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Longitudinal Scoliotic Trunk Analysis via Spectral Representation and Statistical Analysis

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Book cover Spectral and Shape Analysis in Medical Imaging (SeSAMI 2016)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 10126))

Abstract

Scoliosis is a complex 3D deformation of the spine leading to asymmetry of the external shape of the human trunk. A clinical follow-up of this deformation is decisive for its treatment, which depends on the spinal curvature but also on the deformity’s progression over time. This paper presents a new method for longitudinal analysis of scoliotic trunks based on spectral representation of shapes combined with statistical analysis. The spectrum of the surface model is used to compute the correspondence between deformable scoliotic trunks. Spectral correspondence is combined with Canonical Correlation Analysis to do point-wise feature comparison between models. This novel combination allows us to efficiently capture within-subject shape changes to assess scoliosis progression (SP). We tested our method on 23 scoliotic patients with right thoracic curvature. Quantitative comparison with spinal measurements confirms that our method is able to identify significant changes associated with SP.

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Notes

  1. 1.

    The Radial Basis Functions (RBF) algorithm [6] is used to interpolate incomplete trunk meshes and to enforce mesh connectivity.

References

  1. Adankon, M.M., Chihab, N., Dansereau, J., Labelle, H., Cheriet, F.: Scoliosis follow-up using noninvasive trunk surface acquisition. IEEE Trans. Biomed. Eng. 60(8), 2262–2270 (2013)

    Article  Google Scholar 

  2. Ahmad, O., Collet, C.: Scale-space spatio-temporal random fields: application to the detection of growing microbial patterns from surface roughness. Pattern Recogn. 58, 27–38 (2016)

    Article  Google Scholar 

  3. Ajemba, P.O., Durdle, N.G., Raso, V.J.: Characterizing torso shape deformity in scoliosis using structured splines models. IEEE Trans. Biomed. Eng. 56(6), 1652–1662 (2009)

    Article  Google Scholar 

  4. Belkin, M., Niyogi, P.: Laplacian eigenmaps for dimensionality reduction and data representation. Neural Comput. 15(6), 1373–1396 (2003)

    Article  MATH  Google Scholar 

  5. Buchanan, R., Birch, J.G., Morton, A.A., Browne, R.H.: Do you see what I see? Looking at scoliosis surgical outcomes through orthopedists’ eyes. Spine 28(24), 2700–2704 (2003). discussion 2705

    Article  Google Scholar 

  6. Carr, J.C., Beatson, R.K., Cherrie, J.B., Mitchell, T.J., Fright, W.R., McCallum, B.C., Evans, T.R.: Reconstruction and representation of 3D objects with radial basis functions. In: Proceedings of the 28th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 2001, pp. 67–76. ACM, New York (2001)

    Google Scholar 

  7. Cobb, J.R.: Outline for the study of scoliosis. Am. Acad. Orthop. Surg. Instruct. Lect. 5, 261–275 (1984)

    Google Scholar 

  8. Fischl, B., Sereno, M.I., Tootell, R.B., Dale, A.M.: High-resolution intersubject averaging and a coordinate system for the cortical surface. Hum. Brain Mapp. 8(4), 272–284 (1999)

    Article  Google Scholar 

  9. Grigis, A., Noblet, V., Heitz, F., Blanc, F., de Sèze, J., Kremer, S., Rumbach, L., Armspach, J.P.: Longitudinal change detection in diffusion MRI using multivariate statistical testing on tensors. NeuroImage 60(4), 2206–2221 (2012)

    Article  Google Scholar 

  10. Hackenberg, L., Hierholzer, E., Pötzl, W., Götze, C., Liljenqvist, U.: Rasterstereographic back shape analysis in idiopathic scoliosis after posterior correction and fusion. Clin. Biomech. 18(10), 883–889 (2003)

    Article  Google Scholar 

  11. Hotelling, H.: Relations between two sets of variates. Biometrika XXVIII, 321–377 (1936)

    Article  MATH  Google Scholar 

  12. Jain, V., Zhang, H.: Robust 3D shape correspondence in the spectral domain. In: IEEE International Conference on Shape Modeling and Applications 2006 (SMI 2006), p. 19, June 2006

