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Nanoscale chemical imaging with structured X-ray illumination
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 …
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)
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 …
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
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 …
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
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 …
domain multidimensional signals from their few nonuniform (multichannel) measurements …
Towards generalized FRI sampling with an application to source resolution in radioastronomy
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 …
direction-of-arrival problem, or pulses in a time-of-flight measurement. The earliest …
A fast algorithm for convolutional structured low-rank matrix recovery
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 …
traditional image recovery methods such as total variation and wavelet regularization. These …
FRI sampling with arbitrary kernels
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 …
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
Purpose Magnetic resonance imaging (MRI) artifacts are originated from various sources
including instability of an magnetic resonance (MR) system, patient motion, inhomogeneities …
including instability of an magnetic resonance (MR) system, patient motion, inhomogeneities …
Spatially distributed sampling and reconstruction
A spatially distributed network contains a large amount of agents with limited sensing, data
processing, and communication capabilities. Recent technological advances have opened …
processing, and communication capabilities. Recent technological advances have opened …
A generalized structured low-rank matrix completion algorithm for MR image recovery
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 …
become an effective method to restore images. In this paper, we introduce a generalized …