Nanoscale chemical imaging with structured X-ray illumination

J Li, S Chen, D Ratner, T Blu, P Pianetta… - Proceedings of the …, 2023 - pnas.org
High-resolution imaging with compositional and chemical sensitivity is crucial for a wide
range of scientific and engineering disciplines. Although synchrotron X-ray imaging through …

Acceleration of MR parameter map** using annihilating filter‐based low rank hankel matrix (ALOHA)

D Lee, KH **, EY Kim, SH Park… - Magnetic resonance in …, 2016 - Wiley Online Library
Purpose MR parameter map** is one of clinically valuable MR imaging techniques.
However, increased scan time makes it difficult for routine clinical use. This article aims at …

Off-the-grid recovery of piecewise constant images from few Fourier samples

G Ongie, M Jacob - SIAM Journal on Imaging Sciences, 2016 - SIAM
We introduce a method to recover a continuous domain representation of a piecewise
constant two-dimensional image from few low-pass Fourier samples. Assuming the edge set …

Structured low-rank algorithms: Theory, magnetic resonance applications, and links to machine learning

M Jacob, MP Mani, JC Ye - IEEE Signal Processing Magazine, 2020 - ieeexplore.ieee.org
In this article, we provide a detailed review of recent advances in the recovery of continuous-
domain multidimensional signals from their few nonuniform (multichannel) measurements …

Towards generalized FRI sampling with an application to source resolution in radioastronomy

H Pan, T Blu, M Vetterli - IEEE Transactions on Signal …, 2016 - ieeexplore.ieee.org
It is a classic problem to estimate continuous-time sparse signals, like point sources in a
direction-of-arrival problem, or pulses in a time-of-flight measurement. The earliest …

A fast algorithm for convolutional structured low-rank matrix recovery

G Ongie, M Jacob - IEEE transactions on computational …, 2017 - ieeexplore.ieee.org
Fourier-domain structured low-rank matrix priors are emerging as powerful alternatives to
traditional image recovery methods such as total variation and wavelet regularization. These …

FRI sampling with arbitrary kernels

JA Urigüen, T Blu, PL Dragotti - IEEE Transactions on Signal …, 2013 - ieeexplore.ieee.org
This paper addresses the problem of sampling non-bandlimited signals within the Finite
Rate of Innovation (FRI) setting. We had previously shown that, by using sampling kernels …

MRI artifact correction using sparse+ low‐rank decomposition of annihilating filter‐based hankel matrix

KH **, JY Um, D Lee, J Lee, SH Park… - Magnetic resonance in …, 2017 - Wiley Online Library
Purpose Magnetic resonance imaging (MRI) artifacts are originated from various sources
including instability of an magnetic resonance (MR) system, patient motion, inhomogeneities …

Spatially distributed sampling and reconstruction

C Cheng, Y Jiang, Q Sun - Applied and Computational Harmonic Analysis, 2019 - Elsevier
A spatially distributed network contains a large amount of agents with limited sensing, data
processing, and communication capabilities. Recent technological advances have opened …

A generalized structured low-rank matrix completion algorithm for MR image recovery

Y Hu, X Liu, M Jacob - IEEE transactions on medical imaging, 2018 - ieeexplore.ieee.org
Recent theory of map** an image into a structured low-rank Toeplitz or Hankel matrix has
become an effective method to restore images. In this paper, we introduce a generalized …