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Journal ArticleDOI

Image reconstruction of compressed sensing MRI using graph-based redundant wavelet transform.

TLDR
A graph-based redundant wavelet transform is introduced to sparsely represent magnetic resonance images in iterative image reconstructions and outperforms several state-of-the-art reconstruction methods in removing artifacts and achieves fewer reconstruction errors on the tested datasets.
About
This article is published in Medical Image Analysis.The article was published on 2016-01-01. It has received 150 citations till now. The article focuses on the topics: Iterative reconstruction & Wavelet transform.

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Citations
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Journal ArticleDOI

Sparse MRI reconstruction using multi-contrast image guided graph representation

TL;DR: This work proposes a new approach to reconstruct magnetic resonance images by learning the prior knowledge from these multi-contrast images with graph-based wavelet representations and forms the reconstruction as a bi-level optimization problem to allow misalignment between these images.
Journal ArticleDOI

A dual-domain deep lattice network for rapid MRI reconstruction

TL;DR: This work proposes a dual-domain deep lattice network (DD-DLN) for CS-MRI with variable density uniform under-sampling and observes the dual networks have complementary advantages, which motivates their combination via a lattice structure.
Journal ArticleDOI

Region-of-interest undersampled MRI reconstruction: A deep convolutional neural network approach.

TL;DR: A deep neural network architecture for ROI MRI reconstruction called ROIRecNet is proposed to improve reconstruction accuracy of the ROI regions in under-sampled MRI and can significantly improve the reconstruction quality of the region of interest.
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Group sparsity with orthogonal dictionary and nonconvex regularization for exact MRI reconstruction

TL;DR: It is proven that the proposed sparse coding model in the M-GSOD is equivalent to the low-rank model, and the connection between the two independent models is established for the first time.
Journal ArticleDOI

Low-Rank and Sparse Decomposition Model for Accelerating Dynamic MRI Reconstruction

TL;DR: A scalable and fast algorithm based on the inexact augmented Lagrange multipliers (IALM) to carry out the convex optimization of dynamic magnetic resonance imaging (dMRI) from partially sampled k-space data is proposed.
References
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Journal ArticleDOI

Image quality assessment: from error visibility to structural similarity

TL;DR: In this article, a structural similarity index is proposed for image quality assessment based on the degradation of structural information, which can be applied to both subjective ratings and objective methods on a database of images compressed with JPEG and JPEG2000.
Book

Introduction to Algorithms

TL;DR: The updated new edition of the classic Introduction to Algorithms is intended primarily for use in undergraduate or graduate courses in algorithms or data structures and presents a rich variety of algorithms and covers them in considerable depth while making their design and analysis accessible to all levels of readers.
Journal ArticleDOI

$rm K$ -SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation

TL;DR: A novel algorithm for adapting dictionaries in order to achieve sparse signal representations, the K-SVD algorithm, an iterative method that alternates between sparse coding of the examples based on the current dictionary and a process of updating the dictionary atoms to better fit the data.
Journal ArticleDOI

An Iterative Thresholding Algorithm for Linear Inverse Problems with a Sparsity Constraint

TL;DR: It is proved that replacing the usual quadratic regularizing penalties by weighted 𝓁p‐penalized penalties on the coefficients of such expansions, with 1 ≤ p ≤ 2, still regularizes the problem.
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