Method to significantly reduce bias and variance of diffusion an

Details Method to significantly reduce bias and variance of diffusion an Method to significantly reduce bias and variance of diffusion an

1997-04-14

1999-10-19

Boudreau, Leo H.

Electricity: measuring and testing

Particle precession resonance

Using a nuclear resonance spectrometer system

324309, 382128, G01V 300

Patent

active

059695242

ABSTRACT:
A method for quantitatively assessing diffusion anisotropy according to an invariant anisotropy index that accounts for orientational coherence of the measured principal directions between different localized regions of an object to counteract the bias and increased variance effects of noise inherent in the diffusion measurement. A diffusion weighted imaging sequence is performed on a two-dimensional slice of an object to provide raw diffusion weighted image signals, which are processed by conventional Fourier transform and magnitude reconstruction to provide diffusion weighted images, from which a diffusion tensor is estimated for each voxel of the imaged slice. In each voxel a lattice anisotropy index is calculated as a function of both the eigenvalues and eigenvectors of neighboring voxels such that intervoxel orientational coherence compensates noise-induced bias effects. The orientational coherence measure between two voxels is calculated according to an intervoxel deviatoric tensor dot product. The intervoxel lattice index for a given voxel is locally averaged over a group of adjacent voxel to provide a resulting lattice index for the given voxel. Lattice index images for visual observation of diffusion anisotropy are generated according to the lattice index in each voxel. Monte Carlo simulations are used to assess the noise immunity of lattice index functions formulated according to the present invention.

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