Keywords: Diffusion/other diffusion imaging techniques, Microstructure, diffusion tensor distribution, DTD, gray matter, cortical layers, DTIWe propose a practical new framework for mapping non-parametric diffusion tensor distributions (DTDs). For diffusion MRI data with sufficiently high spatial resolution, we can constrain all microscopic diffusion tensors of the DTD to be diagonalized using a single orthonormal reference frame estimated from the entire mesoscopic voxel. The constrained DTD is determined by the correlation spectrum of the corresponding microscopic principal diffusivities and can be measured very efficiently using Inverse Laplace Transform methods and single diffusion encoded measurements. cDTD spectral components measured in cortical tissue show good sensitivity to cytoarchitectonic domains and reveal lamination patterns observed in corresponding histological images.
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