TY - JOUR
T1 - A reconstruction method for gappy and noisy arterial flow data
AU - Yakhot, Alexander
AU - Anor, Tomer
AU - Karniadakis, George Em
N1 - Funding Information:
Manuscript received January 23, 2007; revised May 15, 2007. This work was supported in part by the National Science Foundation under Grant IMAG and Grant CI-TEAM and in part by the United States–Israel Binational Science Foundation under Grant 2001-150. Asterisk indicates corresponding author. *A. Yakhot is with the Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beersheva 84105, Israel (e-mail: [email protected]).
PY - 2007/12/1
Y1 - 2007/12/1
N2 - Proper orthogonal decomposition (POD), Kriging interpolation, and smoothing are applied to reconstruct gappy and noisy data of blood flow in a carotid artery. While we have applied these techniques to clinical data, in this paper in order to rigorously evaluate their effectiveness we rely on data obtained by computational fluid dynamics (CFD). Specifically, gappy data sets are generated by removing nodal values from high-resolution 3-D CFD data (at random or in a fixed area) while noisy data sets are formed by superimposing speckle noise on the CFD results. A combined POD-Kriging procedure is applied to planar data sets mimicking coarse resolution "ultrasound-like" blood flow images. A method for locating the vessel wall boundary and for calculating the wall shear stress (WSS) is also proposed. The results show good agreement with the original CFD data. The combined POD-Kriging method, enhanced by proper smoothing if needed, holds great potential in dealing effectively with gappy and noisy data reconstruction of in vivo velocity measurements based on color Doppler ultrasound (CDUS) imaging or magnetic resonance angiography (MRA).
AB - Proper orthogonal decomposition (POD), Kriging interpolation, and smoothing are applied to reconstruct gappy and noisy data of blood flow in a carotid artery. While we have applied these techniques to clinical data, in this paper in order to rigorously evaluate their effectiveness we rely on data obtained by computational fluid dynamics (CFD). Specifically, gappy data sets are generated by removing nodal values from high-resolution 3-D CFD data (at random or in a fixed area) while noisy data sets are formed by superimposing speckle noise on the CFD results. A combined POD-Kriging procedure is applied to planar data sets mimicking coarse resolution "ultrasound-like" blood flow images. A method for locating the vessel wall boundary and for calculating the wall shear stress (WSS) is also proposed. The results show good agreement with the original CFD data. The combined POD-Kriging method, enhanced by proper smoothing if needed, holds great potential in dealing effectively with gappy and noisy data reconstruction of in vivo velocity measurements based on color Doppler ultrasound (CDUS) imaging or magnetic resonance angiography (MRA).
KW - Carotid artery
KW - Computational fluid dynamics (CFD)
KW - Kriging interpolation
KW - Proper orthogonal decomposition
UR - http://www.scopus.com/inward/record.url?scp=36549003570&partnerID=8YFLogxK
U2 - 10.1109/TMI.2007.901991
DO - 10.1109/TMI.2007.901991
M3 - Article
AN - SCOPUS:36549003570
SN - 0278-0062
VL - 26
SP - 1681
EP - 1697
JO - IEEE Transactions on Medical Imaging
JF - IEEE Transactions on Medical Imaging
IS - 12
ER -