Bayesian Speckle Tracking. Part II: Biased Ultrasound Displacement Estimation

Overview

Journal IEEE Trans Ultrason Ferroelectr Freq Control

Specialties Biomedical Engineering
Nuclear Medicine

Date 2013 Jan 5

PMID 23287921

Citations 18

Authors

Brett Byram

Gregg E Trahey

Mark Palmeri

Affiliations

Soon will be listed here.

Abstract

Ultrasonic displacement estimates have numerous clinical uses, including blood flow estimation, elastography, therapeutic guidance, and acoustic radiation force imaging (ARFI). These clinical tasks could be improved with better ultrasonic displacement estimates. Traditional ultrasonic displacement estimates are limited by the Cramer-Rao lower bound (CRLB). The CRLB can be surpassed using biased estimates. In this paper, a framework for biased estimation using Bayes' theorem is described. The Bayesian displacement estimation method is tested against simulations of several common types of motion: bulk, step, compression, and acoustic-radiation-force-induced motion. Bayesian estimation is also applied to in vivo ARFI of cardiac ablation lesions. The Bayesian estimators are compared with the unbiased estimator, normalized cross-correlation. As an example, the peak displacement of the simulated acoustic radiation force response is reported because this position results in the noisiest estimates. Estimates were made with a 1.5-λ kernel and 20 dB SNR on 100 data realizations. Estimates using normalized cross-correlation and the Bayes' estimator had mean-square errors of 17 and 7.6 μm², respectively, and contextualized by the true displacement magnitude, 10.9 μm. Biases for normalized cross-correlation and the Bayes' estimator are -0.12 and -0.28 μm, respectively. In vivo results show qualitative improvements. The results show that with small amounts of additional information, significantly improved performance can be realized.

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References

Schlaikjer M, Arendt Jensen J . Maximum likelihood blood velocity estimator incorporating properties of flow physics. IEEE Trans Ultrason Ferroelectr Freq Control. 2004; 51(1):80-92. DOI: 10.1109/tuffc.2004.1268470. View

Zahiri-Azar R, Salcudean S . Motion estimation in ultrasound images using time domain cross correlation with prior estimates. IEEE Trans Biomed Eng. 2006; 53(10):1990-2000. DOI: 10.1109/TBME.2006.881780. View

Chen L, Housden R, Treece G, Gee A, Prager R . A hybrid displacement estimation method for ultrasonic elasticity imaging. IEEE Trans Ultrason Ferroelectr Freq Control. 2010; 57(4):866-82. PMC: 2893011. DOI: 10.1109/TUFFC.2010.1491. View

Petrank Y, Huang L, ODonnell M . Reduced peak-hopping artifacts in ultrasonic strain estimation using the Viterbi algorithm. IEEE Trans Ultrason Ferroelectr Freq Control. 2009; 56(7):1359-67. DOI: 10.1109/TUFFC.2009.1192. View

Varghese T, Ophir J . A theoretical framework for performance characterization of elastography: the strain filter. IEEE Trans Ultrason Ferroelectr Freq Control. 1997; 44(1):164-72. DOI: 10.1109/58.585212. View

Palmeri M, Sharma A, Bouchard R, Nightingale R, Nightingale K . A finite-element method model of soft tissue response to impulsive acoustic radiation force. IEEE Trans Ultrason Ferroelectr Freq Control. 2005; 52(10):1699-712. PMC: 2818996. DOI: 10.1109/tuffc.2005.1561624. View

Jiang J, Hall T . A generalized speckle tracking algorithm for ultrasonic strain imaging using dynamic programming. Ultrasound Med Biol. 2009; 35(11):1863-79. PMC: 2843521. DOI: 10.1016/j.ultrasmedbio.2009.05.016. View

Pellot-Barakat C, Frouin F, Insana M, Herment A . Ultrasound elastography based on multiscale estimations of regularized displacement fields. IEEE Trans Med Imaging. 2004; 23(2):153-63. PMC: 2832588. DOI: 10.1109/TMI.2003.822825. View

Jiang J, Hall T . A parallelizable real-time motion tracking algorithm with applications to ultrasonic strain imaging. Phys Med Biol. 2007; 52(13):3773-90. DOI: 10.1088/0031-9155/52/13/008. View

10.

Skovoroda A, Lubinski M, Emelianov S, ODonnell M . Nonlinear estimation of the lateral displacement using tissue incompressibility. IEEE Trans Ultrason Ferroelectr Freq Control. 2008; 45(2):491-503. DOI: 10.1109/58.660158. View

11.

Jensen J, Svendsen N . Calculation of pressure fields from arbitrarily shaped, apodized, and excited ultrasound transducers. IEEE Trans Ultrason Ferroelectr Freq Control. 1992; 39(2):262-7. DOI: 10.1109/58.139123. View

12.

Palmeri M, McAleavey S, Trahey G, Nightingale K . Ultrasonic tracking of acoustic radiation force-induced displacements in homogeneous media. IEEE Trans Ultrason Ferroelectr Freq Control. 2006; 53(7):1300-13. PMC: 1815396. DOI: 10.1109/tuffc.2006.1665078. View

13.

Byram B, Trahey G, Palmeri M . Bayesian speckle tracking. Part I: an implementable perturbation to the likelihood function for ultrasound displacement estimation. IEEE Trans Ultrason Ferroelectr Freq Control. 2013; 60(1):132-43. PMC: 3547659. DOI: 10.1109/TUFFC.2013.2545. View

14.

Wagner R, Insana M, Smith S . Fundamental correlation lengths of coherent speckle in medical ultrasonic images. IEEE Trans Ultrason Ferroelectr Freq Control. 1988; 35(1):34-44. PMC: 5567795. DOI: 10.1109/58.4145. View