Hauptseite > Publikationsdatenbank > Towards Topological Analysis of Non-symmetric Tensor Fields via Complexification > print

001     910341
005     20240918100824.0
020 _ _ |a 978-3-031-19896-0 (print)
020 _ _ |a 978-3-031-19897-7 (electronic)
024 7 _ |a 10.1007/978-3-031-19897-7_5
|2 doi
024 7 _ |a 0302-9743
|2 ISSN
024 7 _ |a 1611-3349
|2 ISSN
024 7 _ |a 2128/32098
|2 Handle
024 7 _ |a WOS:001286406100005
|2 WOS
037 _ _ |a FZJ-2022-03760
041 _ _ |a English
100 1 _ |a Burgeth, Bernhard
|0 0000-0001-6602-6201
|b 0
111 2 _ |a Discrete Geometry and Mathematical Morphology
|g DGMM 2022
|c Strasbourg
|d 2022-10-24 - 2022-10-27
|w France
245 _ _ |a Towards Topological Analysis of Non-symmetric Tensor Fields via Complexification
260 _ _ |a Cham
|c 2022
|b Springer International Publishing
300 _ _ |a 48 - 59
336 7 _ |a CONFERENCE_PAPER
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336 7 _ |a Contribution to a book
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490 0 _ |a Lecture Notes in Computer Science
|v 13493
520 _ _ |a 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 2 × 2 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.
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700 1 _ |a Kleefeld, Andreas
|0 P:(DE-Juel1)169421
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|e Corresponding author
700 1 _ |a Zhang, Eugene
|0 0000-0003-4752-3119
|b 2
700 1 _ |a Zhang, Yue
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773 _ _ |a 10.1007/978-3-031-19897-7_5
856 4 _ |u https://juser.fz-juelich.de/record/910341/files/bbakezyzR2.pdf
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