Finsler Geometry on Higher Order Tensor Fields and Applications to High Angular Resolution Diffusion Imaging
نویسندگان
چکیده
منابع مشابه
Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging.
A new method for mapping diffusivity profiles in tissue is presented. The Bloch-Torrey equation is modified to include a diffusion term with an arbitrary rank Cartesian tensor. This equation is solved to give the expression for the generalized Stejskal-Tanner formula quantifying diffusive attenuation in complicated geometries. This makes it possible to calculate the components of higher-rank te...
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Due to the well-known limitations of diffusion tensor imaging (DTI), high angular resolution diffusion imaging (HARDI) is used to characterize non-Gaussian diffusion processes. One approach to analyze HARDI data is to model the apparent diffusion coefficient (ADC) with higher order diffusion tensors (HODT). The diffusivity function is positive semi-definite. In the literature, some methods have...
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ژورنال
عنوان ژورنال: International Journal of Computer Vision
سال: 2010
ISSN: 0920-5691,1573-1405
DOI: 10.1007/s11263-010-0377-z