2004
DOI: 10.1109/tmi.2004.825601
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Reconstruction and Quantification of the Carotid Artery Bifurcation From 3-D Ultrasound Images

Abstract: Three-dimensional (3-D) ultrasound is a relatively new technique, which is well suited to imaging superficial blood vessels, and potentially provides a useful, noninvasive method for generating anatomically realistic 3-D models of the peripheral vasculature. Such models are essential for accurate simulation of blood flow using computational fluid dynamics (CFD), but may also be used to quantify atherosclerotic plaque more comprehensively than routine clinical methods. In this paper, we present a spline-based m… Show more

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Cited by 49 publications
(27 citation statements)
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“…Consider the collection of data snapshots, , where is a vector containing the velocity field at time for all , namely the elements of are (2) These snapshots are used to compute the POD basis vectors, which yield a representation of the data that is optimal in the sense that, for any given basis size, the norm of the error is minimized. This is equivalent to solving the eigenvalue problem (3) where the eigenvectors (columns of the matrix A) represent the temporal modes, is a diagonal matrix of the eigenvalues , and C is a correlation matrix formed by computing the inner product between every pair of snapshots and (4) The magnitude of the th eigenvalue represents the relative importance of the th POD basis vector. This importance is commonly quantified by defining the relative energy content for each basis vector as (5) where the term "energy" refers to a measure in the norm.…”
Section: A Proper Orthogonal Decompositionmentioning
confidence: 99%
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“…Consider the collection of data snapshots, , where is a vector containing the velocity field at time for all , namely the elements of are (2) These snapshots are used to compute the POD basis vectors, which yield a representation of the data that is optimal in the sense that, for any given basis size, the norm of the error is minimized. This is equivalent to solving the eigenvalue problem (3) where the eigenvectors (columns of the matrix A) represent the temporal modes, is a diagonal matrix of the eigenvalues , and C is a correlation matrix formed by computing the inner product between every pair of snapshots and (4) The magnitude of the th eigenvalue represents the relative importance of the th POD basis vector. This importance is commonly quantified by defining the relative energy content for each basis vector as (5) where the term "energy" refers to a measure in the norm.…”
Section: A Proper Orthogonal Decompositionmentioning
confidence: 99%
“…3 In particular, MRA images of cross-sectional slices of the left CCA, ICA, and external carotid (ECA) arteries were acquired by a Genesis Signa scanner using a 3-D time-of-flight (TOF) sequence. The distance between the slices was 1.2 mm and a total of 145 images was acquired.…”
Section: Appendix Cfd Simulation Of Blood Flow In the Carotid Arterymentioning
confidence: 99%
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“…With conventional methods of constructing three-dimensional structures of the carotid wall, the examiner has to specify the position of the carotid artery in the ultrasound image manually [3]- [5], [9]- [11], or blood flow information is used to identify its position [12]. When the blood flow information is used to identify the carotid artery in transverse view, the examiner has to carefully place the probe to the body surface from a direction that is slightly inclined from the perpendicular to the carotid artery [13].…”
Section: Introductionmentioning
confidence: 99%
“…The 3D reconstruction of the carotid bifurcation from its inward flow is possible with US [30], but no papers have so far described the use of this technique in conditions different than carotid stenosis, such as bifurcation changes of the caliber and vessel course alterations. The aim of this review was to explore the possibility of visualizing the carotid bifurcation with 3D US reconstructions from the inward flow in several conditions: in normal subjects, in subjects with caliber alterations (carotid bulb ectasia and internal carotid artery caliber narrowing) and vessel course modifications (tortuosities and kinking).…”
Section: Introductionmentioning
confidence: 99%