A reconstruction method for gappy and noisy arterial flow data

Alexander Yakhot, Tomer Anor, George Em Karniadakis

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


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).

Original languageEnglish
Pages (from-to)1681-1697
Number of pages17
JournalIEEE Transactions on Medical Imaging
Issue number12
StatePublished - 1 Dec 2007


  • Carotid artery
  • Computational fluid dynamics (CFD)
  • Kriging interpolation
  • Proper orthogonal decomposition

ASJC Scopus subject areas

  • Software
  • Radiological and Ultrasound Technology
  • Computer Science Applications
  • Electrical and Electronic Engineering


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