KAUSHIK, Sumit, Jan KYBIC, Avinash BANSAL, Temesgen Tsegaye BIHONEGN and Jan SLOVÁK. Potential biomarkers from positive definite 4th order tensors in hardi. Online. In 2021 IEEE 18th International Symposium on Biomedical Imaging (ISBI). New York: IEEE, 2021, p. 1003-1006. ISBN 978-1-6654-1246-9. Available from: https://dx.doi.org/10.1109/ISBI48211.2021.9434144.
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Basic information
Original name Potential biomarkers from positive definite 4th order tensors in hardi
Authors KAUSHIK, Sumit, Jan KYBIC, Avinash BANSAL (356 India, belonging to the institution), Temesgen Tsegaye BIHONEGN (231 Ethiopia, belonging to the institution) and Jan SLOVÁK (203 Czech Republic, guarantor, belonging to the institution).
Edition New York, 2021 IEEE 18th International Symposium on Biomedical Imaging (ISBI), p. 1003-1006, 4 pp. 2021.
Publisher IEEE
Other information
Original language English
Type of outcome Proceedings paper
Field of Study 10102 Applied mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
Publication form electronic version available online
WWW URL
RIV identification code RIV/00216224:14310/21:00119135
Organization unit Faculty of Science
ISBN 978-1-6654-1246-9
ISSN 1945-7928
Doi http://dx.doi.org/10.1109/ISBI48211.2021.9434144
UT WoS 000786144100209
Keywords in English HARDI; biomarker; 4th order tensor; D-component
Tags rivok
Tags International impact, Reviewed
Changed by Changed by: Mgr. Marie Šípková, DiS., učo 437722. Changed: 20/5/2022 09:31.
Abstract
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.
Links
GA20-11473S, research and development projectName: Symetrie a invariance v analýze, geometrickém modelování a teorii optimálního řízení
Investor: Czech Science Foundation
MUNI/A/0885/2019, interní kód MUName: Matematické struktury 9 (Acronym: Matematické struktury 9)
Investor: Masaryk University, Category A
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