TY - JOUR
T1 - MixTURE
T2 - L1-Norm-Based Mixed Second-Order Continuity in Strain Tensor Ultrasound Elastography
AU - Ashikuzzaman, Md
AU - Sharma, Arunima
AU - Venkatayogi, Nethra
AU - Oluyemi, Eniola
AU - Myers, Kelly
AU - Ambinder, Emily
AU - Rivaz, Hassan
AU - Lediju Bell, Muyinatu A.
N1 - Publisher Copyright:
© 1986-2012 IEEE.
PY - 2024
Y1 - 2024
N2 - Energy-based displacement tracking of ultrasound images can be implemented by optimizing a cost function consisting of a data term, a mechanical congruency term, and first- and second-order continuity terms. This approach recently provided a promising solution to 2-D axial and lateral displacement tracking in ultrasound strain elastography. However, the associated second-order regularizer only considers the unmixed second derivatives and disregards the mixed derivatives, thereby providing suboptimal noise suppression and limiting possibilities for total strain tensor imaging. We propose to improve axial, lateral, axial shear, and lateral shear strain estimation quality by formulating and optimizing a novel {L}1$ -norm-based second-order regularizer that penalizes both mixed and unmixed displacement derivatives. We name the proposed technique {L}1$ -MixTURE, which stands for {L}1$ -norm Mixed derivative for Total UltRasound Elastography. When compared with simulated ground-truth results, the mean structural similarity (MSSIM) obtained with {L}1$ -MixTURE ranged 0.53-0.86 and the mean absolute error (MAE) ranged 0.00053-0.005. In addition, the mean elastographic signal-to-noise ratio (SNR) achieved with simulated, experimental phantom, and in vivo breast datasets ranged 1.87-52.98, and the mean elastographic contrast-to-noise ratio (CNR) ranged 7.40-24.53. When compared with a closely related existing technique that does not consider the mixed derivatives, {L}1$ -MixTURE generally outperformed the MSSIM, MAE, SNR, and CNR by up to 37.96%, 67.82%, and 25.53% in the simulated, experimental phantom, and in vivo datasets, respectively. These results collectively highlight the ability of {L}1$ -MixTURE to deliver highly accurate axial, lateral, axial shear, and lateral shear strain estimates and advance the state-of-the-art in elastography-guided diagnostic and interventional decisions.
AB - Energy-based displacement tracking of ultrasound images can be implemented by optimizing a cost function consisting of a data term, a mechanical congruency term, and first- and second-order continuity terms. This approach recently provided a promising solution to 2-D axial and lateral displacement tracking in ultrasound strain elastography. However, the associated second-order regularizer only considers the unmixed second derivatives and disregards the mixed derivatives, thereby providing suboptimal noise suppression and limiting possibilities for total strain tensor imaging. We propose to improve axial, lateral, axial shear, and lateral shear strain estimation quality by formulating and optimizing a novel {L}1$ -norm-based second-order regularizer that penalizes both mixed and unmixed displacement derivatives. We name the proposed technique {L}1$ -MixTURE, which stands for {L}1$ -norm Mixed derivative for Total UltRasound Elastography. When compared with simulated ground-truth results, the mean structural similarity (MSSIM) obtained with {L}1$ -MixTURE ranged 0.53-0.86 and the mean absolute error (MAE) ranged 0.00053-0.005. In addition, the mean elastographic signal-to-noise ratio (SNR) achieved with simulated, experimental phantom, and in vivo breast datasets ranged 1.87-52.98, and the mean elastographic contrast-to-noise ratio (CNR) ranged 7.40-24.53. When compared with a closely related existing technique that does not consider the mixed derivatives, {L}1$ -MixTURE generally outperformed the MSSIM, MAE, SNR, and CNR by up to 37.96%, 67.82%, and 25.53% in the simulated, experimental phantom, and in vivo datasets, respectively. These results collectively highlight the ability of {L}1$ -MixTURE to deliver highly accurate axial, lateral, axial shear, and lateral shear strain estimates and advance the state-of-the-art in elastography-guided diagnostic and interventional decisions.
KW - Analytic optimization
KW - mixed second-order derivative
KW - regularized tracking
KW - strain tensor imaging
KW - ultrasound elastography
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U2 - 10.1109/TUFFC.2024.3449815
DO - 10.1109/TUFFC.2024.3449815
M3 - Article
C2 - 39186421
AN - SCOPUS:85202709097
SN - 0885-3010
VL - 71
SP - 1389
EP - 1405
JO - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
JF - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
IS - 11
ER -