BIHONEGN, Temesgen Tsegaye, Sumit KAUSHIK, Avinash BANSAL, Lubomír VOJTÍŠEK and Jan SLOVÁK. Geodesic fiber tracking in white matter using activation function. Computer Methods and Programs in Biomedicine. Elsevier, 2021, vol. 208, September, p. "106283", 14 pp. ISSN 0169-2607. Available from: https://dx.doi.org/10.1016/j.cmpb.2021.106283.
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Basic information
Original name Geodesic fiber tracking in white matter using activation function
Authors BIHONEGN, Temesgen Tsegaye (231 Ethiopia, belonging to the institution), Sumit KAUSHIK (356 India, belonging to the institution), Avinash BANSAL (356 India, belonging to the institution), Lubomír VOJTÍŠEK (203 Czech Republic, belonging to the institution) and Jan SLOVÁK (203 Czech Republic, guarantor, belonging to the institution).
Edition Computer Methods and Programs in Biomedicine, Elsevier, 2021, 0169-2607.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10102 Applied mathematics
Country of publisher Ireland
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 7.027
RIV identification code RIV/00216224:14310/21:00119136
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1016/j.cmpb.2021.106283
UT WoS 000685504200002
Keywords in English Diffusion Tensor Imaging; Ray-tracing; Metric tensor; Fiber tracking; Geodesic equations
Tags CF MAFIL, rivok
Tags International impact, Reviewed
Changed by Changed by: prof. RNDr. Jan Slovák, DrSc., učo 1424. Changed: 18/3/2022 15:55.
Abstract
Background and objective:The geodesic ray-tracing method has shown its effectiveness for the reconstruction of fibers in white matter structure. Based on reasonable metrics on the spaces of the diffusion tensors, it can provide multiple solutions and get robust to noise and curvatures of fibers. The choice of the metric on the spaces of diffusion tensors has a significant impact on the outcome of this method. Our objective is to suggest metrics and modifications of the algorithms leading to more satisfactory results in the construction of white matter tracts as geodesics. Methods:Starting with the DTI modality, we propose to rescale the initially chosen metric on the space of diffusion tensors to increase the geodetic cost in the isotropic regions. This change should be conformal in order to preserve the angles between crossing fibers. We also suggest to enhance the methods to be more robust to noise and to employ the fourth order tensor data in order to handle the fiber crossings properly. Results: We propose a way to choose the appropriate conformal class of metrics where the metric gets scaled according to tensor anisotropy. We use the logistic functions, which are commonly used in statistics as cumulative distribution functions. To prevent deviation of geodesics from the actual paths, we propose a hybrid ray-tracing approach. Furthermore, we suggest how to employ diagonal projections of 4th order tensors to perform fiber tracking in crossing regions. Conclusions: The algorithms based on the newly suggested methods were succesfuly implemented, their performance was tested on both synthetic and real data, and compared to some of the previously known approaches.
Links
GA20-11473S, research and development projectName: Symetrie a invariance v analýze, geometrickém modelování a teorii optimálního řízení
Investor: Czech Science Foundation
LM2018129, research and development projectName: Národní infrastruktura pro biologické a medicínské zobrazování Czech-BioImaging
Investor: Ministry of Education, Youth and Sports of the CR
MUNI/A/0885/2019, interní kód MUName: Matematické struktury 9 (Acronym: Matematické struktury 9)
Investor: Masaryk University, Category A
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