3-D flow reconstruction using divergence-free interpolation of multiple 2-D contrast-enhanced ultrasound particle imaging velocimetry measurements

File Description SizeFormat 
FIGURES.zipSupporting information634.27 kBUnknownView/Open
1-s2.0-S0301562918304861-main.pdfIn press article4.8 MBAdobe PDFView/Open
Title: 3-D flow reconstruction using divergence-free interpolation of multiple 2-D contrast-enhanced ultrasound particle imaging velocimetry measurements
Authors: Zhou, X
Papadopoulou, V
Leow, CH
Vincent, P
Tang, M-X
Item Type: Journal Article
Abstract: Quantification of 3-D intravascular flow is valuable for studying arterial wall diseases but currently there is a lack of effective clinical tools for this purpose. Divergence-free interpolation (DFI) using radial basis function (RBF) is an emerging approach for full-field flow reconstruction using experimental sparse flow field samples. Previous DFI reconstructs full-field flow from scattered 3-D velocity input obtained using phase-contrast magnetic resonance imaging with low temporal resolution. In this study, a new DFI algorithm is proposed to reconstruct full-field flow from scattered 2-D in-plane velocity vectors obtained using ultrafast contrast-enhanced ultrasound (>1000 fps) and particle imaging velocimetry. The full 3-D flow field is represented by a sum of weighted divergence-free RBFs in space. Because the acquired velocity vectors are only in 2-D and hence the problem is ill-conditioned, a regularized solution of the RBF weighting is achieved through singular value decomposition (SVD) and the L-curve method. The effectiveness of the algorithm is determined via numerical experiments for Poiseuille flow and helical flow with added noise, and it is found that an accuracy as high as 95.6% can be achieved for Poiseuille flow (with 5% input noise). Experimental feasibility is also determined by reconstructing full-field 3-D flow from experimental 2-D ultrasound image velocimetry measurements in a carotid bifurcation phantom. The method is typically faster for a range of problems compared with computational fluid dynamics, and has been found to be effective for the three flow cases.
Issue Date: 4-Jan-2019
Date of Acceptance: 29-Oct-2018
URI: http://hdl.handle.net/10044/1/65829
DOI: https://dx.doi.org/10.1016/j.ultrasmedbio.2018.10.031
ISSN: 0301-5629
Publisher: Elsevier
Journal / Book Title: Ultrasound in Medicine and Biology
Copyright Statement: © 2018 The Author(s). Published by Elsevier Inc. on behalf of World Federation for Ultrasound in Medicine & Biology. This is an open access article under the CC BY license. (http://creativecommons.org/licenses/by/4.0/)
Sponsor/Funder: British Heart Foundation
Funder's Grant Number: PG/16/95/32350
Keywords: 3-D flow reconstruction
Divergence-free interpolation
Ultrafast Contrast-enhanced ultrasound imaging velocimetry
1103 Clinical Sciences
Publication Status: Published online
Online Publication Date: 2019-01-04
Appears in Collections:Faculty of Engineering

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Creative Commonsx