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Statistical Shape Model Construction of Lumbar Vertebrae and Intervertebral Discs in Segmentation for Discectomy Surgery Simulation

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Computational Methods and Clinical Applications for Spine Imaging (CSI 2015)

Abstract

Discectomy procedure simulations require patient-specific and robust three-dimensional representation of vertebral and intervertebral disc structures, as well as existing pathology, of the lumbar spine. Prior knowledge, such as expected shape and variation within a sample population, can be incorporated through statistical shape models to optimize the image segmentation process. This paper describes a framework for construction of statistical shape models (SSMs) of nine L1 vertebrae and eight L1-L2 intervertebral discs from computed tomography and magnetic resonance (MR) images respectively. The generated SSMs are utilized as a reference for knowledge-based priors to optimize coarse-to-fine multi-surface segmentation of vertebrae and intervertebral discs in volumetric MR images. Correspondence between instances within each model has been established using entropy-based energy minimization of particles on the image surfaces, which is independent of any reference bias or surface parameterization techniques. The resulting shape models faithfully capture variability within the first seven principal modes.

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Notes

  1. 1.

    http://www.sci.utah.edu/software/shapeworks.html.

References

  1. Luoma, K., Riihimäki, H., Luukkonen, R., Raininko, R., Viikari-Juntura, E., Lamminen, A.: Low back pain in relation to lumbar disc degeneration. Spine 25(4), 487–492 (2000)

    Article  Google Scholar 

  2. Global Burden of Disease Study: Global, regional, and national incidence, prevalence, and years lived with disability for 301 acute and chronic diseases and injuries in 188 countries, 1990–2013: a systematic analysis for the Global Burden of Disease Study 2013. Lancet 386(9995), pp. 743–800 (2015)

    Google Scholar 

  3. Freemont, A., Watkins, A., Le Maitre, C., Jeziorska, M., Hoyland, J.: Current understanding of cellular and molecular events in intervertebral disc degeneration: implications for therapy. J. Pathol. 196(4), 374–379 (2002)

    Article  Google Scholar 

  4. Atlas, S., Deyo, R.: Evaluating and managing acute low back pain in the primary care setting. J. Gen. Intern. Med. 16(2), 120–131 (2001)

    Article  Google Scholar 

  5. An, H., Anderson, P., Haughton, V., Iatridis, J., Kang, J., Lotz, J., Natarajan, R., Oegema Jr., T., Roughley, P., Setton, L., Urban, J., Videman, T., Andersson, G., Weinstein, J.: Introduction: disc degeneration: summary. Spine 29(23), 2677–2678 (2004)

    Article  Google Scholar 

  6. Haq, R., Aras, R., Besachio, D., Borgie, R., Audette, M.: 3D lumbar spine intervertebral disc segmentation and compression simulation from MRI using shape-aware models. Int. J. Comput. Assist. Radiol. Surg. 10(1), 45–54 (2015)

    Article  Google Scholar 

  7. Cates, J., Fletcher, P., Whitaker, R.: Entropy-based particle systems for shape correspondence. In: Pennec, X., Joshi, S. (eds.) Proceedings of MICCAI Workshop on Mathematical Foundations of Computational Anatomy, MFCA 2006, pp. 90–99 (2006)

    Google Scholar 

  8. Datar, M., Cates, J., Fletcher, P.T., Gouttard, S., Gerig, G., Whitaker, R.: Particle based shape regression of open surfaces with applications to developmental neuroimaging. In: Yang, G.Z., Hawkes, D., Rueckert, D., Noble, A., Taylor, C. (eds.) MICCAI 2009, Part II. LNCS, vol. 5762, pp. 167–174. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  9. Harris, M., Datar, M., Whitaker, R., Jurrus, E., Peters, C., Anderson, A.: Statistical shape modeling of cam femoroacetabular impingement. J. Orthop. Res. 31(10), 1620–1626 (2013)

    Article  Google Scholar 

  10. Ibragimov, B., Likar, B., Pernuš, F., Vrtovec, T.: Shape representation for efficient landmark-based segmentation in 3-D. IEEE Trans. Med. Imaging 33(4), 861–874 (2014)

    Article  Google Scholar 

  11. Chen, C., Belavy, D., Zheng, G.: 3D intervertebral disc localization and segmentation from MR images by data-driven regression and classification. In: Wu, G., Zhang, D., Zhou, L. (eds.) MLMI 2014. LNCS, vol. 8679, pp. 50–58. Springer, Heidelberg (2014)

    Google Scholar 

  12. Dryden, I., Mardia, K.: Statistical Shape Analysis. Wiley, New York (1998)

    MATH  Google Scholar 

  13. Heimann, T., Meinzer, H.: Statistical shape models for 3D medical image segmentation: a review. Med. Image Anal. 13(4), 543–563 (2009)

    Article  Google Scholar 

  14. Styner, M.A., Rajamani, K.T., Nolte, L.P., Zsemlye, G., Székely, G., Taylor, C.J., Davies, R.H.: Evaluation of 3D correspondence methods for model building. In: Taylor, C.J., Noble, J.A. (eds.) IPMI 2003. LNCS, vol. 2732, pp. 63–75. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  15. Davies, R., Twining, C., Cootes, T., Waterton, J., Taylor, C.: A minimum description length approach to statistical shape modeling. IEEE Trans. Med. Imaging 21(5), 525–537 (2002)

