Comparison of wall filter algorithms for ultrasonic microvascular imaging_Journal of Biomedical Engineering

Authors：

WANG Baoyu , ZHANG Miao , LIU Ruilin ,  ZHANG Shi

School of Computer Science & Engineering, Northeastern University, Shenyang 110000, P. R. China;

Corresponding author：

ZHANG Shi, Email: zhangshi@mail.neu.edu.cn

Keywords：

Ultrasonic imaging; Micro flow imaging; Wall filter; Singular value decomposition

DOI：

10.7507/1001-5515.202203032

Video：

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Abstract Full text Figures/Tables Video References Cited by

The design of wall filter in ultrasonic microvascular imaging directly affects the resolution of blood flow imaging. We compared the traditional polynomial regression wall filter algorithm and two algorithms based on singular value decomposition (SVD), Full-SVD algorithm and RS-RSVD algorithm (random sampling based on random singular value decomposition) through experiments with simulated data and human renal entity data imaging experiments. The experimental results showed that the filtering effect of the traditional polynomial regression wall filter algorithm was limited, however, Full-SVD algorithm and RS-RSVD algorithm could better extract the micro blood flow signal from the tissue or noise signal. When RS-RSVD algorithm was randomly divided into 16 blocks, the signal-to-noise ratio was the same as that of Full-SVD algorithm, reduces the contrast-to-noise ratio by 2.05 dB, and reduces the execution time by 90.41%. RS-RSVD algorithm can improve the operation efficiency and is more conducive to the real-time imaging of high frame rate ultrasound microvessels.

Citation： WANG Baoyu, ZHANG Miao, LIU Ruilin, ZHANG Shi. Comparison of wall filter algorithms for ultrasonic microvascular imaging. Journal of Biomedical Engineering, 2022, 39(4): 740-748, 758. doi: 10.7507/1001-5515.202203032 Copy

