Automatic correction of background phase offset in 4D-flow of great vessels and of the heart in MRI using a third-order surface model

  • Damian CraiemEmail author
  • Ariel F. Pascaner
  • Mariano E. Casciaro
  • Umit Gencer
  • Joaquin Alcibar
  • Gilles Soulat
  • Elie Mousseaux
Research Article



To evaluate an automatic correction method for velocity offset errors in cardiac 4D-flow acquisitions.

Materials and methods

Velocity offset correction was done in a plane-by-plane scheme and compared to a volumetric approach. Stationary regions were automatically detected. In vitro experiments were conducted in a phantom using two orientations and two encoding velocities (Venc). First- to third-order models were fit to the time-averaged images of the three velocity components. In vivo experiments included realistic ROIs in a volunteer superimposed to a phantom. In 15 volunteers, blood flow volume of the proximal and distal descending aorta, of the pulmonary artery (Qp) and the ascending aorta (Qs) was compared.


Offset errors were reduced after correction with a third-order model, yielding residual phantom velocities below 0.6 cm/s and 0.4% of Venc. The plane-by-plane correction method was more effective than the volumetric approach. Mean velocities through superimposed ROIs of a volunteer vs phantom were highly correlated (r2 = 0.96). The significant difference between proximal and distal descending aortic flows was decreased after correction from 8.1 to − 1.4 ml (p < 0.001) and Qp/Qs reduced from 1.08 ± 0.09 to 1.01 ± 0.05.


An automatic third-order model corrected velocity offset errors in 4D-flow acquisitions, achieving acceptable levels for clinical applications.


Phase-contrast MRI Eddy currents Velocity offset error Blood flow 



The authors thank Prof. Emmanuel Messas, Principal Investigator of the ElastoCardio Project.

Author contributions

Study conception and design: DC, EM. Data acquisition: DC, UG, GS, EM. Data analysis and interpretation: DC, AFP, MEC, UG, JA, GS, EM. Manuscript drafting: DC, AFP, MEC, UG, JA, GS, EM. Critical revision: DC, AFP, MEC, UG, JA, GS, EM


This work was partially supported by grants, PIP no. 1220130100480 (CONICET, Argentine) and PICT no. 2016-0945 (MINCyT, Argentine).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

All experiments were performed in accordance with the Declaration of Helsinki and as approved by the local Ethics Committee.

Informed consent

Informed written consent was obtained from all volunteers.

Supplementary material

10334_2019_765_MOESM1_ESM.tif (495 kb)
Figure 4 Sup Each of the 3D velocity components obtained in a representative sagittal plane of the static phantom are represented after adjustment with a third order model and exclusion of 50% of the inner points. Histograms after correction with a third order model are shown for each velocity component. a = anterior, p = posterior, s = superior, i = inferior, r = right, l = left, SD = standard deviation (TIFF 495 kb)


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Copyright information

© European Society for Magnetic Resonance in Medicine and Biology (ESMRMB) 2019

Authors and Affiliations

  1. 1.Instituto de Medicina Traslacional, Trasplante y Bioingeniería (IMeTTyB)Universidad Favaloro-CONICETBuenos AiresArgentina
  2. 2.Cardiovascular Imaging UnitHôpital Européen Georges Pompidou, INSERM U970ParisFrance

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