Correlation analysis of three-dimensional strain imaging using ultrasound two-dimensional array transducers.

Two-dimensional (2D) transducer arrays represent a promising solution for implementing real time three-dimensional (3D) ultrasound elastography. 2D arrays enable electronic steering and focusing of ultrasound beams throughout a 3D volume along with improved slice thickness performance when compared to one-dimensional (1D) transducer arrays. Therefore, signal decorrelation caused by tissue motion in the elevational (out-of-plane) direction needs to be considered. In this paper, a closed form expression is derived for the correlation coefficient between pre- and postdeformation ultrasonic radio frequency signals. Signal decorrelation due to 3D motion of scatterers within the ultrasonic beam has been considered. Computer simulations are performed to corroborate the theoretical results. Strain images of a spherical inclusion phantom generated using 1D and 2D array transducers are obtained using a frequency domain simulation model. Quantitative image quality parameters, such as the signal-to-noise and contrast-to-noise ratios obtained using 1D, 2D, and 3D motion tracking algorithms, are compared to evaluate the performance with the 3D strain imaging system. The effect of the aperture size for 2D arrays and other factors that affect signal decorrelation are also discussed.

[1]  Samer,et al.  3 D Strain Imaging Using a Rectilinear 2 D Array , 2022 .

[2]  M. O’Donnell,et al.  Internal displacement and strain imaging using ultrasonic speckle tracking , 1994, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[3]  R. F. Wagner,et al.  Statistics of Speckle in Ultrasound B-Scans , 1983, IEEE Transactions on Sonics and Ultrasonics.

[4]  E B Hunziker,et al.  Mechanical anisotropy of the human knee articular cartilage in compression , 2003, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[5]  J. Hossack,et al.  3D prostate elastography: algorithm, simulations and experiments , 2007, Physics in medicine and biology.

[6]  T. Krouskop,et al.  Poroelastography: imaging the poroelastic properties of tissues. , 2001, Ultrasound in medicine & biology.

[7]  Tomy Varghese,et al.  Correlation analysis of the beam angle dependence for elastography. , 2006 .

[8]  F. Kallel,et al.  A Least-Squares Strain Estimator for Elastography , 1997, Ultrasonic imaging.

[9]  J Ophir,et al.  Precision estimation and imaging of normal and shear components of the 3D strain tensor in elastography. , 2000, Physics in medicine and biology.

[10]  Yadong Li,et al.  A frequency domain model for generating B-mode images with array transducers , 1999, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[11]  M. Bilgen,et al.  Dynamics of errors in 3D motion estimation and implications for strain-tensor imaging in acoustic elastography. , 2000, Physics in medicine and biology.

[12]  Tomy Varghese,et al.  Simulation of ultrasound two-dimensional array transducers using a frequency domain model. , 2008, Medical physics.

[13]  R. F. Wagner,et al.  Fundamental correlation lengths of coherent speckle in medical ultrasonic images , 1988, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[14]  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.

[15]  Jonathan Ophir,et al.  The feasibility of using elastography for imaging the Poisson's ratio in porous media. , 2004, Ultrasound in medicine & biology.

[16]  U. Techavipoo,et al.  Correlation of RF signals during angular compounding , 2005, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[17]  O Basset,et al.  Experimental three dimensional strain estimation from ultrasonic sectorial data. , 2006, Ultrasonics.

[18]  Tomy Varghese,et al.  Simulation of ultrasound two-dimensional array transducers using a frequency domain model. , 2008, Medical physics.

[19]  J. Yen,et al.  3D Strain Imaging Using a Rectilinear 2D Array , 2007, Ultrasonic imaging.

[20]  M. Sato.  [Mechanical properties of living tissues]. , 1986, Iyo denshi to seitai kogaku. Japanese journal of medical electronics and biological engineering.

[21]  Michel Bertrand,et al.  Ultrasonic texture motion analysis: theory and simulation , 1995, IEEE Trans. Medical Imaging.

[22]  Faouzi Kallel,et al.  Tissue elasticity reconstruction using linear perturbation method , 1996, IEEE Trans. Medical Imaging.

[23]  Andrew H. Gee,et al.  3D Elastography Using Freehand Ultrasound , 2004, MICCAI.

[24]  J. Ophir,et al.  Three-dimensional tissue motion and its effect on image noise in elastography , 1997, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.