Abstract
We present an automatic pipeline for spectral shape analysis of brain subcortical hippocampal structures with the aim to improve the Alzheimer’s Disease (AD) detection rate for early diagnosis. The hippocampus is previously segmented from volumetric T1-weighted Magnetic Resonance Images (MRI) and then it is modelled as a triangle mesh (Fang and Boas, Proceedings of IEEE international symposium on biomedical imaging, pp 1142–1145, 2009) on which the spectrum of the Laplace-Beltrami (LB) operator is computed via a finite element method (Lai, Computational differential geometry and intrinsic surface processing. Doctoral dissertation. University of California, 2010). A fixed number of eigenpairs is used to compute, following (Li and Ben Hamza, Multimed Syst 20(3):253–281, 2014), three different shape descriptors at each vertex of the mesh, which are the heat kernel signature (HKS), the scale-invariant heat kernel signature (SIHKS) and the wave kernel signature (WKS). Each of these descriptors is used separately in a Bag-of-Features (BoF) framework. In this preliminary study we report on the implementation of the proposed descriptors using ADNI (adni.loni.usc.edu), and DEMCAM (T1-weighted MR images acquired on a GE Healthcare Signa HDX 3T scanner) datasets. We show that the best quality of the DEMCAM dataset images have a great impact on the AD rate of detection which can reach up to 95 %. For further development of the modelling approach, local deformation analysis is also considered through a spectral segmentation of the hippocampal structure.
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Notes
- 1.
Data used in preparation of this article were obtained from the Alzheimer’s Disease Neuroimaging Initiative (ADNI) database (adni.loni.usc.edu). As such, the investigators within the ADNI contributed to the design and implementation of ADNI and/or provided data but did not participate in analysis or writing of this report. A complete listing of ADNI investigators can be found at: http://adni.loni.usc.edu/wp-content/uploads/how__to__apply/ADNI__Acknowledgement__List.pdf
References
Aguilar, C., Muehlboeck, J.S., Mecocci, P., Velles, B., Tsolaki, M., Kloszewka, I., et al.: Application of a MRI based severity index of longitudinal atrophy change in Alzheimer’s disease mild cognitive impairment and healthy older individuals in the AddNeuroMed cohort. Front. Aging Neorosci. 6 (145) (2014)
Aubry, M., Schlickewei, U., Cremers, D.: Pose-consistent 3D shape segmentation based on a quantum mechanical feature descriptor. Pattern Recognition, pp. 122–131. Springer, Heidelberg (2011)
Bronstein, M.M., Kokkinos, I.: Scale-invariant heat kernel signatures for non-rigid shape recognition. In: Proceedings of the CVPR (2010)
Castellani, U., Mirtuono, P., Murino, V., Bellani, M., Rambaldelli, G., Tansella, M., Brambilla, P.: A new shape diffusion descriptor for brain classification. In: Medical Image Computing and Computer-Assisted Interventional MICCAI, pp. 426–433. Springer, Heidelberg (2011)
Fang, Q., Boas, D.: Tetrahedral mesh generation from volumetric binary and gray-scale images. In: Proceedings of IEEE International Symposium on Biomedical Imaging, pp. 1142–1145 (2009)
Galiano, G., Velasco, J.: Neighborhood filters and the decreasing rearrangement. J. Math. Imaging Vis. 51(2), 279–295 (2015)
Gallot, S., Hulin, D., Lafontaine, J.: Riemannian Geometry. Springer, Berlin/Heidelberg (2004)
Gerig, G., Styner, M., Jones, D., Weinberger, D., Lieberman, J.: Shape analysis of brain ventricles using SPHARM. In: Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA’01), p. 171. IEEE Computer Society (2001)
Kacem, A., Mohamed, W., Ben Hamza, A.: Spectral Geometric Descriptor for Deformable 3D Shape Matching and Retrieval, Image Analysis and Recognition. Lecture Notes in Computer Science, vol. 7950, pp. 181–188. Springer, Berlin (2013). http://dx.doi.org/10.1007/978-3-642-39094-4-21
Lai, R.: Computational differential geometry and intrinsic surface processing. Doctoral dissertation. University of California (2010)
Li, C., Ben Hamza, A.: Spatially aggregating spectral descriptors for nonrigid 3d shape retrieval: a comparative survey. Multimedia Syst. 20 (3), 253–281 (2014)