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2.	Kruse D E, Ferrara K W. A new high resolution color flow system using an eigendecomposition-based adaptive filter for clutter rejection. IEEE Trans Ultrason Ferroelectr Freq Control, 2002, 49(12): 1739-1754.
3.	Bjaerum S, Torp H, Kristoffersen K. Clutter filter design for ultrasound color flow imaging. IEEE Trans Ultrason Ferroelectr Freq Control, 2002, 49(2): 204-216.
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9.	Bjaerum S, Torp H, Kristoffersen K. Clutter filters adapted to tissue motion in ultrasound color flow imaging. IEEE Trans Ultrason Ferroelectr Freq Control, 2002, 49(6): 693-704.
10.	Thomas L, Hall A. An improved wall filter for flow imaging of low velocity flow// 1994 IEEE Ultrasonics Symposium(ULTSYM). Cannes: IEEE, 1994: 1701-1704.
11.	Yu A, Cobbold R. Single-ensemble-based eigen-processing methods for color flow imaging-part I. The Hankel-SVD filter. IEEE Trans Ultrason Ferroelectr Freq Control, 2008, 55(3): 559-572.
12.	Yu A, Cobbold R. Single-ensemble-based eigen-processing methods for color flow imaging-part II. The matrix pencil estimator. IEEE Trans Ultrason Ferroelectr Freq Control, 2008, 55(3): 573-587.
13.	Forsberg F. On the usefulness of singular value decomposition-ARMA models in Doppler ultrasound. IEEE Trans Ultrason Ferroelectr Freq Control, 1991, 38(5): 418-428.
14.	Demené C, Deffieux T, Pernot M, et al. Spatiotemporal clutter filtering of ultrafast ultrasound data highly increases Doppler and fultrasound sensitivity. IEEE Trans Med Imaging, 2015, 34(11): 2271-2285.
15.	Mauldin F W, Lin D, Hossack J A. The singular value filter: a general filter design strategy for PCA-based signal separation in medical ultrasound imaging. IEEE Trans Med Imaging, 2011, 30(11): 1951-1964.
16.	Song P, Manduca A, Trzasko J D, et al. Ultrasound small vessel imaging with block-wise adaptive local clutter filtering. IEEE Trans Med Imaging, 2017, 36(1): 251-262.
17.	Song P, Trzasko J D, Manduca A, et al. Accelerated singular value-based ultrasound blood flow clutter filtering with randomized singular value decomposition and randomized spatial downsampling. IEEE Trans Ultrason Ferroelectr Freq Control, 2017, 64(4): 706-716.
18.	Pham D H, Basarab A, Zemmoura I, et al. Joint blind deconvolution and robust principal component analysis for blood flow estimation in medical ultrasound imaging. IEEE Trans Ultrason Ferroelectr Freq Control, 2020, 64(4): 969-978.
19.	王录涛, 肖军, 柴华. 超声血流成像中的壁滤波器设计方法分析与性能比较. 生物医学工程学杂志, 2015, 32(4): 773-778.
20.	Ramalli A, Rodriguez-Molares A, Avdal J, et al. High-frame-rate color Doppler echocardiography: a quantitative comparison of different approaches. IEEE Trans Ultrason Ferroelectr Freq Control, 2020, 67(5): 923-933.
21.	Yu A C H, Lovstakken L. Eigen-based clutter filter design for ultrasound color flow imaging: a review. IEEE Trans Ultrason Ferroelectr Freq Control, 2010, 57(5): 1096-1111.
22.	Lovstakken L, Bjaerum S, Kristoffersen K, et al. Real-time adaptive clutter rejection filtering in color flow imaging using power method iterations. IEEE Trans Ultrason Ferroelectr Freq Control, 2006, 53(9): 1597-1608.
23.	Halko N, Martinsson P G, Tropp J A. Finding structure with randomness: probabilistic algorithms for constructing approximate matrix decompositions. SIAM Rev, 2010, 53(2): 217-288.
24.	Martinsson P G, Voronin S. A randomized blocked algorithm for efficiently computing rank-revealing factorizations of matrices. SIAM J Sci Comput, 2016, 38(5): 485-507.
25.	Jensen J A, Svendsen N B. Calculation of pressure fields from arbitrarily shaped, apodized, and excited ultrasound transducers. IEEE Trans Ultrason Ferroelectr Freq Control, 1992, 39(2): 262-267.
26.	Jensen J A. FIELD: A program for simulating ultrasound systems. Med Biol Eng Comput, 1996, 34(1): 351-352.

