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Abstract #0303

A Joint PDF for the Eigenvalues and Eigenvectors of a Diffusion Tensor

Sinisa Pajevic1, Peter J. Basser2

1CIT, NIH, Bethesda, MD, United States; 2NICHD, NIH, Bethesda, MD, United States

We propose a joint probability density function (pdf) of the eigensystem of a 2nd-order estimated diffusion tensor, which we show decouples into a product of pdfs of its eigenvalues and eigenvectors for a well-designed MR experiment and moderate SNR. This finding provides the foundation for the development of a rigorous and general statistical hypothesis-testing framework valid for measured DTI data.