TY  - CONF
AU  - Burgeth, Bernhard
AU  - Kleefeld, Andreas
AU  - Zhang, Eugene
AU  - Zhang, Yue
TI  - Towards Topological Analysis of Non-symmetric Tensor Fields via Complexification
VL  - 13493
CY  - Cham
PB  - Springer International Publishing
M1  - FZJ-2022-03760
SN  - 978-3-031-19896-0 (print)
T2  - Lecture Notes in Computer Science
SP  - 48 - 59
PY  - 2022
AB  - 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.
T2  - Discrete Geometry and Mathematical Morphology
CY  - 24 Oct 2022 - 27 Oct 2022, Strasbourg (France)
Y2  - 24 Oct 2022 - 27 Oct 2022
M2  - Strasbourg, France
LB  - PUB:(DE-HGF)8 ; PUB:(DE-HGF)7
UR  - <Go to ISI:>//WOS:001286406100005
DO  - DOI:10.1007/978-3-031-19897-7_5
UR  - https://juser.fz-juelich.de/record/910341
ER  -