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Stochastic Model-Based Left Ventricle Segmentation in 3D Echocardiography Using Fractional Brownian Motion

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Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 11395))

Abstract

A novel approach for fully-automated segmentation of the left ventricle (LV) endocardial and epicardial contours is presented. This is mainly based on the natural physical characteristics of the LV shape structure. Both sides of the LV boundaries exhibit natural elliptical curvatures by having details on various scales, i.e. exhibiting fractal-like characteristics. The fractional Brownian motion (fBm), which is a non-stationary stochastic process, integrates well with the stochastic nature of ultrasound echoes. It has the advantage of representing a wide range of non-stationary signals and can quantify statistical local self-similarity throughout the time-sequence ultrasound images. The locally characterized boundaries of the fBm segmented LV were further iteratively refined using global information by means of second-order moments. The method is benchmarked using synthetic 3D echocardiography time-sequence ultrasound images for normal and different ischemic cardiomyopathy, and results compared with state-of-the-art LV segmentation. Furthermore, preliminary results on real data from canine cases is presented.

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References

  1. Frangi, A., Niessen, W., Viergever, M.: Three-dimensional modeling for functional analysis of cardiac images: a review. IEEE Trans. Med. Imaging 20(1), 2–25 (2001)

    Article  Google Scholar 

  2. Carneiro, G., Nascimento, J.C.: Combining multiple dynamic models and deep learning architectures for tracking the left ventricle endocardium in ultrasound data. IEEE Trans. Pattern Anal. Mach. Intell. 35(11), 2592–2607 (2013)

    Article  Google Scholar 

  3. Hansson, M., et al.: Segmentation of B-mode cardiac ultrasound data by Bayesian probability maps. Med. Image Anal. 18(7), 1184–1199 (2014)

    Article  Google Scholar 

  4. Carneiro, G., Nascimento, J.C., Freitas, A.: The segmentation of the left ventricle of the heart from ultrasound data using deep learning architectures and derivative-based search methods. IEEE Trans. Image Process. 21(3), 968–982 (2012)

    Article  MathSciNet  Google Scholar 

  5. Huang, X.J., et al.: Contour tracking in echocardiographic sequences via sparse representation and dictionary learning. Med. Image Anal. 18(2), 253–271 (2014)

    Article  Google Scholar 

  6. Zagrodsky, V., Walimbe, V., et al.: Registration-assisted segmentation of real-time 3-D echocardiographic data using deformable models. IEEE Trans. Med. Imaging 24(9), 1089–1099 (2005)

    Article  Google Scholar 

  7. Barbosa, D., Friboulet, D., D’hooge, J., Bernard, O.: Fast tracking of the left ventricle using global anatomical affine optical flow and local recursive block matching. In: Proceedings of MICCAI CETUS Challenge (2014)

    Google Scholar 

  8. Al-Kadi, O.S., Chung, D.Y.F., et al.: Quantification of ultrasonic texture intra-heterogeneity via volumetric stochastic modeling for tissue characterization. Med. Image Anal. 21(1), 59–71 (2015)

    Article  Google Scholar 

  9. Al-Kadi, O.S.: Fractals for biomedical texture analysis. In: Biomedical Texture Analysis: Fundamentals, Tools and Challenges, pp. 131–161. Academic Press, London (2017)

    Chapter  Google Scholar 

  10. Mandelbrot, B.: Fractals and Chaos: The Mandelbrot Set and Beyond. Springer, New York (2004). https://doi.org/10.1007/978-1-4757-4017-2

    Book  MATH  Google Scholar 

  11. O’Malley, D., Cushman, J.: Two-scale renormalization-group classification of diffusive processes. Phys. Rev. E 86(1), 011126–7 (2012)

    Article  Google Scholar 

  12. Alessandrini, M., Heyde, B., et al.: Detailed evaluation of five 3D speckle tracking tlgorithms using synthetic echocardiographic recordings. IEEE Trans. Med. Imaging 35(8), 1915–1926 (2016)

    Article  Google Scholar 

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Correspondence to Omar S. Al-Kadi .

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Al-Kadi, O.S., Lu, A., Sinusas, A.J., Duncan, J.S. (2019). Stochastic Model-Based Left Ventricle Segmentation in 3D Echocardiography Using Fractional Brownian Motion. In: Pop, M., et al. Statistical Atlases and Computational Models of the Heart. Atrial Segmentation and LV Quantification Challenges. STACOM 2018. Lecture Notes in Computer Science(), vol 11395. Springer, Cham. https://doi.org/10.1007/978-3-030-12029-0_9

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  • DOI: https://doi.org/10.1007/978-3-030-12029-0_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-12028-3

  • Online ISBN: 978-3-030-12029-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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