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A unified framework for estimating diffusion tensors of any order with symmetric positive-definite constraints

A unified framework for estimating diffusion tensors of any order with symmetric positive-definite constraints

Cartesian tensors of various orders have been employed for either modeling the diffusivity or the orientation distribution function in Diffusion-Weighted MRI datasets. In both cases, the estimated tensors have to be positive-definite since they model positive-valued functions. In this paper we present a novel unified framework for estimating positive-definite tensors …