Sentence examples for by the diffusion tensor from inspiring English sources
The relation between ∇I and j is described by the diffusion tensor D, a positive definite symmetric matrix.
A distinction is drawn between classes of stochastic differential equations depending on the type of spatial variation or curvature defined by the diffusion tensor.
PDE-based coherence-enhancing diffusion has proved to be an attractive tool, which is an anisotropic diffusion steered by the diffusion tensor that allows a more flexible orientation-dependent filtering [10, 11].
A complementary diffusion was steered by the diffusion tensor constructed from the new structure tensor, which can preserve many important edges, corners, T-junctions as well as narrow peaks and ridge-like structures while removing the noise.
Water molecule diffusion can be described by the diffusion tensor and diffusion coefficient D; as D increases, the diffusion speed increases.
Giubilei et al. (1999) reported corpus callosum atrophy in a small group of adult patients with myotonic dystrophy type 1. Analysing the regional structural changes of the corpus callosum by the diffusion tensor in DTI, a previous diffusion MRI study found associations with volume loss in corresponding cortical regions.
After correcting for distortions due to eddy current and head motion, maps of fractional anisotropy, mean diffusivity, axial diffusivity and radial diffusivity were calculated by fitting the diffusion tensor model within each voxel using the FDT software tool in FSL.
To enable smoothing parallel to edges, Weickert [30] proposed edge enhancing diffusion by constructing the diffusion tensor based on an orientation estimate obtained from observing the image at a larger scale: (9).
The source of these PDBs is not well understood and numerical models describing GCR modulation simulate their effect by scaling the diffusion tensor to the interplanetary magnetic field strength (IMF).
Standard diffusion metrics will be obtained by applying the diffusion tensor model to the low value DWI data (b=1000).
By combining the diffusion tensor data from multiple voxels, fibre tracts can be reconstructed that correlate with the principal diffusion direction of water molecules in a tissue microstructure [ 10].
