Abstract
In this work, we present a geometric method to explore the relationship between brain anatomical structure and human intelligence based on conformal welding theory. We first generate the anatomical atlas on the structural MRI data; then, compute the signature for each cortical region by welding the conformal maps of the region and its complement domain along the common boundary, and combine all the region signature as that for the whole brain; and finally, use the signatures for shape visualization and classification using the learning methods. The signature is global, intrinsic to surface and curve geometry, and invariant to conformal transformations; and the computation is efficient through solving sparse linear systems. Experiments on real data set with 243 subjects demonstrate the efficacy of the proposed method and concluded that the conformal welding signature of cortical surface can classify human intelligence with a competitive accuracy rate compared with traditional features.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Ashburner, J., Friston, K.J.: Voxel-based morphometry–the methods. NeuroImage 11(6), 805–821 (2000)
Chawla, N.V., Bowyer, K.W., Hall, L.O., Kegelmeyer, W.P.: SMOTE: synthetic minority over-sampling technique. J. Artif. Intell. Res. 16, 321–357 (2002)
Gardiner, F., Lakic, N.: Quasiconformal Teichmüler Theory. American Mathematical Society, Providence (1999)
Haier, R.J.: Neuro-intelligence, neuro-metrics and the next phase of brain imaging studies. Intelligence 37, 121–123 (2009)
Haier, R.J., Siegel, B., Tang, C., Abel, L., Buchsbaum, M.S.: Intelligence and changes in regional cerebral glucose metabolic rate following learning. Intelligence 16(3–4), 415–426 (1992)
Hunt, E.: Human Intelligence. Cambridge University Press, Cambridge (2010)
Im, K., et al.: Fractal dimension in human cortical surface: multiple regression analysis with cortical thickness, sulcal depth, and folding area. Hum. Brain Mapp. 27(12), 994–1003 (2006)
Jung, R.E., Haier, R.J.: The Parieto-frontal Integration Theory (P-FIT) of intelligence: converging neuroimaging evidence. Behav. Brain Sci. 30(2), 135–154 (2007). discussion 154–187
Karama, S., et al.: Erratum to “positive association between cognitive ability and cortical thickness in a representative us sample of healthy 6 to 18 year-olds”. Intelligence 37(4), 432–442 (2009)
Kingma, D.P., Welling, M.: Auto-encoding variational Bayes. arXiv preprint: arXiv:1312.6114 (2013)
Luders, E., et al.: Mapping the relationship between cortical convolution and intelligence: effects of gender. Cereb. Cortex 18(9), 2019–2026 (2007)
Luders, E., et al.: Positive correlations between corpus callosum thickness and intelligence. Neuroimage 37(4), 1457–1464 (2007)
Lui, L.M., Zeng, W., Yau, S.-T., Gu, X.: Shape analysis of planar multiply-connected objects using conformal welding. IEEE Trans. Pattern Anal. Mach. Intell. (TPAMI) 36(7), 1384–1401 (2014)
Narr, K.L., et al.: Relationships between IQ and regional cortical gray matter thickness in healthy adults. Cereb. Cortex 17(9), 2163–2171 (2006)
Raven, J., Raven, J.C., Court, J.H.: Raven Manual: Section 4, Advanced Progressive Matrices. Oxford Psychologists Press Ltd., Oxford (1998)
Reuter, M., Rosas, H.D., Fischl, B.: Highly accurate inverse consistent registration: a robust approach. NeuroImage 53(4), 1181–1196 (2010)
Reuter, M., Schmansky, N.J., Rosas, H.D., Fischl, B.: Within-subject template estimation for unbiased longitudinal image analysis. NeuroImage 61(4), 1402–1418 (2012)
Roffo, G., Melzi, S., Castellani, U., Vinciarelli, A.: Infinite latent feature selection: a probabilistic latent graph-based ranking approach. In: The IEEE International Conference on Computer Vision (ICCV), October 2017
Rousseeuw, P.J.: Silhouettes: a graphical aid to the interpretation and validation of cluster analysis. J. Comput. Appl. Math. 20, 53–65 (1987)
Sharon, E., Mumford, D.: 2D-shape analysis using conformal mapping. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 350–357 (2004)
Shaw, P., et al.: Intellectual ability and cortical development in children and adolescents. Nature 440(7084), 676 (2006)
Su, Z., Zeng, W., Wang, Y., Lu, Z.-L., Gu, X.: Shape classification using Wasserstein distance for brain morphometry analysis. In: Ourselin, S., Alexander, D.C., Westin, C.-F., Cardoso, M.J. (eds.) IPMI 2015. LNCS, vol. 9123, pp. 411–423. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-19992-4_32
Yang, J.-J., et al.: Prediction for human intelligence using morphometric characteristics of cortical surface: partial least square analysis. Neuroscience 246, 351–361 (2013)
Zeng, W., Shi, R., Wang, Y., Yau, S.-T., Gu, X.: Teichmüller shape descriptor and its application to Alzheimer’s disease study. Int. J. Comput. Vis. 105(2), 155–170 (2013)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Yang, L. et al. (2019). Conformal Welding for Brain-Intelligence Analysis. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2019. Lecture Notes in Computer Science(), vol 11844. Springer, Cham. https://doi.org/10.1007/978-3-030-33720-9_28
Download citation
DOI: https://doi.org/10.1007/978-3-030-33720-9_28
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-33719-3
Online ISBN: 978-3-030-33720-9
eBook Packages: Computer ScienceComputer Science (R0)