    Google Scholar 

  13. Lombaert, H., Grady, L., Polimeni, J.R., Cheriet, F.: FOCUSR: feature oriented correspondence using spectral regularization-a method for precise surface matching. IEEE Trans. Pattern Anal. Mach. Intell. 35(9), 2143–2160 (2013)

    Article  Google Scholar 

  14. Lombaert, H., Arcaro, M., Ayache, N.: Brain transfer: spectral analysis of cortical surfaces and functional maps. Inf. Process. Med. Imaging 24, 474–487 (2015)

    Google Scholar 

  15. Lombaert, H., Grady, L., Pennec, X., Ayache, N., Cheriet, F.: Spectral demons- image registration via global spectral correspondence. In: Fitzgibbon, A., Lazebnik, S., Perona, P., Sato, Y., Schmid, C. (eds.) Computer Vision - ECCV 2012. LNCS, vol. 7573, pp. 30–44. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  16. Nielsen, A.: The regularized iteratively reweighted MAD method for change detection in multi- and hyperspectral data. IEEE Trans. Image Process. 16(2), 463–478 (2007)

    Article  MathSciNet  Google Scholar 

  17. Nielsen, A.A., Conradsen, K., Simpson, J.J.: Multivariate alteration detection (MAD) and MAF postprocessing in multispectral, bitemporal image data: new approaches to change detection studies. remote Sens. Environ. 64(1), 1–19 (1998)

    Article  Google Scholar 

  18. Pazos, V., Cheriet, F., Danserau, J., Ronsky, J., Zernicke, R.F., Labelle, H.: Reliability of trunk shape measurements based on 3-D surface reconstructions. Eur. Spine J. 16(11), 1882–1891 (2007)

    Article  Google Scholar 

  19. Reuter, M.: Hierarchical shape segmentation and registration via topological features of laplace-Beltrami eigenfunctions. Int. J. Comput. Vis. 89(2–3), 287–308 (2009)

    Google Scholar 

  20. Reuter, M., Wolter, F.E., Peinecke, N.: Laplace-spectra as fingerprints for shape matching. In: Proceedings of the 2005 ACM Symposium on Solid and Physical Modeling, SPM 2005, pp. 101–106. ACM, New York (2005)

    Google Scholar 

  21. Richards, B.S., Bernstein, R.M., D’Amato, C.R., Thompson, G.H.: Standardization of criteria for adolescent idiopathic scoliosis brace studies: SRS committee on bracing and nonoperative management. Spine 30(18), 2068–2075 (2005). Discussion 2076–2077

    Article  Google Scholar 

  22. Seoud, L., Dansereau, J., Labelle, H., Cheriet, F.: Multilevel analysis of trunk surface measurements for noninvasive assessment of scoliosis deformities. Spine 37(17), E1045–E1053 (2012)

    Article  Google Scholar 

  23. Tones, M., Moss, N., Polly, D.W.: A review of quality of life and psychosocial issues in scoliosis. Spine 31(26), 3027–3038 (2006)

    Article  Google Scholar 

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Acknowledgments

This research was funded by the Canadian Institutes of Health Research (grant number MPO 125875). The authors would like to thank Philippe Debanné for revising this paper and the anonymous reviewers for their insightful comments and suggestions.

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Correspondence to Ola Ahmad .

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Ahmad, O., Lombaert, H., Parent, S., Labelle, H., Dansereau, J., Cheriet, F. (2016). Longitudinal Scoliotic Trunk Analysis via Spectral Representation and Statistical Analysis. In: Reuter, M., Wachinger, C., Lombaert, H. (eds) Spectral and Shape Analysis in Medical Imaging. SeSAMI 2016. Lecture Notes in Computer Science(), vol 10126. Springer, Cham. https://doi.org/10.1007/978-3-319-51237-2_7

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  • DOI: https://doi.org/10.1007/978-3-319-51237-2_7

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