    Article  MATH  Google Scholar 

  16. Ma, J., Lu, L., Zhan, Y., Zhou, X., Salganicoff, M., Krishnan, A.: Hierarchical segmentation and identification of thoracic vertebra using learning-based edge detection and coarse-to-fine deformable model. In: Jiang, T., Navab, N., Pluim, J.P.W., Viergever, M.A. (eds.) MICCAI 2010, Part I. LNCS, vol. 6361, pp. 19–27. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  17. Clogenson, M., Duff, J., Luethi, M., Levivier, M., Meuli, R., Baur, C., Henein, S.: A statistical shape model of the human second cervical vertebra. Int. J. Comput. Assist. Radiol. Surg. 10(7), 1097–1107 (2015)

    Article  Google Scholar 

  18. Rasoulian, A., Rohling, R., Abolmaesumi, P.: Group-wise registration of point sets for statistical shape models. IEEE Trans. Med. Imaging 31(11), 2025–2034 (2012)

    Article  Google Scholar 

  19. Hufnagel, H., Pennec, X., Ehrhardt, J., Ayache, N., Handels, H.: Generation of a statistical shape model with probabilistic point correspondences and the expectation maximization-iterative closest point algorithm. Int. J. Comput. Assist. Radiol. Surg. 2(5), 265–273 (2008)

    Article  Google Scholar 

  20. Mutsvangwa, T., Schwartz, C., Roux, C.: An automated statistical shape model developmental pipeline: application to the human scapula and humerus. IEEE Trans. Biomed. Eng. 62(4), 1098–1107 (2015)

    Article  Google Scholar 

  21. Vrtovec, T., Tomaževič, D., Likar, B., Travnik, L., Pernuš, F.: Automated construction of 3D statistical shape models. Image Anal. Stereol. 23(2), 111–120 (2004)

    Article  Google Scholar 

  22. Kaus, M., Pekar, V., Lorenz, C., Truyen, R., Lobergt, S., Wesse, J.: Automated 3-D PDM construction from segmented images using deformable models. IEEE Trans. Med. Imaging 22(8), 1005–1013 (2003)

    Article  Google Scholar 

  23. Lorenz, C., Krahnstover, N.: Generation of point-based 3D statistical shape models for anatomical objects. Comput. Vis. Image Underst. 77(2), 175–191 (2000)

    Article  Google Scholar 

  24. Becker, M., Kirschner, M., Fuhrmann, S., Wesarg, S.: Automatic construction of statistical shape models for vertebrae. In: Fichtinger, G., Martel, A., Peters, T. (eds.) MICCAI 2011, Part II. LNCS, vol. 6892, pp. 500–507. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  25. Heitz, G., Rohlfing, T., Maurer Jr., C.: Statistical shape model generation using nonrigid deformation of a template mesh. In: Fitzpatrick, J., Reinhardt, J. (eds.) Proceedings of SPIE Medical Imaging 2005: Image Processing Conference, SPIE Proceedings, vol. 5747, pp. 1411–1421. SPIE (2005)

    Google Scholar 

  26. Peloquin, J., Yoder, J., Jacobs, N., Moon, S., Wright, A., Vresilovic, E., Elliott, D.: Human L3L4 intervetebral disc mean 3D shape, modes of variation, and their relationship to degeneration. J. Biomech. 47(10), 2452–2459 (2014)

    Article  Google Scholar 

  27. Cates, J.E., Fletcher, P.T., Styner, M.A., Hazlett, H.C., Whitaker, R.T.: Particle-based shape analysis of multi-object complexes. In: Metaxas, D., Axel, L., Fichtinger, G., Székely, G. (eds.) MICCAI 2008, Part I. LNCS, vol. 5241, pp. 477–485. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  28. Gower, J.: Generalized procrustes analysis. Psychometrika 40(1), 33–51 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  29. Kendall, D.: The diffusion of shape. Adv. Appl. Probab. 9(3), 428–430 (1977)

    Article  Google Scholar 

  30. Cootes, T., Taylor, C., Cooper, D., Graham, J.: Training models of shape from sets of examples. In: Proceedings of 1992 British Machine Vision Conference, BMVC 1992, pp. 9–18. BMVA Press (1992)

    Google Scholar 

  31. Gilles, B., Magnenat-Thalmann, N.: Musculoskeletal MRI segmentation using multi-resolution simplex meshes with medial representations. Med. Image Anal. 14(3), 291–302 (2010)

    Article  Google Scholar 

  32. Delingette, H.: General object reconstruction based on simplex meshes. Int. J. Comput. Vis. 32(2), 111–146 (1999)

    Article  Google Scholar 

  33. Schmid, J., Kim, J., Magnenat-Thalmann, N.: Robust statistical shape models for MRI bone segmentation in presence of small field of view. Med. Image Anal. 15(1), 155–168 (2011)

    Article  Google Scholar 

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Correspondence to Rabia Haq .

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Haq, R., Cates, J., Besachio, D.A., Borgie, R.C., Audette, M.A. (2016). Statistical Shape Model Construction of Lumbar Vertebrae and Intervertebral Discs in Segmentation for Discectomy Surgery Simulation. In: Vrtovec, T., et al. Computational Methods and Clinical Applications for Spine Imaging. CSI 2015. Lecture Notes in Computer Science(), vol 9402. Springer, Cham. https://doi.org/10.1007/978-3-319-41827-8_8

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  • DOI: https://doi.org/10.1007/978-3-319-41827-8_8

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