
dynamic images from undersampled (k, t)-space data. This paper presents a new method to …

Modeling and optimization for big data analytics:(statistical) learning tools for our era of data deluge

K Slavakis, GB Giannakis… - IEEE Signal Processing …, 2014 - ieeexplore.ieee.org
With pervasive sensors continuously collecting and storing massive amounts of information,
there is no doubt this is an era of data deluge. Learning from these large volumes of data is …

Multi-energy CT based on a prior rank, intensity and sparsity model (PRISM)

H Gao, H Yu, S Osher, G Wang - Inverse problems, 2011 - iopscience.iop.org
We propose a compressive sensing approach for multi-energy computed tomography (CT),
namely the prior rank, intensity and sparsity model (PRISM). To further compress the multi …

Deep low-rank plus sparse network for dynamic MR imaging

W Huang, Z Ke, ZX Cui, J Cheng, Z Qiu, S Jia… - Medical Image …, 2021 - Elsevier
In dynamic magnetic resonance (MR) imaging, low-rank plus sparse (L+ S) decomposition,
or robust principal component analysis (PCA), has achieved stunning performance …

MetaInv-Net: Meta inversion network for sparse view CT image reconstruction

H Zhang, B Liu, H Yu, B Dong - IEEE Transactions on Medical …, 2020 - ieeexplore.ieee.org
X-ray Computed Tomography (CT) is widely used in clinical applications such as diagnosis
and image-guided interventions. In this paper, we propose a new deep learning based …