Potential biomarkers from positive definite 4th order tensors
in hardi

D 2021

Potential biomarkers from positive definite 4th order tensors in hardi

KAUSHIK, Sumit, Jan KYBIC, Avinash BANSAL, Temesgen Tsegaye BIHONEGN, Jan SLOVÁK et. al.

Základní údaje

Originální název

Potential biomarkers from positive definite 4th order tensors in hardi

Autoři

KAUSHIK, Sumit, Jan KYBIC, Avinash BANSAL (356 Indie, domácí), Temesgen Tsegaye BIHONEGN (231 Etiopie, domácí) a Jan SLOVÁK (203 Česká republika, garant, domácí)

Vydání

New York, 2021 IEEE 18th International Symposium on Biomedical Imaging (ISBI), od s. 1003-1006, 4 s. 2021

Nakladatel

IEEE

Další údaje

Jazyk

angličtina

Typ výsledku

Stať ve sborníku

Obor

10102 Applied mathematics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Forma vydání

elektronická verze "online"

Odkazy

URL

Kód RIV

RIV/00216224:14310/21:00119135

Organizační jednotka

Přírodovědecká fakulta

ISBN

978-1-6654-1246-9

ISSN

DOI

http://dx.doi.org/10.1109/ISBI48211.2021.9434144

UT WoS

000786144100209

Klíčová slova anglicky

HARDI; biomarker; 4th order tensor; D-component

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 20. 5. 2022 09:31, Mgr. Marie Šípková, DiS.

Anotace

V originále

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.

Návaznosti

GA20-11473S, projekt VaV

Název: Symetrie a invariance v analýze, geometrickém modelování a teorii optimálního řízení

Investor: Grantová agentura ČR, Symetrie a invariance v analýze, geometrickém modelování a teorii optimálního řízení

MUNI/A/0885/2019, interní kód MU

Název: Matematické struktury 9 (Akronym: Matematické struktury 9)

Investor: Masarykova univerzita, Matematické struktury 9, DO R. 2020_Kategorie A - Specifický výzkum - Studentské výzkumné projekty

Citovat

KAUSHIK, Sumit, Jan KYBIC, Avinash BANSAL, Temesgen Tsegaye BIHONEGN a 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, s. 1003-1006. ISBN 978-1-6654-1246-9. Dostupné z: https://dx.doi.org/10.1109/ISBI48211.2021.9434144.

@inproceedings{1786603,
   author = {Kaushik, Sumit and Kybic, Jan and Bansal, Avinash and Bihonegn, Temesgen Tsegaye and Slovák, Jan},
   address = {New York},
   booktitle = {2021 IEEE 18th International Symposium on Biomedical Imaging (ISBI)},
   doi = {http://dx.doi.org/10.1109/ISBI48211.2021.9434144},
   keywords = {HARDI; biomarker; 4th order tensor; D-component},
   howpublished = {elektronická verze "online"},
   language = {eng},
   location = {New York},
   isbn = {978-1-6654-1246-9},
   pages = {1003-1006},
   publisher = {IEEE},
   title = {Potential biomarkers from positive definite 4th order tensors in hardi},
   url = {https://doi.org/10.1109/ISBI48211.2021.9434144},
   year = {2021}
}

TY  - JOUR
ID  - 1786603
AU  - Kaushik, Sumit - Kybic, Jan - Bansal, Avinash - Bihonegn, Temesgen Tsegaye - Slovák, Jan
PY  - 2021
TI  - Potential biomarkers from positive definite 4th order tensors in hardi
PB  - IEEE
CY  - New York
SN  - 9781665412469
KW  - HARDI
KW  - biomarker
KW  - 4th order tensor
KW  - D-component
UR  - https://doi.org/10.1109/ISBI48211.2021.9434144
N2  - 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.
ER  -

KAUSHIK, Sumit, Jan KYBIC, Avinash BANSAL, Temesgen Tsegaye BIHONEGN a Jan SLOVÁK. Potential biomarkers from positive definite 4th order tensors in hardi. Online. In \textit{2021 IEEE 18th International Symposium on Biomedical Imaging (ISBI)}. New York: IEEE, 2021, s.~1003-1006. ISBN~978-1-6654-1246-9. Dostupné z: https://dx.doi.org/10.1109/ISBI48211.2021.9434144.

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