Abstract
This paper proposes to use the Laplace-Beltrami spectrum (LBS) as a global shape descriptor for medical shape analysis, allowing for shape comparisons using minimal shape preprocessing: no registration, mapping, or remeshing is necessary. The discriminatory power of the method is tested on a population of female caudate shapes of normal control subjects and of subjects with schizotypal personality disorder.
Chapter PDF
Similar content being viewed by others
Keywords
- Riemannian Manifold
- Normal Control Subject
- Schizotypal Personality Disorder
- Global Medical
- Surface Area Normalization
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.
References
Styner, M., Oguz, I., Xu, S., Brechbühler, C., Pantazis, D., Levitt, J.J., Shenton, M.E., Gerig, G.: Framework for the statistical shape analysis of brain structures using SPHARM-PDM. In: Open Science Workshop at MICCAI (2006)
Nain, D., Styner, M., Niethammer, M., Levitt, J.J., Shenton, M.E., Gerig, G., Bobick, A., Tannenbaum, A.: Statistical shape analysis of brain structures using spherical wavelets. In: ISBI (2007)
Reuter, M., Wolter, F.E., Peinecke, N.: Laplace-Beltrami spectra as ”Shape-DNA” of surfaces and solids. Computer-Aided Design 38(4), 342–366 (2006)
Reuter, M.: Laplace Spectra for Shape Recognition. Books on Demand (2006)
Mangin, J.F., Poupon, F., Duchesnay, E., Riviere, D., Cachia, A., Collins, D.L., Evans, A.C., Regis, J.: Brain morphometry using 3D moment invariants. Medical Image Analysis 8, 187–196 (2004)
Levitt, J.J., Westin, C.-F., Nestor, P.G., Estepar, R.S.J., Dickey, C.C., Voglmaier, M.M., Seidman, L.J., Kikinis, R., Jolesz, F.A., McCarley, R.W., Shenton, M.E.: Shape of the caudate nucleus and its cognitive correlates in neuroleptic-naive schizotypal personality disorder. Biological Psychiatry 55, 177–184 (2004)
Gerig, G., Styner, M., Jones, D., Weinberger, D., Lieberman, J.: Shape analysis of brain ventricles using SPHARM. In: MMBIA Workshop, pp. 171–178 (2001)
Reuter, M., Wolter, F.-E., Peinecke, N.: Laplace-spectra as fingerprints for shape matching. In: SPM 2005: ACM Symposium on Solid and Physical Modeling, pp. 101–106. ACM Press, New York (2005)
Wolter, F.E., Friese, K.: Local and global geometric methods for analysis, interrogation, reconstruction, modification and design of shape. In: CGI 2000, pp. 137–151 (2000)
Courant, R., Hilbert, D.: Methods of Mathematical Physics. Interscience (1953)
Good, P.: Permutation, Parametric, and Bootstrap Tests of Hypotheses, 3rd edn. Springer, Heidelberg (2005)
Genovese, C.R., Lazar, N.A., Nichols, T.: Thresholding of statistical maps in functional neuroimaging using the false discovery rate. Neuroimage 15, 870–878 (2002)
Min-Seong, K., Levitt, J., McCarley, R.W., Seidman, L.J., Dickey, C.C., Niznikiewicz, M.A., Voglmaier, M.M., Zamani, P., Long, K.R., Kim, S.S., Shenton, M.E.: Reduction of caudate nucleus volumes in neuroleptic-naive female subjects with schizotypal personality disorder. Biological Psychiatry 60, 40–48 (2006)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Niethammer, M. et al. (2007). Global Medical Shape Analysis Using the Laplace-Beltrami Spectrum. In: Ayache, N., Ourselin, S., Maeder, A. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2007. MICCAI 2007. Lecture Notes in Computer Science, vol 4791. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75757-3_103
Download citation
DOI: https://doi.org/10.1007/978-3-540-75757-3_103
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-75756-6
Online ISBN: 978-3-540-75757-3
eBook Packages: Computer ScienceComputer Science (R0)