Skip to main content

Advertisement

SpringerLink
Log in
Menu
Find a journal Publish with us
Search
Cart
Book cover

International Conference on Medical Image Computing and Computer-Assisted Intervention

MICCAI 2012: Medical Image Computing and Computer-Assisted Intervention – MICCAI 2012 pp 49–56Cite as

  1. Home
  2. Medical Image Computing and Computer-Assisted Intervention – MICCAI 2012
  3. Conference paper
Temporal Shape Analysis via the Spectral Signature

Temporal Shape Analysis via the Spectral Signature

  • Elena Bernardis19,
  • Ender Konukoglu20,
  • Yangming Ou19,
  • Dimitris N. Metaxas21,
  • Benoit Desjardins19 &
  • …
  • Kilian M. Pohl19 
  • Conference paper
  • 4036 Accesses

  • 3 Citations

Part of the Lecture Notes in Computer Science book series (LNIP,volume 7511)

Abstract

In this paper, we adapt spectral signatures for capturing morphological changes over time. Advanced techniques for capturing temporal shape changes frequently rely on first registering the sequence of shapes and then analyzing the corresponding set of high dimensional deformation maps. Instead, we propose a simple encoding motivated by the observation that small shape deformations lead to minor refinements in the spectral signature composed of the eigenvalues of the Laplace operator. The proposed encoding does not require registration, since spectral signatures are invariant to pose changes. We apply our representation to the shapes of the ventricles extracted from 22 cine MR scans of healthy controls and Tetralogy of Fallot patients. We then measure the accuracy score of our encoding by training a linear classifier, which outperforms the same classifier based on volumetric measurements.

Keywords

  • Laplace Operator
  • Spectral Signature
  • Accuracy Score
  • Volumetric Measurement
  • Dimensionality Reduction Method

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Download conference paper PDF

References

  1. Ardekani, S., Weiss, R.G., Lardo, A.C., George, R.T., Lima, J.A.C., Wu, K.C., Miller, M.I., Winslow, R.L., Younes, L.: Cardiac motion analysis in ischemic and non-ischemic cardiomyopathy using parallel transport. In: ISBI, pp. 899–902 (2009)

    Google Scholar 

  2. Beg, M.F., Helm, P.A., Mcveigh, E., Miller, M.I., Winslow, R.L.: Computational cardiac anatomy using MRI. Magnetic Resonance in Medicine (2004)

    Google Scholar 

  3. Wang, X., Chen, T., Zhang, S., Metaxas, D., Axel, L.: LV Motion and Strain Computation from tMRI Based on Meshless Deformable Models. In: Metaxas, D., Axel, L., Fichtinger, G., Székely, G. (eds.) MICCAI 2008, Part I. LNCS, vol. 5241, pp. 636–644. Springer, Heidelberg (2008)

    CrossRef  Google Scholar 

  4. Helm, P., Beg, M.F., Miller, M.I., Winslow, R.L.: Measuring and mapping cardiac fiber and laminar architecture using diffusion tensor mr imaging. Annals of the New York Academy of Sciences 1047(1), 296–307 (2005)

    CrossRef  Google Scholar 

  5. Mansi, T., Durrleman, S., Bernhardt, B., Sermesant, M., Delingette, H., Voigt, I., Lurz, P., Taylor, A.M., Blanc, J., Boudjemline, Y., Pennec, X., Ayache, N.: A Statistical Model of Right Ventricle in Tetralogy of Fallot for Prediction of Remodelling and Therapy Planning. In: Yang, G.-Z., Hawkes, D., Rueckert, D., Noble, A., Taylor, C. (eds.) MICCAI 2009, Part I. LNCS, vol. 5761, pp. 214–221. Springer, Heidelberg (2009)

    CrossRef  Google Scholar 

  6. Reuter, M., Niethammer, M., Wolter, F.-E., Bouix, S., Shenton, M.: Global medical shape analysis using the volumetric laplace spectrum. In: Proceedings of the 2007 International Conference on Cyberworlds, NASA-GEM Workshop, pp. 417–426. IEEE Computer Society, Los Alamitos (2007)

