Fast 3-D Velocity Estimation in 4-D using a 62 + 62 Row-Column Addressed Array

Mikkel Schou*, Lasse Thurmann Jørgensen, Christopher Beers, Marie Sand Traberg, Borislav Gueorguiev Tomov, Matthias Bo Stuart, Jørgen Arendt Jensen

*Corresponding author for this work

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This paper presents an imaging scheme capable of estimating the full 3-D velocity vector field in a volume using rowcolumn addressed (RCA) arrays at a high volume rate. A 62+62 RCA array is employed with an interleaved synthetic aperture sequence. It contains repeated emissions with rows and columns interleaved with B-mode emissions. The sequence contains 80 emissions in total and can provide continuous volumetric data at a volume rate above 125 Hz. A transverse oscillation crosscorrelation estimator determines all three velocity components. The approach is investigated using Field II simulations and measurements using a specially built 3 MHz 62+62 RCA array connected to the SARUS experimental scanner. Both the B-mode and flow sequences have a penetration depth of 14 cm when measured on a tissue mimicking phantom (0.5 dB/[MHz·cm] attenuation). Simulations of a parabolic flow in a 12 mm diameter vessel at a depth of 30 mm, beam-to-flow angle of 90°, and xyrotation of 45° gave a standard deviation (SD) of (3.3, 3.4, 0.4)% and bias of (-3.3, -3.9, -0.1)%, for (vx, vy, vz). Decreasing the beam-to-flow angle to 60° gave a SD of (8.9, 9.1, 0.8)% and bias of (-7.6, -9.5, -7.2)%, showing a slight increase. Measurements were carried out using a similar setup, and pulsing at 2 kHz yielded comparable results at 90° with a SD of (5.8, 5.5, 1.1)% and bias of (1.4, -6.4, 2.4)%. At 60° the SD was (5.2, 4.7 1.2)% and bias (-4.6, 6.9, -7.4)%. Results from measurements across all tested settings showed a maximum SD of 6.8% and a maximum bias of 15.8%, for a peak velocity of 10 cm/s. A tissue mimicking phantom with a straight vessel was used to introduce clutter, tissue motion, and a pulsating flow. The pulsating velocity magnitude was estimated across 10 pulse periods and yielded an SD of 10.9%. The method was capable of estimating transverse flow components precisely, but underestimated the flow with small beam-to-flow angles. The sequence provided continuous data in both time and space throughout the volume, allowing for retrospective analysis of the flow. Moreover, B-mode planes can be selected retrospectively anywhere in the volume. This shows that tensor velocity imaging (full 3-D volumetric vector flow imaging) can be estimated in 4-D (x,y,z,t) using only 62 channels in receive, making 4-D volumetric imaging implementable on current scanner hardware.
Original languageEnglish
JournalIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Issue number3
Pages (from-to)608 - 623
Publication statusPublished - 2021


  • Blood flow measurement
  • Row column addressed
  • Synthetic aperture flow imaging
  • Tensor velocity imaging (TVI)
  • Three dimensional imaging
  • Ultrasonic transducers


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