Generalized Invariants of a 4th order tensor: Building blocks for new biomarkers in dMRI
Abstract
This paper presents a general and complete (up to degree 4) set of invariants of 3D 4th order tensors with respect to SO3. The invariants to SO3 for the 2nd order diffusion tensor are well known and play a crucial role in deriving important biomarkers for DTI, e.g. MD, FA, RA, etc. But DTI is limited in regions with fiber heterogeneity and DTI biomarkers severely lack specificity. 4th order tensors are both a natural extension to DTI and also...
Paper Details
Title
Generalized Invariants of a 4th order tensor: Building blocks for new biomarkers in dMRI
Published Date
Jan 1, 2012
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