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AuthorPetrich, Lukasdc.contributor.author
AuthorFurat, Orkundc.contributor.author
AuthorWang, Mingyandc.contributor.author
AuthorKrill III, Carl E.dc.contributor.author
AuthorSchmidt, Volkerdc.contributor.author
Date of accession2022-01-19T08:30:47Zdc.date.accessioned
Available in OPARU since2022-01-19T08:30:47Zdc.date.available
Date of first publication2021-12-13dc.date.issued
AbstractThe curvature of grain boundaries in polycrystalline materials is an important characteristic, since it plays a key role in phenomena like grain growth. However, most traditional tessellation models that are used for modeling the microstructure morphology of these materials, e.g., Voronoi or Laguerre tessellations, have flat faces and thus fail to incorporate the curvature of the latter. For this reason, we consider generalizations of Laguerre tessellations—variations of so-called generalized balanced power diagrams (GBPDs)—that exhibit non-convex cells. With as many as ten parameters for each cell, it is computationally demanding to fit GBPDs to three-dimensional image data containing hundreds of grains. We therefore propose a modification of the traditional definition of GBDPs that allows gradient-based optimization methods to be employed. The resulting reduction in runtime makes it feasible to find approximations to real experimental datasets. We demonstrate this on a three-dimensional x-ray diffraction (3DXRD) mapping of an AlCu alloy, but we also evaluate the modeling errors for simulated data. Furthermore, we investigate the effect of noisy image data and whether the smoothing of image data prior to the fitting step is advantageous.dc.description.abstract
Languageendc.language.iso
PublisherUniversität Ulmdc.publisher
LicenseCC BY 4.0 Internationaldc.rights
Link to license texthttps://creativecommons.org/licenses/by/4.0/dc.rights.uri
Keywordpolycrystalline materialdc.subject
Keywordgeneralized balanced power diagramdc.subject
Keywordgradient-based optimizationdc.subject
Keywordimage noisedc.subject
Dewey Decimal GroupDDC 530 / Physicsdc.subject.ddc
LCSHTessellations (Mathematics)dc.subject.lcsh
TitleEfficient fitting of 3D tessellations to curved polycrystalline grain boundariesdc.title
Resource typeWissenschaftlicher Artikeldc.type
SWORD Date2021-12-27T07:33:31Zdc.date.updated
VersionpublishedVersiondc.description.version
DOIhttp://dx.doi.org/10.18725/OPARU-40970dc.identifier.doi
URNhttp://nbn-resolving.de/urn:nbn:de:bsz:289-oparu-41046-3dc.identifier.urn
GNDMathematische Physikdc.subject.gnd
FacultyFakultät für Ingenieurwissenschaften, Informatik und Psychologieuulm.affiliationGeneral
FacultyFakultät für Mathematik und Wirtschaftswissenschaftenuulm.affiliationGeneral
InstitutionInstitut für Stochastikuulm.affiliationSpecific
InstitutionInstitut für Funktionelle Nanosystemeuulm.affiliationSpecific
Peer reviewjauulm.peerReview
DCMI TypeCollectionuulm.typeDCMI
CategoryPublikationenuulm.category
DOI of original publication10.3389/fmats.2021.760602dc.relation1.doi
Source - Title of sourceFrontiers in Materialssource.title
Source - Place of publicationFrontiers Mediasource.publisher
Source - Volume8source.volume
Source - Year2021source.year
Source - Article number760602source.articleNumber
Source - eISSN2296-8016source.identifier.eissn
Open Accessgolduulm.OA
WoS000736041100001uulm.identifier.wos
Bibliographyuulmuulm.bibliographie
xmlui.metadata.uulm.OAfundingOpen-Access-Förderung durch die Universität Ulmuulm.OAfunding


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