Parallel magnetic resonance imaging reconstruction algorithm by 3-dimension directional Haar tight framelet regularization

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review

5 Scopus Citations
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Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Title of host publicationWavelets and Sparsity XVIII
EditorsDimitri Van De Ville, Manos Papadakis, Yue M. Lu
PublisherSPIE
ISBN (electronic)9781510629707
ISBN (print)9781510629691
Publication statusPublished - Aug 2019

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume11138
ISSN (Print)0277-786X
ISSN (electronic)1996-756X

Conference

TitleConference on Wavelets and Sparsity XVIII
PlaceUnited States
CitySan Diego
Period13 - 15 August 2019

Abstract

In this paper, a 3-dimension directional Haar tight framelet (3DHF) is used to detect the related features between coil images in parallel magnetic resonance imaging (pMRI). Such a Haar tight framelet has an extremely simple geometric structure in the sense that all the high-pass filters in its underlying filter bank have only two nonzero coefficients with opposite signs. A pMRI optimization model, which we coined 3DHF-SPIRiT, by regularizing the 3DHF features on the 3-D coil image data is proposed to reduce the aliasing artifacts caused by the downsampling operation in the k-space (Fourier) domain, which can be solved by alternating direction method of multipliers (ADMM) scheme. Numerical experiments are provided to demonstrate the superiority and efficiency of our 3DHF-SPIRiT model.

Research Area(s)

  • 3-D regularization, ADMM, directional Haar tight framelets, GRAPPA, pMRI, SENSE, SPIRiT

Citation Format(s)

Parallel magnetic resonance imaging reconstruction algorithm by 3-dimension directional Haar tight framelet regularization. / Li, Yan-Ran; Zhuang, Xiaosheng.
Wavelets and Sparsity XVIII. ed. / Dimitri Van De Ville; Manos Papadakis; Yue M. Lu. SPIE, 2019. 111381C (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11138).

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review