000910341 001__ 910341
000910341 005__ 20240918100824.0
000910341 020__ $$a978-3-031-19896-0 (print)
000910341 020__ $$a978-3-031-19897-7 (electronic)
000910341 0247_ $$2doi$$a10.1007/978-3-031-19897-7_5
000910341 0247_ $$2ISSN$$a0302-9743
000910341 0247_ $$2ISSN$$a1611-3349
000910341 0247_ $$2Handle$$a2128/32098
000910341 0247_ $$2WOS$$aWOS:001286406100005
000910341 037__ $$aFZJ-2022-03760
000910341 041__ $$aEnglish
000910341 1001_ $$00000-0001-6602-6201$$aBurgeth, Bernhard$$b0
000910341 1112_ $$aDiscrete Geometry and Mathematical Morphology$$cStrasbourg$$d2022-10-24 - 2022-10-27$$gDGMM 2022$$wFrance
000910341 245__ $$aTowards Topological Analysis of Non-symmetric Tensor Fields via Complexification
000910341 260__ $$aCham$$bSpringer International Publishing$$c2022
000910341 300__ $$a48 - 59
000910341 3367_ $$2ORCID$$aCONFERENCE_PAPER
000910341 3367_ $$033$$2EndNote$$aConference Paper
000910341 3367_ $$2BibTeX$$aINPROCEEDINGS
000910341 3367_ $$2DRIVER$$aconferenceObject
000910341 3367_ $$2DataCite$$aOutput Types/Conference Paper
000910341 3367_ $$0PUB:(DE-HGF)8$$2PUB:(DE-HGF)$$aContribution to a conference proceedings$$bcontrib$$mcontrib$$s1666670608_10468
000910341 3367_ $$0PUB:(DE-HGF)7$$2PUB:(DE-HGF)$$aContribution to a book$$mcontb
000910341 4900_ $$aLecture Notes in Computer Science$$v13493
000910341 520__ $$aFields of asymmetric tensors play an important role in many applications such as medical imaging (diffusion tensor magnetic resonance imaging), physics, and civil engineering (for example Cauchy-Green-deformation tensor, strain tensor with local rotations, etc.). However, such asymmetric tensors are usually symmetrized and then further processed. Using this procedure results in a loss of information. A new method for the processing of asymmetric tensor fields is proposed restricting our attention to tensors of second-order given by a 2 × 2 array or matrix with real entries. This is achieved by a transformation resulting in Hermitian matrices that have an eigendecomposition similar to symmetric matrices. With this new idea numerical results for real-world data arising from a deformation of an object by external forces are given. It is shown that the asymmetric part indeed contains valuable information.
000910341 536__ $$0G:(DE-HGF)POF4-5112$$a5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs) and Research Groups (POF4-511)$$cPOF4-511$$fPOF IV$$x0
000910341 588__ $$aDataset connected to CrossRef Book Series, Journals: juser.fz-juelich.de
000910341 7001_ $$0P:(DE-Juel1)169421$$aKleefeld, Andreas$$b1$$eCorresponding author
000910341 7001_ $$00000-0003-4752-3119$$aZhang, Eugene$$b2
000910341 7001_ $$0P:(DE-HGF)0$$aZhang, Yue$$b3
000910341 773__ $$a10.1007/978-3-031-19897-7_5
000910341 8564_ $$uhttps://juser.fz-juelich.de/record/910341/files/bbakezyzR2.pdf$$yOpenAccess
000910341 909CO $$ooai:juser.fz-juelich.de:910341$$pdnbdelivery$$pdriver$$pVDB$$popen_access$$popenaire
000910341 9101_ $$0I:(DE-HGF)0$$60000-0001-6602-6201$$aExternal Institute$$b0$$kExtern
000910341 9101_ $$0I:(DE-588b)5008462-8$$6P:(DE-Juel1)169421$$aForschungszentrum Jülich$$b1$$kFZJ
000910341 9101_ $$0I:(DE-HGF)0$$60000-0003-4752-3119$$aExternal Institute$$b2$$kExtern
000910341 9101_ $$0I:(DE-HGF)0$$6P:(DE-HGF)0$$aExternal Institute$$b3$$kExtern
000910341 9131_ $$0G:(DE-HGF)POF4-511$$1G:(DE-HGF)POF4-510$$2G:(DE-HGF)POF4-500$$3G:(DE-HGF)POF4$$4G:(DE-HGF)POF$$9G:(DE-HGF)POF4-5112$$aDE-HGF$$bKey Technologies$$lEngineering Digital Futures – Supercomputing, Data Management and Information Security for Knowledge and Action$$vEnabling Computational- & Data-Intensive Science and Engineering$$x0
000910341 9141_ $$y2022
000910341 915__ $$0StatID:(DE-HGF)0200$$2StatID$$aDBCoverage$$bSCOPUS$$d2020-08-25
000910341 915__ $$0StatID:(DE-HGF)0510$$2StatID$$aOpenAccess
000910341 915__ $$0StatID:(DE-HGF)0420$$2StatID$$aNationallizenz$$d2020-08-25$$wger
000910341 920__ $$lno
000910341 9201_ $$0I:(DE-Juel1)JSC-20090406$$kJSC$$lJülich Supercomputing Center$$x0
000910341 980__ $$acontrib
000910341 980__ $$aVDB
000910341 980__ $$aUNRESTRICTED
000910341 980__ $$acontb
000910341 980__ $$aI:(DE-Juel1)JSC-20090406
000910341 9801_ $$aFullTexts