Multivariate tensor-based morphometry on surfaces

Application to mapping ventricular changes in HIV/AIDS

Yalin Wang, Arthur W. Toga, Paul M. Thompson, Tony F. Chan, Jie Zhang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

We apply multivariate tensor-based morphometry to study lateral ventricular surface abnormalities associated with HIV/AIDS. We use holomorphic one-forms to obtain a conformal parameterization of ventricular geometry, and to register lateral ventricular surfaces across subjects. In a new development, we computed new statistics on the Riemannian surface metric tensors that encode the full information in the deformation tensor fields. We applied this framework to 3D brain MRI data, to map the profile of lateral ventricular surface abnormalities in HIV/AIDS (11 subjects). Experimental results demonstrated that our method powerfully detected brain surface abnormalities. Multivariate Hotelling's T 2 statistics on the local Riemannian metric tensors, computed in a log-Euclidean framework, detected group differences with greater power than other surface-based statistics including the Jacobian determinant, largest and least eigenvalue, or the pair of eigenvalues of the Jacobian matrix. Computational anatomy studies may therefore benefit from surface parameterization using differential forms and tensor-based morphometry, in the log-Euclidean domain, on the resulting surface tensors.

Original languageEnglish (US)
Title of host publicationProceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009
Pages129-132
Number of pages4
DOIs
StatePublished - 2009
Externally publishedYes
Event2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009 - Boston, MA, United States
Duration: Jun 28 2009Jul 1 2009

Other

Other2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009
CountryUnited States
CityBoston, MA
Period6/28/097/1/09

Fingerprint

Tensors
Acquired Immunodeficiency Syndrome
HIV
Brain
Anatomy
Statistics
Parameterization
Jacobian matrices
Magnetic resonance imaging
Geometry

Keywords

  • Holomorphic one-form
  • Multivariate tensor-based morphometry
  • Surface modeling

ASJC Scopus subject areas

  • Biomedical Engineering
  • Radiology Nuclear Medicine and imaging

Cite this

Wang, Y., Toga, A. W., Thompson, P. M., Chan, T. F., & Zhang, J. (2009). Multivariate tensor-based morphometry on surfaces: Application to mapping ventricular changes in HIV/AIDS. In Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009 (pp. 129-132). [5193000] https://doi.org/10.1109/ISBI.2009.5193000

Multivariate tensor-based morphometry on surfaces : Application to mapping ventricular changes in HIV/AIDS. / Wang, Yalin; Toga, Arthur W.; Thompson, Paul M.; Chan, Tony F.; Zhang, Jie.

Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009. 2009. p. 129-132 5193000.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Wang, Y, Toga, AW, Thompson, PM, Chan, TF & Zhang, J 2009, Multivariate tensor-based morphometry on surfaces: Application to mapping ventricular changes in HIV/AIDS. in Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009., 5193000, pp. 129-132, 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009, Boston, MA, United States, 6/28/09. https://doi.org/10.1109/ISBI.2009.5193000
Wang Y, Toga AW, Thompson PM, Chan TF, Zhang J. Multivariate tensor-based morphometry on surfaces: Application to mapping ventricular changes in HIV/AIDS. In Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009. 2009. p. 129-132. 5193000 https://doi.org/10.1109/ISBI.2009.5193000
Wang, Yalin ; Toga, Arthur W. ; Thompson, Paul M. ; Chan, Tony F. ; Zhang, Jie. / Multivariate tensor-based morphometry on surfaces : Application to mapping ventricular changes in HIV/AIDS. Proceedings - 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, ISBI 2009. 2009. pp. 129-132
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