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MICCAI
2010
Springer

Symmetric Positive-Definite Cartesian Tensor Orientation Distribution Functions (CT-ODF)

10 years 9 months ago
Symmetric Positive-Definite Cartesian Tensor Orientation Distribution Functions (CT-ODF)
Abstract. A novel method for estimating a field of orientation distribution functions (ODF) from a given set of DW-MR images is presented. We model the ODF by Cartesian tensor basis using a parametrization that explicitly enforces the positive definite property to the computed ODF. The computed Cartesian tensors, dubbed Cartesian Tensor-ODF (CT-ODF), are symmetric positive definite tensors whose coefficients can be efficiently estimated by solving a linear system with non-negative constraints. Furthermore, we show how to use our method for converting higher-order diffusion tensors to CT-ODFs, which is an essential task since the maxima of higher-order tensors do not correspond to the underlying fiber orientations. We quantitatively evaluate our method using simulated DW-MR images as well as a real brain dataset from a post-mortem porcine brain. The results conclusively demonstrate the superiority of the proposed technique over several existing multi-fiber reconstruction methods.
Yonas T. Weldeselassie, Angelos Barmpoutis, M. Ste
Added 14 Feb 2011
Updated 14 Feb 2011
Type Journal
Year 2010
Where MICCAI
Authors Yonas T. Weldeselassie, Angelos Barmpoutis, M. Stella Atkins
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