    Google Scholar 

  7. Reuter, M.: Laplace Spectra for Shape Recognition. Books on Demand GmbH (2006)

    Google Scholar 

  8. Niethammer, M., Reuter, M., Wolter, F.-E., Bouix, S., Peinecke, N., Koo, M.-S., Shenton, M.E.: Global Medical Shape Analysis Using the Laplace-Beltrami Spectrum. In: Ayache, N., Ourselin, S., Maeder, A. (eds.) MICCAI 2007, Part I. LNCS, vol. 4791, pp. 850–857. Springer, Heidelberg (2007)

    CrossRef  Google Scholar 

  9. Weyl, H.: Das asymptotische verteilungsgesetz der eigenwerte linearer partieller differentialgleichungen. Math Ann., 441–469 (1912)

    Google Scholar 

  10. Kac, M.: Can one hear the shape of a drum? The American Mathematical Monthly 73(7), 1–23 (1966)

    CrossRef  MATH  Google Scholar 

  11. Courant, R., Hilbert, D.: Method of Mathematical Physics, vol. I. Interscience Publishers (1966)

    Google Scholar 

  12. Reuter, M., Wolter, F.E., Peinecke, N.: Laplace-Beltrami spectra as ’Shape-DNA’ of surfaces and solids. Computer-Aided Design 38, 342–366 (2006)

    CrossRef  Google Scholar 

  13. Protter, M.: Can one hear the shape of a drum? Revisited. SIAM Review 29(2), 185–197 (1987)

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. Lee, D.D., Seung, H.S.: Algorithms for non-negative matrix factorization. In: NIPS, pp. 556–562 (2000)

    Google Scholar 

  15. Heiberg, E., Sjogren, J., Ugander, M., Carlsson, M., Engblom, H., Arheden, H.: Design and validation of segment - freely available software for cardiovascular image analysis. BMC Medical Imaging 10(1), 1 (2010)

    CrossRef  Google Scholar 

  16. Ou, Y., Sotiras, A., Paragios, N., Davatzikos, C.: Dramms: Deformable registration via attribute matching and mutual-saliency weighting. Medical Image Analysis 15(4), 622–639 (2011)

    CrossRef  Google Scholar 

  17. Burges, C.J.C.: A tutorial on support vector machines for pattern recognition. Data Mining and Knowledge Discovery 2, 121–167 (1998)

    CrossRef  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Radiology, University of Pennsylvania, Philadelphia, PA, 19104, USA

    Elena Bernardis, Yangming Ou, Benoit Desjardins & Kilian M. Pohl

  2. Microsoft Research, Cambridge, CB3 0FB, UK

    Ender Konukoglu

  3. Dept. of Computer Science, Rutgers University, Piscataway, NJ, 08854, USA

    Dimitris N. Metaxas

Authors
  1. Elena Bernardis
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ender Konukoglu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yangming Ou
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Dimitris N. Metaxas
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Benoit Desjardins
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Kilian M. Pohl
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Project Team Asclepios, Inria Sophia Antipolis, 06902, Sophia-Antipolis, France

    Nicholas Ayache & Hervé Delingette & 

  2. MIT, CSAIL, 02139, Cambridge, MA, USA

    Polina Golland

  3. Information and Communication Headquarters, Nagoya University, 464-8603, Nagoya, Japan

    Kensaku Mori

Rights and permissions

Reprints and Permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bernardis, E., Konukoglu, E., Ou, Y., Metaxas, D.N., Desjardins, B., Pohl, K.M. (2012). Temporal Shape Analysis via the Spectral Signature. In: Ayache, N., Delingette, H., Golland, P., Mori, K. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2012. MICCAI 2012. Lecture Notes in Computer Science, vol 7511. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33418-4_7

Download citation

  • .RIS
  • .ENW
  • .BIB
  • DOI: https://doi.org/10.1007/978-3-642-33418-4_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33417-7

  • Online ISBN: 978-3-642-33418-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Share this paper

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Search

Navigation

  • Find a journal
  • Publish with us

Discover content

  • Journals A-Z
  • Books A-Z

Publish with us

  • Publish your research
  • Open access publishing

Products and services

  • Our products
  • Librarians
  • Societies
  • Partners and advertisers

Our imprints

  • Springer
  • Nature Portfolio
  • BMC
  • Palgrave Macmillan
  • Apress
  • Your US state privacy rights
  • Accessibility statement
  • Terms and conditions
  • Privacy policy
  • Help and support

167.114.118.210

Not affiliated

Springer Nature

© 2023 Springer Nature