An Adaptive Filter to Approximate the Bayesian Strategy for Sonographic Beamforming

A first-principles task-based approach to the design of medical ultrasonic imaging systems for breast lesion discrimination is described. This study explores a new approximation to the ideal Bayesian observer strategy that allows for object heterogeneity. The new method, called iterative Wiener filtering, is implemented using echo data simulations and a phantom study. We studied five lesion features closely associated with visual discrimination for clinical diagnosis. A series of human observer measurements for the same image data allowed us to quantitatively compare alternative beamforming strategies through measurements of visual discrimination efficiency. Employing the Smith-Wagner model observer, we were able to breakdown efficiency estimates and identify the processing stage at which performance losses occur. The methods were implemented using a commercial scanner and a cyst phantom to explore development of spatial filters for systems with shift-variant impulse response functions. Overall we found that significant improvements were realized over standard B-mode images using a delay-and-sum beamformer but at the cost of higher complexity and computational load.

[1]  H. Barrett,et al.  Objective assessment of image quality. III. ROC metrics, ideal observers, and likelihood-generating functions. , 1998, Journal of the Optical Society of America. A, Optics, image science, and vision.

[2]  Theodore G. Birdsall,et al.  Definitions of d′ and η as Psychophysical Measures , 1958 .

[3]  D. M. Green,et al.  Signal detection theory and psychophysics , 1966 .

[4]  Henry Cox,et al.  Robust adaptive beamforming , 2005, IEEE Trans. Acoust. Speech Signal Process..

[5]  H H Barrett,et al.  Objective assessment of image quality: effects of quantum noise and object variability. , 1990, Journal of the Optical Society of America. A, Optics and image science.

[6]  K. Thomenius,et al.  Evolution of ultrasound beamformers , 1996, 1996 IEEE Ultrasonics Symposium. Proceedings.

[7]  J. Besag On the Statistical Analysis of Dirty Pictures , 1986 .

[8]  William D. O'Brien,et al.  A regularized inverse approach to ultrasonic pulse-echo imaging , 2006, IEEE Transactions on Medical Imaging.

[9]  F. Lingvall,et al.  On Time-Domain Model-Based Ultrasonic Array Imaging , 2007, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[10]  Kevin J. Parker,et al.  Multiple Resolution Bayesian Segmentation of Ultrasound Images , 1994, Other Conferences.

[11]  Jie Liu,et al.  Observer efficiency in discrimination tasks Simulating Malignant and benign breast lesions imaged with ultrasound , 2006, IEEE Transactions on Medical Imaging.

[12]  D. Guenther,et al.  Robust finite impulse response beamforming applied to medical ultrasound , 2009, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[13]  Matthew A. Kupinski,et al.  Objective Assessment of Image Quality , 2005 .

[14]  R. F. Wagner,et al.  Unified SNR analysis of medical imaging systems , 1985, Physics in medicine and biology.

[15]  A. Gualtierotti H. L. Van Trees, Detection, Estimation, and Modulation Theory, , 1976 .

[16]  P. Ask Ultrasound imaging. Waves, signals and signal processing , 2002 .

[17]  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.

[18]  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.

[19]  Petre Stoica,et al.  Robust Adaptive Beamforming: Li/Robust Adaptive Beamforming , 2005 .

[20]  A. Burgess Comparison of receiver operating characteristic and forced choice observer performance measurement methods. , 1995, Medical physics.

[21]  Bin Liu,et al.  Ideal AFROC and FROC Observers , 2010, IEEE Transactions on Medical Imaging.

[22]  J. Liu,et al.  Observer efficiency in discrimination tasks simulating malignant and benign breast lesions with ultrasound , 2004, Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, 2004..

[23]  Donald Geman,et al.  Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[24]  P. Stoica,et al.  Robust Adaptive Beamforming , 2013 .

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

[26]  Donald Geman,et al.  Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images , 1984 .

[27]  Nuggehally Sampath Jayant,et al.  An adaptive clustering algorithm for image segmentation , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

[28]  Jian Li,et al.  Time-delay- and time-reversal-based robust capon beamformers for ultrasound imaging , 2005, IEEE Trans. Medical Imaging.

[29]  Robert C. Waag,et al.  Ultrasound Imaging: Waves, Signals, and Signal Processing , 2007 .

[30]  M.F. Insana,et al.  Linear system models for ultrasonic imaging: application to signal statistics , 2003, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[31]  A. Austeng,et al.  Adaptive Beamforming Applied to Medical Ultrasound Imaging , 2007, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[32]  Gene H. Golub,et al.  Matrix computations , 1983 .

[33]  Harrison H. Barrett,et al.  Foundations of Image Science , 2003, J. Electronic Imaging.

[34]  R. F. Wagner,et al.  Low Contrast Detectability and Contrast/Detail Analysis in Medical Ultrasound , 1983, IEEE Transactions on Sonics and Ultrasonics.

[35]  M. Melamed Detection , 2021, SETI: Astronomy as a Contact Sport.