Multi-scale Voxel-Based Morphometry Via Weighted Spherical Harmonic Representation

  • Moo K. Chung
  • Li Shen
  • Kim M. Dalton
  • Richard J. Davidson
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4091)


Although the voxel-based morphometry (VBM) has been widely used in quantifying the amount of gray matter of the human brain, the optimal amount of registration that should be used in VBM has not been addressed. In this paper, we present a novel multi-scale VBM using the weighted spherical harmonic (SPHARM) representation to address the issue. The weighted-SPHARM provides the explicit smooth functional representation of a true unknown cortical boundary. Based on this new representation, the gray matter tissue density is constructed using the Euclidean distance map from a voxel to the estimated smooth cortical boundary. The methodology is applied in localizing abnormal cortical regions in a group of autistic subjects.


Gray Matter Image Registration High Functioning Autistic Gray Matter Density Autistic Subject 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Ashburner, J., Friston, K.J.: Voxel-Based Morphometry - The Methods. NeuroImage 11, 805–821 (2000)CrossRefGoogle Scholar
  2. 2.
    Bookstein, F.L.: Voxel-based morphometry should not be used with imperfectly registered images. NeuroImage 14, 1454–1462 (2001)CrossRefGoogle Scholar
  3. 3.
    Chung, M.K., Shen, L., Dalton, K.M., Kelley, D.J., Robbins, S.M., Evans, A.C., Davidson, R.J.: Weighted spherical harmonic representation and its application to cortical analysis. Technical Report 1118. Dept. of Stat., University of Wisconsin-Madison,
  4. 4.
    Davatzikos, C., Genc, A., Xu, D., Resnick, S.M.: Voxel-based morphometry using the RAVENS maps: Methods and validation using simulated longitudinal atrophy. NeuroImage 14, 1361–1369 (2001)CrossRefGoogle Scholar
  5. 5.
    Friedman, J.H., Bentley, J.L., Finkel, R.A.: An algorithm for finding best matches in logarithmic expected Time. ACM transactions on mathematics software 3, 209–226 (1997)CrossRefGoogle Scholar
  6. 6.
    Gerig, G., Styner, M., Jones, D., Weinberger, D., Lieberman, J.: Shape analysis of brain ventricles using spharm. In: MMBIA, pp. 171–178 (2001)Google Scholar
  7. 7.
    Gu, X., Wang, Y., Chan, T., Thompson, T., Yau, S.T.: Genus zero surface conformal mapping and its application to brain surface mapping. IEEE Transactions on Medical Imaging 23, 1–10 (2004)CrossRefGoogle Scholar
  8. 8.
    MacDonald, J., Kabani, N., Avis, D., Evans, A.: Automated 3-d extraction of inner and outer surfaces of cerebral cortex from MRI. NeuroImage 12, 340–356 (2000)CrossRefGoogle Scholar
  9. 9.
    Paus, T., Zijdenbos, A., Worsley, K., Collins, D.L., Blumenthal, J., Giedd, J.N., Rapoport, J.L., Evans, A.C.: Structural maturation of neural pathways in children and adolescents: In Vivo Study. Science 283, 1908–1911 (1999)CrossRefGoogle Scholar
  10. 10.
    Shen, L., Ford, J., Makedon, F., Saykin, A.: Surface-based approach for classification of 3d neuroanatomical structures. Intelligent Data Analysis 8 (2004)Google Scholar
  11. 11.
    Thompson, P.M., Hayashi, K.M., de Zubicaray, G., Janke, A.L., Rose, S.E., Semple, J., Herman, D., Hong, M.S., Dittmer, S.S., Doddrell, D.M., Toga, A.W.: Dynamics of gray matter loss in Alzheimer’s disease. Journal of Neuroscience 23, 994–1005 (2003)Google Scholar
  12. 12.
    Worsley, K.J., Marrett, S., Neelin, P., Vandal, A.C., Friston, K.J., Evans, A.C.: A unified statistical approach for determining significant signals in images of cerebral activation. Human Brain Mapping 4, 58–73 (1996)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Moo K. Chung
    • 1
    • 2
  • Li Shen
    • 4
  • Kim M. Dalton
    • 2
  • Richard J. Davidson
    • 2
    • 3
  1. 1.Department of Statistics, Biostatistics and Medical Informatics 
  2. 2.Waisman Laboratory for Brain Imaging and Behavior 
  3. 3.Department of Psychology and PsychiatryUniversity of Wisconsin-MadisonMadison
  4. 4.Computer and Information Science DepartmentUniversity of Massachusetts-Dartmouth

Personalised recommendations