On analyzing diffusion tensor images by identifying manifold structure using isomaps.

On analyzing diffusion tensor images by identifying manifold structure using isomaps. Research Abstract Details 

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On analyzing diffusion tensor images by identifying manifold structure using isomaps. Abstract Text:

Ragini Verma,Parmeshwar Khurd,Christos Davatzikos,

This paper addresses the problem of statistical analysis of diffusion tensor magnetic resonance images (DT-MRI). DT-MRI cannot be analyzed by commonly used linear methods, due to the inherent nonlinearity of tensors, which are restricted to lie on a nonlinear submanifold of the space in which they are defined, namely R6. We estimate this submanifold using the Isomap manifold learning technique and perform tensor calculations using geodesic distances along this manifold. Multivariate statistics used in group analyses also use geodesic distances between tensors, thereby warranting that proper estimates of means and covariances are obtained via calculations restricted to the proper subspace of R6. Experimental results on data with known ground truth show that the proposed statistical analysis method properly captures statistical relationships among tensor image data, and it identifies group differences. Comparisons with standard statistical analyses that rely on Euclidean, rather than geodesic distances, are also discussed.

On analyzing diffusion tensor images by identifying manifold structure using isomaps. Publishing Authors By Initials

R Verma,P Khurd,C Davatzikos,

For similar information science: pattern recognition, automated research abstracts see: information science: pattern recognition, automated research

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On analyzing diffusion tensor images by identifying manifold structure using isomaps. Journal Published:

PUBLICATION TYPE: Research Support, U.S. Gov't,

Journal: IEEE transactions on medical imaging

VOLUME: 26

Page Numbers: 772-8

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ISSN: 0278-0062

DAY: 3

MONTH: Jun

YEAR: 2007

On analyzing diffusion tensor images by identifying manifold structure using isomaps. Information

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LANGUAGE: eng

NlmUniqueID: 8310780

On analyzing diffusion tensor images by identifying manifold structure using isomaps. Keywords Mesh Terms:

KEYWORDS: Pattern Recognition, Automated

MESH TERMS: methods

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Grant and Affiliation Information for On analyzing diffusion tensor images by identifying manifold structure using isomaps.

AFFILIATION: Section of Biomedical Image Analysis, Department of Radiology, University of Pennsylvania, Philadelphia, PA 19104, USA. ragini.verma@uphs.upenn.edu

Country: United States

AGENCY: United States NIMH

GRANT: R01-MH070365

ACRONYM: MH

MEDLINETA: IEEE Trans Med Imaging

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