Potential biomarkers from positive definite 4th order tensors in hardi

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Authors	KAUSHIK Sumit KYBIC Jan BANSAL Avinash BIHONEGN Temesgen Tsegaye SLOVÁK Jan
Year of publication	2021
Type	Article in Proceedings
Conference	2021 IEEE 18th International Symposium on Biomedical Imaging (ISBI)
MU Faculty or unit	Faculty of Science
Citation
Web	https://doi.org/10.1109/ISBI48211.2021.9434144
Doi	http://dx.doi.org/10.1109/ISBI48211.2021.9434144
Keywords	HARDI; biomarker; 4th order tensor; D-component
Description	In this paper, we provide a framework to evaluate new scalar quantities for higher order tensors (HOT) appearing in high angular resolution diffusion imaging (HARDI). These can potentially serve as biomarkers. It involves flattening of HOTs and extraction of the diagonal D-components. Experiments performed in the 4th order case reveal that D-components encode geometric information unlike the isometric 6D 2nd order Voigt form. The existing invariants obtained from the Voigt form are considered for comparison. We also notice that D-components can be useful in segmentation of white matter structures in crossing regions and classification. Results on phantom and the synthetic dataset support the conclusions.
Related projects:	Symetrie a invariance v analýze, geometrickém modelování a teorii optimálního řízení Matematické struktury 9