TY  - CHAP
A1  - Burgeth, Bernhard
A1  - Kleefeld, Andreas
A1  - Zhang, Eugene
A1  - Zhang, Yue
ED  - Baudrier, Étienne
ED  - Naegel, Benoît
ED  - Krähenbühl, Adrien
ED  - Tajine, Mohamed
T1  - Towards Topological Analysis of Non-symmetric Tensor Fields via Complexification
T2  - Discrete Geometry and Mathematical Morphology
N2  - Fields of asymmetric tensors play an important role in many applications such as medical imaging (diffusion tensor magnetic resonance imaging), physics, and civil engineering (for example Cauchy-Green-deformation tensor, strain tensor with local rotations, etc.). However, such asymmetric tensors are usually symmetrized and then further processed. Using this procedure results in a loss of information. A new method for the processing of asymmetric tensor fields is proposed restricting our attention to tensors of second-order given by a 2x2 array or matrix with real entries. This is achieved by a transformation resulting in Hermitian matrices that have an eigendecomposition similar to symmetric matrices. With this new idea numerical results for real-world data arising from a deformation of an object by external forces are given. It is shown that the asymmetric part indeed contains valuable information.
Y1  - 2022
SN  - 978-3-031-19897-7
U6  - https://doi.org/10.1007/978-3-031-19897-7_5
N1  - Second International Joint Conference, DGMM 2022, Strasbourg, France, October 24–27, 2022
N1  - Corresponding author: Andreas Kleefeld
SP  - 48
EP  - 59
PB  - Springer
CY  - Cham
ER  - 
TY  - CHAP
A1  - Bornheim, Tobias
A1  - Grieger, Niklas
A1  - Bialonski, Stephan
T1  - FHAC at GermEval 2021: Identifying German toxic, engaging, and fact-claiming comments with ensemble learning
T2  - Proceedings of the GermEval 2021 Workshop on the Identification of Toxic, Engaging, and Fact-Claiming Comments : 17th Conference on Natural Language Processing KONVENS 2021
Y1  - 2021
U6  - https://doi.org/10.48415/2021/fhw5-x128
N1  - KONVENS (Konferenz zur Verarbeitung natürlicher Sprache/Conference on Natural Language Processing) 2021, 6. - 9. September 2021, Düsseldorf
SP  - 105
EP  - 111
PB  - Heinrich Heine University
CY  - Düsseldorf
ER  - 
TY  - CHAP
A1  - Iomdina, Elena N.
A1  - Kiseleva, Anna A.
A1  - Kotliar, Konstantin
A1  - Luzhnov, Petr V.
T1  - Quantification of Choroidal Blood Flow Using the OCT-A System Based on Voxel Scan Processing
T2  - Proceedings of the International Conference on Biomedical Innovations and Applications- BIA 2020
N2  - The paper presents a method for the quantitative assessment of choroidal blood flow using an OCT-A system. The developed technique for processing of OCT-A scans is divided into two stages. At the first stage, the identification of the boundaries in the selected portion was performed. At the second stage, each pixel mark on the selected layer was represented as a volume unit, a voxel, which characterizes the region of moving blood. Three geometric shapes were considered to represent the voxel. On the example of one OCT-A scan, this work presents a quantitative assessment of the blood flow index. A possible modification of two-stage algorithm based on voxel scan processing is presented.
Y1  - 2020
SN  - 978-1-7281-7073-2
U6  - https://doi.org/10.1109/BIA50171.2020.9244511
N1  - International Conference on Biomedical Innovations and Applications, Varna, Bulgaria, September 24 - 27, 2020
SP  - 41
EP  - 44
PB  - IEEE
CY  - New York, NY
ER  -