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A Novel Application of Musculoskeletal Ultrasound Imaging
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Stochastic piecewise linear function fitting with application to ultrasound shear wave imaging.

Atul Ingle, Tomy Varghese, William Sethares

    Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference
    |January 9, 2015
    PubMed
    Summary

    This study introduces a new Markov model and algorithm for analyzing noisy piecewise linear data, improving shear wave velocity imaging in ultrasound elastography by accurately estimating slopes and preserving boundary details.

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    Area of Science:

    • Signal Processing
    • Medical Imaging
    • Biophysics

    Background:

    • Piecewise linear function fitting is essential in signal processing.
    • Ultrasound elastography requires accurate shear wave velocity (SWV) imaging.
    • Existing methods can blur important boundary details.

    Purpose of the Study:

    • To develop a discrete state-space Markov model for noisy piecewise linear data.
    • To propose a maximum a posteriori estimation algorithm for segment slopes.
    • To apply and validate the method in ultrasound shear wave velocity imaging.

    Main Methods:

    • A discrete state-space Markov model is presented.
    • A tractable maximum a posteriori estimation algorithm is proposed.
    • The model indirectly handles break points through its stochastic nature.

    Main Results:

    • The algorithm provides accurate slope estimation, interpretable as reciprocal SWV.
    • Demonstrated contrast of 6 dB and CNR of 25 dB in phantom studies.
    • Preserves sharp boundary details, outperforming sliding window least squares filters.

    Conclusions:

    • The proposed Markov model and algorithm are effective for noisy piecewise linear data analysis.
    • This method enhances ultrasound shear wave velocity imaging accuracy and detail preservation.
    • It offers a significant improvement over conventional filtering techniques for elastography applications.