Estimation of Velocity Vectors in Synthetic Aperture Ultrasound Imaging

A method for determining both velocity magnitude and angle in a synthetic aperture ultrasound system is described. The approach uses directional beamforming along the flow direction and cross correlation to determine velocity magnitude. The angle of the flow is determined from the maximum normalized correlation calculated as a function of angle. This assumes the flow direction is within the imaging plane. Simulations of the angle estimation method show both biases and standard deviations of the flow angle estimates below 3deg for flow angles from 20deg to 90deg (transverse flow). The method is also investigated using data measured by an experimental ultrasound scanner from a flow rig. A commercial 128 element 7-MHz linear array transducer is used, and data are measured for flow angles of 60deg and 90deg. Data are acquired using the RASMUS experimental ultrasound scanner, which samples 64 channels simultaneously. A 20-mus chirp was used during emission and eight virtual transmit sources were created behind the transducer using 11 transmitting elements. Data from the eight transmissions are beamformed and coherently summed to create high-resolution lines at different angles for a set of points within the region of flow. The velocity magnitude is determined with a precision of 0.36% (60deg) and 1.2% (90deg), respectively. The 60deg angle is estimated with a bias of 0.54deg and a standard deviation of 2.1deg. For 90deg the bias is 0.0003deg and standard deviation 1.32deg. A parameter study with regard to correlation length and number of emissions is performed to reveal the accuracy of the method. Real time data covering 2.2 s of the carotid artery of a healthy 30-year-old male volunteer is acquired and then processed offline using a computer cluster. The direction of flow is estimated using the above mentioned method. It is compared to the flow angle of 106deg with respect to the axial direction, determined visually from the B-mode image. For a point in the center of the common carotid artery, 76% of the flow angle estimates over the 2.2 s were within 10deg of the visually determined flow angle. The standard deviation of these estimates was below 2.7deg. Full color flow maps from different parts of the cardiac cycle are presented, including vector arrows indicating both estimated flow direction and velocity magnitude

[1]  R S Reneman,et al.  An efficient algorithm to remove low frequency Doppler signals in digital Doppler systems. , 1991, Ultrasonic imaging.

[2]  E. Ritenour Doppler Ultrasound: Physics, Instrumentation and Clinical Applications , 1990 .

[3]  G. Trahey,et al.  Angle Independent Ultrasonic Detection of Blood Flow , 1987, IEEE Transactions on Biomedical Engineering.

[4]  M. O'Donnell,et al.  Synthetic aperture imaging for small scale systems , 1995, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[5]  K. Boone,et al.  Effect of skin impedance on image quality and variability in electrical impedance tomography: a model study , 1996, Medical and Biological Engineering and Computing.

[6]  J.A. Jensen,et al.  Effects Influencing Focusing in Synthetic Aperture Vector Flow Imaging , 2007, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[7]  J. Jensen Estimation of Blood Velocities Using Ultrasound: A Signal Processing Approach , 1996 .

[8]  J. Jensen,et al.  Multielement synthetic transmit aperture imaging using temporal encoding , 2003, IEEE Transactions on Medical Imaging.

[9]  J. Jensen,et al.  In-vivo synthetic aperture flow imaging in medical ultrasound , 2003, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[10]  J. Jensen,et al.  Calculation of pressure fields from arbitrarily shaped, apodized, and excited ultrasound transducers , 1992, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[11]  J. A. Jensen,et al.  Transverse flow imaging using synthetic aperture directional beamforming , 2002, 2002 IEEE Ultrasonics Symposium, 2002. Proceedings..

[12]  Jørgen Arendt Jensen,et al.  Preliminary in-vivo evaluation of convex array synthetic aperture imaging , 2004, SPIE Medical Imaging.

[13]  J. Jensen,et al.  Estimation of blood velocity vectors using transverse ultrasound beam focusing and cross-correlation , 1999, 1999 IEEE Ultrasonics Symposium. Proceedings. International Symposium (Cat. No.99CH37027).

[14]  M. Fox Multiple crossed-beam ultrasound Doppler velocimetry , 1978 .

[15]  W. O’Brien,et al.  Flow velocity profile via time-domain correlation: error analysis and computer simulation , 1990, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[16]  J. A. Jensen,et al.  Recursive ultrasound imaging , 1999, 1999 IEEE Ultrasonics Symposium. Proceedings. International Symposium (Cat. No.99CH37027).

[17]  G.R. Lockwood,et al.  Real-time 3-D ultrasound imaging using sparse synthetic aperture beamforming , 1998, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[18]  O. Bonnefous Statistical analysis and time correlation processes applied to velocity measurement (blood flow) , 1989, Proceedings., IEEE Ultrasonics Symposium,.

[19]  S. Nikolov,et al.  Directional synthetic aperture flow imaging , 2004, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[20]  J. Arendt Paper presented at the 10th Nordic-Baltic Conference on Biomedical Imaging: Field: A Program for Simulating Ultrasound Systems , 1996 .

[21]  J.A. Jensen,et al.  Ultrasound research scanner for real-time synthetic aperture data acquisition , 2005, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[22]  J. Jensen,et al.  An effective coded excitation scheme based on a predistorted FM signal and an optimized digital filter , 1999, 1999 IEEE Ultrasonics Symposium. Proceedings. International Symposium (Cat. No.99CH37027).

[23]  Jorgen Jensen Velocity vector estimation in synthetic aperture flow and B-mode imaging , 2004, 2004 2nd IEEE International Symposium on Biomedical Imaging: Nano to Macro (IEEE Cat No. 04EX821).

[24]  Jørgen Arendt Jensen,et al.  Ultrasound imaging using coded signals , 2001 .