MacQueen, J.: Some methods for classification and analysis of multivariate observations. In: Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, pp. 281–297 (1967)
Nowak, E., Jurie, F., Triggs, B.: Sampling strategies for bag-of-features image classification. In: Computer Vision ECCV, pp. 490–503. Springer, Heidelberg (2006)
Raviv, D., Bronstein, M.M., Bronstein, A.M., Kimmel, R.: Volumetric heat kernel signatures. In: Proceedings of the ACM Workshop on 3D Object Retrieval, pp. 39–44. ACM, New York (2010)
Seo, S., Chung, M.K., Vorperian, H.K.: Heat kernel smoothing using Laplace-Beltrami eigenfunctions. In: Medical Image Computing and Computer-Assisted Intervention-MICCAI, pp. 505–512. Springer, Heidelberg (2010)
Shen, K., Fripp, J., Mériandeau, F., Chételat, G., Salvado, O., Bourgeaut, P., Alzheimer’s Disease NeuroImaging Initiative: Detecting global and local hippocampal shape changes in Alzheimer’s disease using statistical shape models. NeuroImage 59, 2155–2166 (2012). http://dx.doi.org/10.1016/j.media.2011.10.014
Suzuki, K., Wang, F., Shen, D., Yan, P. (eds.): Machine learning in medical imaging. In: Second International Workshop MLMI 2011, Held in Conjunction with MICCAI, Toronto, Canada, Sep 2011 Proceedings. Lecture Notes in Computer Science, vol. 7009 (2011)
Teipei, S.J., Born, C., Ewers, M., Bokde, A.L., Reise, M.F., et al.: Multivariate deformation-based analysis of the brain atrophy to predict Alzheimer’s disease in mild cognitive impairment. NeuroImage 38 (1), 13–24 (2007)
Wang, G., Zhang, X., Su, Q., Shi, J., Caselli, R.J., Wang, Y., for the Alzheimer’s Disease NeuroImaging Initiative: A novel cortical thickness estimation method based on volumetric Laplace-Beltrami operator and heat kernel. Med. Image Anal. 22, 1–20 (2015). http://dx.doi.org/10.1016/j.media.2015.01.005
Acknowledgements
The second and last two authors would like to thank Ministerio de Economía y Competitividad de España for supporting Project TEC2012-39095-C03-02. Data used in preparation of this article were obtained from the Alzheimer’s Disease Neuroimaging Initiative (ADNI) database and from the Hospital Fundación Reina Sofía, Madrid, Spain (DEMCAM dataset).
ADNI data: This project was funded by the Alzheimer’s Disease Neuroimaging Initiative (ADNI; NIH Grant U01 AG024904; Principal Investigator: Michael Weiner). ADNI is funded by the National Institute on Aging, the National Institute of Biomedical Imaging and Bioengineering, and through generous contributions from the following: AbbVie, Alzheimer’s Association; Alzheimer’s Drug Discovery Foundation; Araclon Biotech; BioClinica, Inc.; Biogen; Bristol-Myers Squibb Company; CereSpir, Inc.; Eisai Inc.; Elan Pharmaceuticals, Inc.; Eli Lilly and Company; EuroImmun; F. Hoffmann-La Roche Ltd and its affiliated company Genentech, Inc.; Fujirebio; GE Healthcare; IXICO Ltd.; Janssen Alzheimer Immunotherapy Research & Development, LLC.; Johnson & Johnson Pharmaceutical Research & Development LLC.; Lumosity; Lundbeck; Merck & Co., Inc.; Meso Scale Diagnostics, LLC.; NeuroRx Research; Neurotrack Technologies; Novartis Pharmaceuticals Corporation; Pfizer Inc.; Piramal Imaging; Servier; Takeda Pharmaceutical Company; and Transition Therapeutics. The Canadian Institutes of Health Research is providing funds to support ADNI clinical sites in Canada. Industry contributions are facilitated by the Foundation for the National Institutes of Health (www.fnih.org). The grantee organization is the Northern California Institute for Research and Education, and the study is coordinated by the Alzheimer’s Disease Cooperative Study at the University of California, San Diego. ADNI data are disseminated by the Laboratory for Neuro Imaging at the University of Southern California.
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Maicas, G., Muñoz, A.I., Galiano, G., Hamza, A.B., Schiavi, E., for the Alzheimer’s Disease Neuroimaging Initiative. (2016). Spectral Shape Analysis of the Hippocampal Structure for Alzheimer’s Disease Diagnosis. In: Ortegón Gallego, F., Redondo Neble, M., Rodríguez Galván, J. (eds) Trends in Differential Equations and Applications. SEMA SIMAI Springer Series, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-319-32013-7_2
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