1. Provost J, Papadacci C, Demene C, et al. 3-D ultrafast Doppler imaging applied to the noninvasive mapping of blood vessels in vivo. IEEE Trans Ultrason Ferroelectr Freq Control, 2015, 62(8): 1467-1472.
2. Kruse D E, Ferrara K W. A new high resolution color flow system using an eigendecomposition-based adaptive filter for clutter rejection. IEEE Trans Ultrason Ferroelectr Freq Control, 2002, 49(12): 1739-1754.
3. Bjaerum S, Torp H, Kristoffersen K. Clutter filter design for ultrasound color flow imaging. IEEE Trans Ultrason Ferroelectr Freq Control, 2002, 49(2): 204-216.
4. Tysoe C, Evans D H. Bias in mean frequency estimation of Doppler signals due to wall clutter filters. Ultrasound Med Biol, 1995, 21(5): 671-677.
5. 曹铁生, 袁丽君, 段云友, 等. 血流频谱中的心脏运动信号及其对血流速度测定的影响//中华医学会第六次全国超声医学学术年会. 南京: 中华医学会超声医学分会, 2001: 70-71.
6. Turek J S, Elad M, Yavneh I. Clutter mitigation in echocardiography using sparse signal separation. IJBI, 2015, 958963: 1-18.
7. Mauldin F W, Viola F, Walker W F. Complex principal components for robust motion estimation. IEEE Trans Ultrason Ferroelectr Freq Control, 2010, 57(11): 2437-2449.
8. Shen H, Barthelemy C, Khoury E, et al. High-resolution and high-sensitivity blood flow estimation using optimization approaches with application to vascularization imaging// 2019 IEEE International Ultrasonics Symposium (IUS). Glasgow: IEEE, 2019: 467-470.
9. Bjaerum S, Torp H, Kristoffersen K. Clutter filters adapted to tissue motion in ultrasound color flow imaging. IEEE Trans Ultrason Ferroelectr Freq Control, 2002, 49(6): 693-704.
10. Thomas L, Hall A. An improved wall filter for flow imaging of low velocity flow// 1994 IEEE Ultrasonics Symposium(ULTSYM). Cannes: IEEE, 1994: 1701-1704.
11. Yu A, Cobbold R. Single-ensemble-based eigen-processing methods for color flow imaging-part I. The Hankel-SVD filter. IEEE Trans Ultrason Ferroelectr Freq Control, 2008, 55(3): 559-572.
12. Yu A, Cobbold R. Single-ensemble-based eigen-processing methods for color flow imaging-part II. The matrix pencil estimator. IEEE Trans Ultrason Ferroelectr Freq Control, 2008, 55(3): 573-587.
13. Forsberg F. On the usefulness of singular value decomposition-ARMA models in Doppler ultrasound. IEEE Trans Ultrason Ferroelectr Freq Control, 1991, 38(5): 418-428.
14. Demené C, Deffieux T, Pernot M, et al. Spatiotemporal clutter filtering of ultrafast ultrasound data highly increases Doppler and fultrasound sensitivity. IEEE Trans Med Imaging, 2015, 34(11): 2271-2285.
15. Mauldin F W, Lin D, Hossack J A. The singular value filter: a general filter design strategy for PCA-based signal separation in medical ultrasound imaging. IEEE Trans Med Imaging, 2011, 30(11): 1951-1964.
16. Song P, Manduca A, Trzasko J D, et al. Ultrasound small vessel imaging with block-wise adaptive local clutter filtering. IEEE Trans Med Imaging, 2017, 36(1): 251-262.
17. Song P, Trzasko J D, Manduca A, et al. Accelerated singular value-based ultrasound blood flow clutter filtering with randomized singular value decomposition and randomized spatial downsampling. IEEE Trans Ultrason Ferroelectr Freq Control, 2017, 64(4): 706-716.
18. Pham D H, Basarab A, Zemmoura I, et al. Joint blind deconvolution and robust principal component analysis for blood flow estimation in medical ultrasound imaging. IEEE Trans Ultrason Ferroelectr Freq Control, 2020, 64(4): 969-978.
19. 王录涛, 肖军, 柴华. 超声血流成像中的壁滤波器设计方法分析与性能比较. 生物医学工程学杂志, 2015, 32(4): 773-778.
20. Ramalli A, Rodriguez-Molares A, Avdal J, et al. High-frame-rate color Doppler echocardiography: a quantitative comparison of different approaches. IEEE Trans Ultrason Ferroelectr Freq Control, 2020, 67(5): 923-933.
21. Yu A C H, Lovstakken L. Eigen-based clutter filter design for ultrasound color flow imaging: a review. IEEE Trans Ultrason Ferroelectr Freq Control, 2010, 57(5): 1096-1111.
22. Lovstakken L, Bjaerum S, Kristoffersen K, et al. Real-time adaptive clutter rejection filtering in color flow imaging using power method iterations. IEEE Trans Ultrason Ferroelectr Freq Control, 2006, 53(9): 1597-1608.
23. Halko N, Martinsson P G, Tropp J A. Finding structure with randomness: probabilistic algorithms for constructing approximate matrix decompositions. SIAM Rev, 2010, 53(2): 217-288.
24. Martinsson P G, Voronin S. A randomized blocked algorithm for efficiently computing rank-revealing factorizations of matrices. SIAM J Sci Comput, 2016, 38(5): 485-507.
25. Jensen J A, Svendsen N B. Calculation of pressure fields from arbitrarily shaped, apodized, and excited ultrasound transducers. IEEE Trans Ultrason Ferroelectr Freq Control, 1992, 39(2): 262-267.
26. Jensen J A. FIELD: A program for simulating ultrasound systems. Med Biol Eng Comput, 1996, 34(1): 351-352.

Journal of Biomedical Engineering

Comparison of wall filter algorithms for ultrasonic microvascular imaging

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