Abstract
Ultrasound vector Doppler techniques for three-dimensional (3-D) blood velocity measurements are currently limited by low temporal resolution and high computational cost. In this paper, an efficient 3-D high-frame-rate vector Doppler method, which estimates the displacements in the frequency domain, is proposed. The novel method extends to 3-D an approach so far proposed for two-dimensional (2-D) velocity measurements by approximating the (x, y, z) displacement of a small volume through the displacements estimated for the 2-D regions parallel to the y and x directions, respectively. The new method was tested by simulation and experiments for a 3.7 MHz, 256-element, 2-D piezoelectric sparse spiral array. Simulations were also performed for an equivalent 7 MHz Capacitive Micromachined Ultrasonic Transducer spiral array. The results indicate performance (bias ± standard deviation: 6.5 ± 8.0) comparable to the performance obtained by using a linear array for 2-D velocity measurements. These results are particularly encouraging when considering that sparse arrays were used, which involve a lower signal-to-noise ratio and worse beam characteristics with respect to full 2-D arrays.
Highlights
Estimation of blood flow velocity through Doppler ultrasound (US) [1] has been for a long time limited to the axial component of the velocity vector
Even if several methods were proposed to overcome this limitation by estimating the two components of the velocity vector lying within the scan (x–z) plane (2-D Doppler), such methods only estimate the velocity in a single sample volume by exploiting triangulation [2,3,4], Doppler bandwidth [5], and transverse oscillations approaches [6,7]
10.2 ± 9.5 frequency domain phase shifts corresponding to the displacement of 2-D9.8 kernels extracted from
Summary
Estimation of blood flow velocity through Doppler ultrasound (US) [1] has been for a long time limited to the axial component of the velocity vector. Even if several methods were proposed to overcome this limitation by estimating the two components of the velocity vector lying within the scan (x–z) plane (2-D Doppler), such methods only estimate the velocity in a single sample volume by exploiting triangulation [2,3,4], Doppler bandwidth [5], and transverse oscillations approaches [6,7]. Several approaches have been so far proposed based on either 2-D speckle tracking [11,12], multiangle Doppler analysis [13,14,15], transverse oscillations [16,17], or color Doppler and continuity equations [18].
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